HydrogenFluidProperties Class Reference

Hydrogen (H2) fluid properties as a function of pressure (Pa) and temperature (K). More...

#include <HydrogenFluidProperties.h>

Inheritance diagram for HydrogenFluidProperties:

Public Member Functions
	HydrogenFluidProperties (const InputParameters &parameters)
virtual std::string	fluidName () const override
	Fluid name. More...
virtual Real	molarMass () const override
	Molar mass [kg/mol]. More...
virtual Real	mu_from_rho_T (Real density, Real temperature) const override
	Dynamic viscosity as a function of density and temperature. More...
virtual void	mu_from_rho_T (Real density, Real temperature, Real ddensity_dT, Real &mu, Real &dmu_drho, Real &dmu_dT) const override
	Dynamic viscosity and its derivatives wrt density and temperature. More...
virtual Real	mu_from_p_T (Real pressure, Real temperature) const override
virtual void	mu_from_p_T (Real pressure, Real temperature, Real &mu, Real &dmu_dp, Real &dmu_dT) const override
virtual void	rho_mu_from_p_T (Real pressure, Real temperature, Real &rho, Real &mu) const override
virtual void	rho_mu_from_p_T (Real pressure, Real temperature, Real &rho, Real &drho_dp, Real &drho_dT, Real &mu, Real &dmu_dp, Real &dmu_dT) const override
	Density and viscosity and their derivatives wrt pressure and temperature. More...
virtual Real	k_from_rho_T (Real density, Real temperature) const override
	Thermal conductivity as a function of density and temperature. More...
virtual Real	k_from_p_T (Real pressure, Real temperature) const override
	Thermal conductivity. More...
virtual void	k_from_p_T (Real pressure, Real temperature, Real &k, Real &dk_dp, Real &dk_dT) const override
	Thermal conductivity and its derivatives wrt pressure and temperature. More...
virtual Real	henryConstant (Real temperature) const override
	Henry's law constant for dissolution in water. More...
virtual void	henryConstant (Real temperature, Real &Kh, Real &dKh_dT) const override
	Henry's law constant for dissolution in water and derivative wrt temperature. More...
virtual Real	criticalPressure () const override
	Critical pressure. More...
virtual Real	criticalTemperature () const override
	Critical temperature. More...
virtual Real	criticalDensity () const override
	Critical density. More...
virtual Real	triplePointPressure () const override
	Triple point pressure. More...
virtual Real	triplePointTemperature () const override
	Triple point temperature. More...
virtual Real	vaporPressure (Real temperature) const override
	Vapor pressure. More...
virtual void	vaporPressure (Real temperature, Real &psat, Real &dpsat_dT) const override
	Vapor pressure. More...
virtual Real	rho_from_p_T (Real pressure, Real temperature) const override
	Density from pressure and temperature. More...
virtual void	rho_from_p_T (Real pressure, Real temperature, Real &rho, Real &drho_dp, Real &drho_dT) const override
	Density and its derivatives from pressure and temperature. More...
virtual Real	e_from_p_T (Real pressure, Real temperature) const override
	Internal energy from pressure and temperature. More...
virtual void	e_from_p_T (Real p, Real T, Real &e, Real &de_dp, Real &de_dT) const override
	Internal energy and its derivatives from pressure and temperature. More...
virtual Real	c_from_p_T (Real pressure, Real temperature) const override
	Speed of sound. More...
virtual Real	cp_from_p_T (Real pressure, Real temperature) const override
	Isobaric specific heat capacity. More...
virtual Real	cp_from_p_T (Real pressure, Real temperature) const
	Isobaric specific heat capacity. More...
virtual void	cp_from_p_T (Real pressure, Real temperature, Real &cp, Real &dcp_dp, Real &dcp_dT) const
	Isobaric specific heat capacity from pressure and temperature. More...
virtual void	cp_from_p_T (Real pressure, Real temperature, Real &cp, Real &dcp_dp, Real &dcp_dT) const
	Isobaric specific heat capacity from pressure and temperature. More...
virtual Real	cv_from_p_T (Real pressure, Real temperature) const override
	Isochoric specific heat. More...
virtual Real	s_from_p_T (Real pressure, Real temperature) const override
	Specific entropy from pressure and temperature. More...
virtual void	s_from_p_T (Real p, Real T, Real &s, Real &ds_dp, Real &ds_dT) const override
	Specific entropy and its derivatives from pressure and temperature. More...
virtual Real	h_from_p_T (Real pressure, Real temperature) const override
	Specific enthalpy from pressure and temperature. More...
virtual void	h_from_p_T (Real p, Real T, Real &h, Real &dh_dp, Real &dh_dT) const override
	Specific enthalpy and its derivatives from pressure and temperature. More...
virtual Real	p_from_rho_T (Real rho, Real T) const
	Pressure as a function of density and temperature. More...
virtual Real	p_from_v_e (Real v, Real e) const
	Pressure from specific volume and specific internal energy. More...
virtual void	p_from_v_e (Real v, Real e, Real &p, Real &dp_dv, Real &dp_de) const
	Pressure and its derivatives from specific volume and specific internal energy. More...
virtual Real	T_from_v_e (Real v, Real e) const
	Temperature from specific volume and specific internal energy. More...
virtual void	T_from_v_e (Real v, Real e, Real &T, Real &dT_dv, Real &dT_de) const
	Temperature and its derivatives from specific volume and specific internal energy. More...
virtual Real	c_from_v_e (Real v, Real e) const
	Sound speed from specific volume and specific internal energy. More...
virtual void	c_from_v_e (Real v, Real e, Real &c, Real &dc_dv, Real &dc_de) const
	Sound speed and its derivatives from specific volume and specific internal energy. More...
virtual Real	cp_from_v_e (Real v, Real e) const
	Isobaric (constant-pressure) specific heat from specific volume and specific internal energy. More...
virtual void	cp_from_v_e (Real v, Real e, Real &cp, Real &dcp_dv, Real &dcp_de) const
	Isobaric (constant pressure) specific heat from specific volume and specific internal energy. More...
virtual Real	cv_from_v_e (Real v, Real e) const
	Isochoric (constant-volume) specific heat from specific volume and specific internal energy. More...
virtual Real	mu_from_v_e (Real v, Real e) const
	Dynamic viscosity from specific volume and specific internal energy. More...
virtual Real	k_from_v_e (Real v, Real e) const
	Thermal conductivity from specific volume and specific internal energy. More...
virtual Real	s_from_v_e (Real v, Real e) const
	Specific entropy from specific volume and specific internal energy. More...
virtual void	s_from_v_e (Real v, Real e, Real &s, Real &ds_dv, Real &ds_de) const
	Specific entropy and its derivatives from specific volume and specific internal energy. More...
virtual Real	s (Real pressure, Real temperature) const
virtual Real	s_from_h_p (Real h, Real p) const
	Specific entropy from specific enthalpy and pressure. More...
virtual void	s_from_h_p (Real h, Real p, Real &s, Real &ds_dh, Real &ds_dp) const
	Specific entropy and its derivatives from specific enthalpy and pressure. More...
virtual Real	rho_from_p_s (Real p, Real s) const
	Density from pressure and specific entropy. More...
virtual void	rho_from_p_s (Real p, Real s, Real &rho, Real &drho_dp, Real &drho_ds) const
	Density and its derivatives from pressure and specific entropy. More...
virtual Real	e_from_v_h (Real v, Real h) const
	Specific internal energy as a function of specific volume and specific enthalpy. More...
virtual void	e_from_v_h (Real v, Real h, Real &e, Real &de_dv, Real &de_dh) const
	Specific internal energy and derivatives as a function of specific volume and specific enthalpy. More...
virtual Real	rho (Real p, Real T) const
virtual void	rho_dpT (Real pressure, Real temperature, Real &rho, Real &drho_dp, Real &drho_dT) const
virtual Real	v_from_p_T (Real p, Real T) const
	Specific volume from pressure and temperature. More...
virtual void	v_from_p_T (Real p, Real T, Real &v, Real &dv_dp, Real &dv_dT) const
	Specific volume and its derivatives from pressure and temperature. More...
virtual Real	e_from_p_rho (Real p, Real rho) const
	Specific internal energy from pressure and density. More...
virtual void	e_from_p_rho (Real p, Real rho, Real &e, Real &de_dp, Real &de_drho) const
	Specific internal energy and its derivatives from pressure and density. More...
virtual Real	e_spndl_from_v (Real v) const
	Specific internal energy from temperature and specific volume. More...
virtual void	v_e_spndl_from_T (Real T, Real &v, Real &e) const
	Specific internal energy from temperature and specific volume. More...
virtual Real	e_from_T_v (Real T, Real v) const
	Specific volume and specific internal energy from temerature at the vapor spinodal. More...
virtual void	e_from_T_v (Real T, Real v, Real &e, Real &de_dT, Real &de_dv) const
	Specific internal energy and its derivatives from temperature and specific volume. More...
virtual Real	p_from_T_v (Real T, Real v) const
	Pressure from temperature and specific volume. More...
virtual void	p_from_T_v (Real T, Real v, Real &p, Real &dp_dT, Real &dp_dv) const
	Pressure and its derivatives from temperature and specific volume. More...
virtual Real	h_from_T_v (Real T, Real v) const
	Specific enthalpy from temperature and specific volume. More...
virtual void	h_from_T_v (Real T, Real v, Real &h, Real &dh_dT, Real &dh_dv) const
	Specific enthalpy and its derivatives from temperature and specific volume. More...
virtual Real	s_from_T_v (Real T, Real v) const
	Specific entropy from temperature and specific volume. More...
virtual void	s_from_T_v (Real T, Real v, Real &s, Real &ds_dT, Real &ds_dv) const
	Specific entropy and its derivatives from temperature and specific volume. More...
virtual Real	cv_from_T_v (Real T, Real v) const
	Specific isochoric heat capacity from temperature and specific volume. More...
virtual Real	h (Real p, Real T) const
virtual void	h_dpT (Real pressure, Real temperature, Real &h, Real &dh_dp, Real &dh_dT) const
virtual Real	e (Real pressure, Real temperature) const
virtual void	e_dpT (Real pressure, Real temperature, Real &e, Real &de_dp, Real &de_dT) const
virtual Real	p_from_h_s (Real h, Real s) const
	Pressure from specific enthalpy and specific entropy. More...
virtual void	p_from_h_s (Real h, Real s, Real &p, Real &dp_dh, Real &dp_ds) const
	Pressure and its derivatives from specific enthalpy and specific entropy. More...
virtual Real	g_from_v_e (Real v, Real e) const
	Gibbs free energy from specific volume and specific internal energy. More...
virtual Real	beta_from_p_T (Real p, Real T) const
	Thermal expansion coefficient from pressure and temperature. More...
virtual void	beta_from_p_T (Real p, Real T, Real &beta, Real &dbeta_dp, Real &dbeta_dT) const
	Thermal expansion coefficient and its derivatives from pressure and temperature. More...
virtual Real	beta (Real pressure, Real temperature) const
virtual Real	pp_sat_from_p_T (Real p, Real T) const
	Partial pressure at saturation in a gas mixture. More...
virtual Real	T_from_p_h (Real pressure, Real enthalpy) const
	Temperature from pressure and specific enthalpy. More...
virtual Real	criticalInternalEnergy () const
	Critical specific internal energy. More...
virtual void	rho_e_from_p_T (Real pressure, Real temperature, Real &rho, Real &drho_dp, Real &drho_dT, Real &e, Real &de_dp, Real &de_dT) const
	Density and internal energy and their derivatives wrt pressure and temperature. More...
virtual void	rho_e_dpT (Real pressure, Real temperature, Real &rho, Real &drho_dp, Real &drho_dT, Real &e, Real &de_dp, Real &de_dT) const
virtual Real	c (Real pressure, Real temperature) const
virtual Real	gamma_from_p_T (Real pressure, Real temperature) const
	Adiabatic index - ratio of specific heats. More...
virtual Real	mu (Real pressure, Real temperature) const
	Dynamic viscosity. More...
virtual void	mu_dpT (Real pressure, Real temperature, Real &mu, Real &dmu_dp, Real &dmu_dT) const
	Dynamic viscosity and its derivatives wrt pressure and temperature. More...
virtual void	mu_drhoT_from_rho_T (Real density, Real temperature, Real ddensity_dT, Real &mu, Real &dmu_drho, Real &dmu_dT) const
virtual void	rho_mu (Real pressure, Real temperature, Real &rho, Real &mu) const
	Density and viscosity. More...
virtual void	rho_mu_dpT (Real pressure, Real temperature, Real &rho, Real &drho_dp, Real &drho_dT, Real &mu, Real &dmu_dp, Real &dmu_dT) const
virtual Real	k (Real pressure, Real temperature) const
virtual void	k_dpT (Real pressure, Real temperature, Real &k, Real &dk_dp, Real &dk_dT) const
virtual void	henryConstant_dT (Real temperature, Real &Kh, Real &dKh_dT) const
virtual void	vaporPressure_dT (Real temperature, Real &psat, Real &dpsat_dT) const
virtual void	execute () final
virtual void	initialize () final
virtual void	finalize () final
virtual void	threadJoin (const UserObject &) final
virtual void	subdomainSetup () final

Protected Member Functions
virtual Real	alpha (Real delta, Real tau) const override
	Helmholtz free energy for H2 From Leachman et al (reference above) More...
virtual Real	dalpha_ddelta (Real delta, Real tau) const override
	Derivative of Helmholtz free energy wrt delta. More...
virtual Real	dalpha_dtau (Real delta, Real tau) const override
	Derivative of Helmholtz free energy wrt tau. More...
virtual Real	d2alpha_ddelta2 (Real delta, Real tau) const override
	Second derivative of Helmholtz free energy wrt delta. More...
virtual Real	d2alpha_dtau2 (Real delta, Real tau) const override
	Second derivative of Helmholtz free energy wrt tau. More...
virtual Real	d2alpha_ddeltatau (Real delta, Real tau) const override
	Second derivative of Helmholtz free energy wrt delta and tau. More...
virtual Real	henryConstantIAPWS (Real temperature, Real A, Real B, Real C) const
	IAPWS formulation of Henry's law constant for dissolution in water From Guidelines on the Henry's constant and vapour liquid distribution constant for gases in H20 and D20 at high temperatures, IAPWS (2004) More...
virtual void	henryConstantIAPWS (Real temperature, Real &Kh, Real &dKh_dT, Real A, Real B, Real C) const
virtual void	henryConstantIAPWS_dT (Real temperature, Real &Kh, Real &dKh_dT, Real A, Real B, Real C) const

Protected Attributes
const Real	_Mh2
	Hydrogen molar mass (kg/mol) More...
const Real	_p_critical
	Critical pressure (Pa) More...
const Real	_T_critical
	Critical temperature (K) More...
const Real	_rho_molar_critical
	Critical molar density (mol/l) More...
const Real	_rho_critical
	Critical density (kg/m^3) More...
const Real	_p_triple
	Triple point pressure (Pa) More...
const Real	_T_triple
	Triple point temperature (K) More...
const std::array< Real, 5 >	_a {{1.616, -0.4117, -0.792, 0.758, 1.217}}
	Coefficients for ideal gas component of the Helmholtz free energy. More...
const std::array< Real, 5 >	_b
const std::array< Real, 7 >	_N1 {{-6.93643, 0.01, 2.1101, 4.52059, 0.732564, -1.34086, 0.130985}}
	Coefficients for residual component of the Helmholtz free energy. More...
const std::array< Real, 7 >	_t1 {{0.6844, 1.0, 0.989, 0.489, 0.803, 1.1444, 1.409}}
const std::array< unsigned int, 7 >	_d1 {{1, 4, 1, 1, 2, 2, 3}}
const std::array< Real, 2 >	_N2 {{-0.777414, 0.351944}}
const std::array< Real, 2 >	_t2 {{1.754, 1.311}}
const std::array< unsigned int, 2 >	_d2 {{1, 3}}
const std::array< Real, 5 >	_N3 {{-0.0211716, 0.0226312, 0.032187, -0.0231752, 0.0557346}}
const std::array< Real, 5 >	_t3 {{4.187, 5.646, 0.791, 7.249, 2.986}}
const std::array< unsigned int, 5 >	_d3 {{2, 1, 3, 1, 1}}
const std::array< Real, 5 >	_phi3 {{-1.685, -0.489, -0.103, -2.506, -1.607}}
const std::array< Real, 5 >	_beta3 {{-0.171, -0.2245, -0.1304, -0.2785, -0.3967}}
const std::array< Real, 5 >	_gamma3 {{0.7164, 1.3444, 1.4517, 0.7204, 1.5445}}
const std::array< Real, 5 >	_D3 {{1.506, 0.156, 1.736, 0.67, 1.662}}
const std::array< Real, 5 >	_amu {{2.09630e-1, -4.55274e-1, 1.423602e-1, -3.35325e-2, 2.76981e-3}}
	Coefficients for viscosity. More...
const std::array< Real, 7 >	_bmu {{-0.187, 2.4871, 3.7151, -11.0972, 9.0965, -3.8292, 0.5166}}
const std::array< Real, 6 >	_cmu
const std::array< Real, 7 >	_a1k
	Coefficients for thermal conductivity. More...
const std::array< Real, 4 >	_a2k {{1.38497e2, -2.21878e1, 4.57151, 1.0}}
const std::array< Real, 5 >	_b1k {{3.63081e-2, -2.07629e-2, 3.1481e-2, -1.43097e-2, 1.7498e-3}}
const std::array< Real, 5 >	_b2k {{1.8337e-3, -8.86716e-3, 1.5826e-2, -1.06283e-2, 2.80673e-3}}
const Real	_R
	Universal gas constant (J/mol/K) More...
const Real	_T_c2k
	Conversion of temperature from Celsius to Kelvin. More...

Detailed Description

Hydrogen (H2) fluid properties as a function of pressure (Pa) and temperature (K).

Thermodynamic properties calculated from: Leachman, Jacobsen, Penoncello,and Lemmon, Fundamental equations of state for parahydrogen, normal hydrogen, and orthohydrogen, Journal of Physical and Chemical Reference Data, 38, 721–748 (2009)

Viscosity from: Muzny, Huber and Kazakov, Correlation for the viscosity of normal hydrogen obtained from symbolic regression, Journal of Chemical and Engineering Data, 58, 969-979 (2013)

Thermal conductivity from: Assael, Assael, Huber, Perkins and Takata, Correlation of the thermal conductivity of normal and parahydrogen from the triple point to 1000 K and up to 100 Mpa, Journal of Physical and Chemical Reference Data, 40 (2011)

Definition at line 40 of file HydrogenFluidProperties.h.

Constructor & Destructor Documentation

HydrogenFluidProperties()

HydrogenFluidProperties::HydrogenFluidProperties

(

const InputParameters &

parameters

)

Definition at line 26 of file HydrogenFluidProperties.C.

  : HelmholtzFluidProperties(parameters),
    _Mh2(2.01588e-3),
    _p_critical(1.315e6),
    _T_critical(33.19),
    _rho_molar_critical(15.508),
    _rho_critical(1000.0 * _rho_molar_critical * _Mh2),
    _p_triple(7.7e3),
    _T_triple(13.952)
{
}

Member Function Documentation

alpha()

Real HydrogenFluidProperties::alpha ( Real  delta, Real  tau  ) const

overrideprotectedvirtual

Helmholtz free energy for H2 From Leachman et al (reference above)

Parameters

delta	scaled density (-)
tau	scaled temperature (-)

Returns

alpha Helmholtz free energy

Implements HelmholtzFluidProperties.

Definition at line 306 of file HydrogenFluidProperties.C.

{
  // Ideal gas component of the Helmholtz free energy
  Real alpha0 = std::log(delta) + 1.5 * std::log(tau) - 1.4579856475 + 1.888076782 * tau;

  for (std::size_t i = 0; i < _a.size(); ++i)
    alpha0 += _a[i] * std::log(1.0 - std::exp(_b[i] * tau));

  // Residual component of the Helmholtz free energy
  Real alphar = 0.0;

  for (std::size_t i = 0; i < _t1.size(); ++i)
    alphar += _N1[i] * MathUtils::pow(delta, _d1[i]) * std::pow(tau, _t1[i]);

  for (std::size_t i = 0; i < _t2.size(); ++i)
    alphar += _N2[i] * MathUtils::pow(delta, _d2[i]) * std::pow(tau, _t2[i]) * std::exp(-delta);

  for (std::size_t i = 0; i < _t3.size(); ++i)
    alphar += _N3[i] * MathUtils::pow(delta, _d3[i]) * std::pow(tau, _t3[i]) *
              std::exp(_phi3[i] * Utility::pow<2>(delta - _D3[i]) +
                       _beta3[i] * Utility::pow<2>(tau - _gamma3[i]));

  // The Helmholtz free energy is the sum of these two
  return alpha0 + alphar;
}

beta()

Real SinglePhaseFluidProperties::beta ( Real  pressure, Real  temperature  ) const

virtualinherited

Definition at line 268 of file SinglePhaseFluidProperties.C.

Referenced by SimpleFluidProperties::beta_from_p_T(), and Water97FluidProperties::vaporTemperature().

{
  return beta_from_p_T(p, T);
}

beta_from_p_T() [1/2]

Real SinglePhaseFluidProperties::beta_from_p_T ( Real  p, Real  T  ) const

virtualinherited

Thermal expansion coefficient from pressure and temperature.

Parameters

[in]	p	pressure (Pa)
[in]	T	temperature (K)

Returns

beta (1/K)

Reimplemented in SimpleFluidProperties.

Definition at line 177 of file SinglePhaseFluidProperties.C.

Referenced by SinglePhaseFluidProperties::beta().

{
  // The volumetric thermal expansion coefficient is defined as
  //   1/v dv/dT)_p
  // It is the fractional change rate of volume with respect to temperature change
  // at constant pressure. Here it is coded as
  //   - 1/rho drho/dT)_p
  // using chain rule with v = v(rho)

  Real rho, drho_dp, drho_dT;
  rho_from_p_T(p, T, rho, drho_dp, drho_dT);
  return -drho_dT / rho;
}

beta_from_p_T() [2/2]

void SinglePhaseFluidProperties::beta_from_p_T ( Real  p, Real  T, Real &  beta, Real &  dbeta_dp, Real &  dbeta_dT  ) const

virtualinherited

Thermal expansion coefficient and its derivatives from pressure and temperature.

Parameters

[in]	p	pressure (Pa)
[in]	T	temperature (K)
[out]	beta	beta (1/K)
[out]	dbeta_dp	derivative of the thermal expansion coefficient w.r.t. pressure
[out]	dbeta_dT	derivative of the thermal expansion coefficient w.r.t. temperature

Reimplemented in SimpleFluidProperties.

Definition at line 192 of file SinglePhaseFluidProperties.C.

{
  mooseError(name(), ": ", __PRETTY_FUNCTION__, " not implemented.");
}

c()

Real SinglePhaseFluidProperties::c ( Real  pressure, Real  temperature  ) const

virtualinherited

Definition at line 465 of file SinglePhaseFluidProperties.C.

Referenced by IdealGasFluidProperties::c_from_v_e(), StiffenedGasFluidProperties::c_from_v_e(), Water97FluidProperties::densityRegion3(), Water97FluidProperties::subregionVolume(), and Water97FluidProperties::vaporPressure().

{
  mooseDeprecated(name(), ": c() is deprecated. Use c_from_p_T() instead");

  return c_from_p_T(p, T);
}

c_from_p_T()

Real HelmholtzFluidProperties::c_from_p_T ( Real  pressure, Real  temperature  ) const

overridevirtualinherited

Speed of sound.

Parameters

pressure	fluid pressure (Pa)
temperature	fluid temperature (K)

Returns

speed of sound (m/s)

Reimplemented from SinglePhaseFluidProperties.

Definition at line 100 of file HelmholtzFluidProperties.C.

{
  // Require density first
  const Real density = rho_from_p_T(pressure, temperature);
  // Scale the input density and temperature
  const Real delta = density / criticalDensity();
  const Real tau = criticalTemperature() / temperature;

  const Real da_dd = dalpha_ddelta(delta, tau);

  Real w = 2.0 * delta * da_dd + delta * delta * d2alpha_ddelta2(delta, tau);
  w -= Utility::pow<2>(delta * da_dd - delta * tau * d2alpha_ddeltatau(delta, tau)) /
       (tau * tau * d2alpha_dtau2(delta, tau));

  return std::sqrt(_R * temperature * w / molarMass());
}

c_from_v_e() [1/2]

Real SinglePhaseFluidProperties::c_from_v_e ( Real  v, Real  e  ) const

virtualinherited

Sound speed from specific volume and specific internal energy.

Parameters

[in]	v	specific volume
[in]	e	specific internal energy

Reimplemented in IdealGasFluidProperties, and StiffenedGasFluidProperties.

Definition at line 50 of file SinglePhaseFluidProperties.C.

Referenced by FluidPropertiesMaterial::computeQpProperties(), and NSMachAux::computeValue().

{
  mooseError(name(), ": ", __PRETTY_FUNCTION__, " not implemented.");
}

c_from_v_e() [2/2]

void SinglePhaseFluidProperties::c_from_v_e ( Real  v, Real  e, Real &  c, Real &  dc_dv, Real &  dc_de  ) const

virtualinherited

Sound speed and its derivatives from specific volume and specific internal energy.

Parameters

[in]	v	specific volume
[in]	e	specific internal energy
[out]	dc_dv	derivative of sound speed w.r.t. specific volume
[out]	dc_de	derivative of sound speed w.r.t. specific internal energy

Reimplemented in IdealGasFluidProperties, and StiffenedGasFluidProperties.

Definition at line 56 of file SinglePhaseFluidProperties.C.

{
  mooseError(name(), ": ", __PRETTY_FUNCTION__, " not implemented.");
}

cp_from_p_T() [1/4]

Real HelmholtzFluidProperties::cp_from_p_T ( Real  pressure, Real  temperature  ) const

overridevirtualinherited

Isobaric specific heat capacity.

Parameters

pressure	fluid pressure (Pa)
temperature	fluid temperature (K)

Returns

cp (J/kg/K)

Reimplemented from SinglePhaseFluidProperties.

Definition at line 118 of file HelmholtzFluidProperties.C.

{
  // Require density first
  const Real density = rho_from_p_T(pressure, temperature);
  // Scale the input density and temperature
  const Real delta = density / criticalDensity();
  const Real tau = criticalTemperature() / temperature;

  const Real da_dd = dalpha_ddelta(delta, tau);

  const Real cp = _R *
                  (-tau * tau * d2alpha_dtau2(delta, tau) +
                   Utility::pow<2>(delta * da_dd - delta * tau * d2alpha_ddeltatau(delta, tau)) /
                       (2.0 * delta * da_dd + delta * delta * d2alpha_ddelta2(delta, tau))) /
                  molarMass();

  return cp;
}

cp_from_p_T() [2/4]

Real SinglePhaseFluidProperties::cp_from_p_T

inherited

Isobaric specific heat capacity.

Parameters

pressure	fluid pressure (Pa)
temperature	fluid temperature (K)

Returns

cp (J/kg/K)

Definition at line 472 of file SinglePhaseFluidProperties.C.

{
  mooseError(name(), ": ", __PRETTY_FUNCTION__, " not implemented.");
}

cp_from_p_T() [3/4]

void SinglePhaseFluidProperties::cp_from_p_T

inherited

Isobaric specific heat capacity from pressure and temperature.

Parameters

[in]	pressure	fluid pressure (Pa)
[in]	temperature	fluid temperature (K)
[out]	cp	isobaric specific heat (J/kg/K)
[out]	dcp_dp	derivative of isobaric specific heat w.r.t. pressure (J/kg/K/Pa)
[out]	dcp_dT	derivative of isobaric specific heat w.r.t. temperature (J/kg/K/K)

Definition at line 478 of file SinglePhaseFluidProperties.C.

{
  mooseError(name(), ": ", __PRETTY_FUNCTION__, " not implemented.");
}

cp_from_p_T() [4/4]

void SinglePhaseFluidProperties::cp_from_p_T ( Real  pressure, Real  temperature, Real &  cp, Real &  dcp_dp, Real &  dcp_dT  ) const

virtualinherited

Isobaric specific heat capacity from pressure and temperature.

Parameters

[in]	pressure	fluid pressure (Pa)
[in]	temperature	fluid temperature (K)
[out]	cp	isobaric specific heat (J/kg/K)
[out]	dcp_dp	derivative of isobaric specific heat w.r.t. pressure (J/kg/K/Pa)
[out]	dcp_dT	derivative of isobaric specific heat w.r.t. temperature (J/kg/K/K)

Reimplemented in StiffenedGasFluidProperties, IdealGasFluidProperties, and SimpleFluidProperties.

Definition at line 478 of file SinglePhaseFluidProperties.C.

{
  mooseError(name(), ": ", __PRETTY_FUNCTION__, " not implemented.");
}

cp_from_v_e() [1/2]

Real SinglePhaseFluidProperties::cp_from_v_e ( Real  v, Real  e  ) const

virtualinherited

Isobaric (constant-pressure) specific heat from specific volume and specific internal energy.

Parameters

[in]	v	specific volume
[in]	e	specific internal energy

Reimplemented in IdealGasFluidProperties, and StiffenedGasFluidProperties.

Definition at line 61 of file SinglePhaseFluidProperties.C.

Referenced by FluidPropertiesMaterial::computeQpProperties(), and GeneralVaporMixtureFluidProperties::cp_from_p_T().

{
  mooseError(name(), ": ", __PRETTY_FUNCTION__, " not implemented.");
}

cp_from_v_e() [2/2]

void SinglePhaseFluidProperties::cp_from_v_e ( Real  v, Real  e, Real &  cp, Real &  dcp_dv, Real &  dcp_de  ) const

virtualinherited

Isobaric (constant pressure) specific heat from specific volume and specific internal energy.

Parameters

[in]	v	specific volume (m$^3$/kg)
[in]	e	specific internal energy (J/kg)
[out]	cp	isobaric specific heat (J/kg/K)
[out]	dcp_dv	derivative of isobaric specific heat w.r.t. specific volume (J/K/m$^3$)
[out]	dcp_de	derivative of isobaric specific heat w.r.t. specific inernal energy (1/K)

Reimplemented in IdealGasFluidProperties, and StiffenedGasFluidProperties.

Definition at line 67 of file SinglePhaseFluidProperties.C.

{
  mooseError(name(), ": ", __PRETTY_FUNCTION__, " not implemented.");
}

criticalDensity()

Real HydrogenFluidProperties::criticalDensity ( ) const

overridevirtual

Critical density.

Returns

critical density (kg/m^3)

Reimplemented from SinglePhaseFluidProperties.

Definition at line 63 of file HydrogenFluidProperties.C.

{
  return _rho_critical;
}

criticalInternalEnergy()

Real SinglePhaseFluidProperties::criticalInternalEnergy ( ) const

virtualinherited

Critical specific internal energy.

Returns

specific internal energy (J/kg)

Reimplemented in StiffenedGasFluidProperties.

Definition at line 244 of file SinglePhaseFluidProperties.C.

Referenced by IdealRealGasMixtureFluidProperties::p_T_from_v_e().

{
  mooseError(name(), ": criticalInternalEnergy() is not implemented");
}

criticalPressure()

Real HydrogenFluidProperties::criticalPressure ( ) const

overridevirtual

Critical pressure.

Returns

critical pressure (Pa)

Reimplemented from SinglePhaseFluidProperties.

Definition at line 51 of file HydrogenFluidProperties.C.

{
  return _p_critical;
}

criticalTemperature()

Real HydrogenFluidProperties::criticalTemperature ( ) const

overridevirtual

Critical temperature.

Returns

critical temperature (K)

Reimplemented from SinglePhaseFluidProperties.

Definition at line 57 of file HydrogenFluidProperties.C.

{
  return _T_critical;
}

cv_from_p_T()

Real HelmholtzFluidProperties::cv_from_p_T ( Real  pressure, Real  temperature  ) const

overridevirtualinherited

Isochoric specific heat.

Parameters

pressure	fluid pressure (Pa)
temperature	fluid temperature (K)

Returns

cv (J/kg/K)

Reimplemented from SinglePhaseFluidProperties.

Definition at line 138 of file HelmholtzFluidProperties.C.

{
  // Require density first
  const Real density = rho_from_p_T(pressure, temperature);
  // Scale the input density and temperature
  const Real delta = density / criticalDensity();
  const Real tau = criticalTemperature() / temperature;

  return -_R * tau * tau * d2alpha_dtau2(delta, tau) / molarMass();
}

cv_from_T_v()

Real SinglePhaseFluidProperties::cv_from_T_v ( Real  T, Real  v  ) const

virtualinherited

Specific isochoric heat capacity from temperature and specific volume.

Parameters

[in]	T	temperature
[in]	v	specific volume

Reimplemented in IdealGasFluidProperties, and StiffenedGasFluidProperties.

Definition at line 695 of file SinglePhaseFluidProperties.C.

Referenced by IdealRealGasMixtureFluidProperties::cv_from_p_T(), and IdealRealGasMixtureFluidProperties::cv_from_T_v().

{
  mooseError(name(), ": ", __PRETTY_FUNCTION__, " not implemented.");
}

cv_from_v_e()

Real SinglePhaseFluidProperties::cv_from_v_e ( Real  v, Real  e  ) const

virtualinherited

Isochoric (constant-volume) specific heat from specific volume and specific internal energy.

Parameters

[in]	v	specific volume
[in]	e	specific internal energy

Reimplemented in IdealGasFluidProperties, and StiffenedGasFluidProperties.

Definition at line 72 of file SinglePhaseFluidProperties.C.

Referenced by FluidPropertiesMaterial::computeQpProperties(), and GeneralVaporMixtureFluidProperties::cv_from_p_T().

{
  mooseError(name(), ": ", __PRETTY_FUNCTION__, " not implemented.");
}

d2alpha_ddelta2()

Real HydrogenFluidProperties::d2alpha_ddelta2 ( Real  delta, Real  tau  ) const

overrideprotectedvirtual

Second derivative of Helmholtz free energy wrt delta.

Parameters

delta	scaled density (-)
tau	scaled temperature (-)

Returns

second derivative of Helmholtz free energy wrt delta

Implements HelmholtzFluidProperties.

Definition at line 388 of file HydrogenFluidProperties.C.

{
  // Ideal gas component of the Helmholtz free energy
  Real dalpha0 = -1.0 / delta / delta;

  // Residual component of the Helmholtz free energy
  Real dalphar = 0.0;

  for (std::size_t i = 0; i < _t1.size(); ++i)
    dalphar +=
        _N1[i] * _d1[i] * (_d1[i] - 1.0) * MathUtils::pow(delta, _d1[i]) * std::pow(tau, _t1[i]);

  for (std::size_t i = 0; i < _t2.size(); ++i)
    dalphar += _N2[i] * MathUtils::pow(delta, _d2[i]) * std::pow(tau, _t2[i]) * std::exp(-delta) *
               (delta * delta - 2.0 * _d2[i] * delta + _d2[i] * (_d2[i] - 1.0));

  for (std::size_t i = 0; i < _t3.size(); ++i)
    dalphar += _N3[i] * MathUtils::pow(delta, _d3[i]) * std::pow(tau, _t3[i]) *
               std::exp(_phi3[i] * Utility::pow<2>(delta - _D3[i]) +
                        _beta3[i] * Utility::pow<2>(tau - _gamma3[i])) *
               (_d3[i] * _d3[i] +
                2.0 * delta * delta * _phi3[i] *
                    (1.0 + 2.0 * _phi3[i] * (_D3[i] - delta) * (_D3[i] - delta)) +
                _d3[i] * (4.0 * delta * _phi3[i] * (delta - _D3[i]) - 1.0));

  // The Helmholtz free energy is the sum of these two
  return dalpha0 + dalphar / delta / delta;
}

d2alpha_ddeltatau()

Real HydrogenFluidProperties::d2alpha_ddeltatau ( Real  delta, Real  tau  ) const

overrideprotectedvirtual

Second derivative of Helmholtz free energy wrt delta and tau.

Parameters

delta	scaled density (-)
tau	scaled temperature (-)

Returns

second derivative of Helmholtz free energy wrt delta and tau

Implements HelmholtzFluidProperties.

Definition at line 454 of file HydrogenFluidProperties.C.

{
  // Residual component of the Helmholtz free energy
  Real dalphar = 0.0;

  for (std::size_t i = 0; i < _t1.size(); ++i)
    dalphar += _N1[i] * _d1[i] * _t1[i] * std::pow(delta, _d1[i]) * std::pow(tau, _t1[i]);

  for (std::size_t i = 0; i < _t2.size(); ++i)
    dalphar += _N2[i] * _t2[i] * std::pow(delta, _d2[i]) * std::pow(tau, _t2[i]) *
               std::exp(-delta) * (_d2[i] - delta);

  for (std::size_t i = 0; i < _t3.size(); ++i)
    dalphar += _N3[i] * std::pow(delta, _d3[i]) * std::pow(tau, _t3[i]) *
               std::exp(_phi3[i] * Utility::pow<2>(delta - _D3[i]) +
                        _beta3[i] * Utility::pow<2>(tau - _gamma3[i])) *
               (_d3[i] + delta * (2.0 * _phi3[i] * (delta - _D3[i]))) *
               (_t3[i] + 2.0 * _beta3[i] * tau * (tau - _gamma3[i]));

  // The Helmholtz free energy is the sum of these two
  return dalphar / delta / tau;
}

d2alpha_dtau2()

Real HydrogenFluidProperties::d2alpha_dtau2 ( Real  delta, Real  tau  ) const

overrideprotectedvirtual

Second derivative of Helmholtz free energy wrt tau.

Parameters

delta	scaled density (-)
tau	scaled temperature (-)

Returns

second derivative of Helmholtz free energy wrt tau

Implements HelmholtzFluidProperties.

Definition at line 418 of file HydrogenFluidProperties.C.

{
  // Ideal gas component of the Helmholtz free energy
  Real dalpha0 = -1.5 / tau / tau;

  for (std::size_t i = 0; i < _a.size(); ++i)
  {
    Real exptau = std::exp(_b[i] * tau);
    dalpha0 -= _a[i] * (_b[i] * _b[i] * exptau / (1.0 - exptau) * (exptau / (1.0 - exptau) + 1.0));
  }

  // Residual component of the Helmholtz free energy
  Real dalphar = 0.0;

  for (std::size_t i = 0; i < _t1.size(); ++i)
    dalphar +=
        _N1[i] * _t1[i] * (_t1[i] - 1.0) * MathUtils::pow(delta, _d1[i]) * std::pow(tau, _t1[i]);

  for (std::size_t i = 0; i < _t2.size(); ++i)
    dalphar += _N2[i] * _t2[i] * (_t2[i] - 1.0) * MathUtils::pow(delta, _d2[i]) *
               std::pow(tau, _t2[i]) * std::exp(-delta);

  for (std::size_t i = 0; i < _t3.size(); ++i)
    dalphar += _N3[i] * MathUtils::pow(delta, _d3[i]) * std::pow(tau, _t3[i]) *
               std::exp(_phi3[i] * Utility::pow<2>(delta - _D3[i]) +
                        _beta3[i] * Utility::pow<2>(tau - _gamma3[i])) *
               (_t3[i] * _t3[i] +
                2.0 * _beta3[i] * tau * tau *
                    (1.0 + 2.0 * _beta3[i] * MathUtils::pow(tau - _gamma3[i], 2)) -
                _t3[i] * (1.0 + 4.0 * _beta3[i] * tau * (tau - _gamma3[i])));

  // The Helmholtz free energy is the sum of these two
  return dalpha0 + dalphar / tau / tau;
}

dalpha_ddelta()

Real HydrogenFluidProperties::dalpha_ddelta ( Real  delta, Real  tau  ) const

overrideprotectedvirtual

Derivative of Helmholtz free energy wrt delta.

Parameters

delta	scaled density (-)
tau	scaled temperature (-)

Returns

derivative of Helmholtz free energy wrt delta

Implements HelmholtzFluidProperties.

Definition at line 333 of file HydrogenFluidProperties.C.

{
  // Ideal gas component of the Helmholtz free energy
  Real dalpha0 = 1.0 / delta;

  // Residual component of the Helmholtz free energy
  Real dalphar = 0.0;

  for (std::size_t i = 0; i < _t1.size(); ++i)
    dalphar += _N1[i] * _d1[i] * MathUtils::pow(delta, _d1[i]) * std::pow(tau, _t1[i]);

  for (std::size_t i = 0; i < _t2.size(); ++i)
    dalphar += _N2[i] * MathUtils::pow(delta, _d2[i]) * std::pow(tau, _t2[i]) * std::exp(-delta) *
               (_d2[i] - delta);

  for (std::size_t i = 0; i < _t3.size(); ++i)
    dalphar += _N3[i] * MathUtils::pow(delta, _d3[i]) * std::pow(tau, _t3[i]) *
               std::exp(_phi3[i] * Utility::pow<2>(delta - _D3[i]) +
                        _beta3[i] * Utility::pow<2>(tau - _gamma3[i])) *
               (_d3[i] + delta * (2.0 * _phi3[i] * (delta - _D3[i])));

  // The Helmholtz free energy is the sum of these two
  return dalpha0 + dalphar / delta;
}

dalpha_dtau()

Real HydrogenFluidProperties::dalpha_dtau ( Real  delta, Real  tau  ) const

overrideprotectedvirtual

Derivative of Helmholtz free energy wrt tau.

Parameters

delta	scaled density (-)
tau	scaled temperature (-)

Returns

derivative of Helmholtz free energy wrt tau

Implements HelmholtzFluidProperties.

Definition at line 359 of file HydrogenFluidProperties.C.

{
  // Ideal gas component of the Helmholtz free energy
  Real dalpha0 = 1.5 / tau + 1.888076782;

  for (std::size_t i = 0; i < _a.size(); ++i)
    dalpha0 += _a[i] * _b[i] * (1.0 - 1.0 / (1.0 - std::exp(_b[i] * tau)));

  // Residual component of the Helmholtz free energy
  Real dalphar = 0.0;

  for (std::size_t i = 0; i < _t1.size(); ++i)
    dalphar += _N1[i] * _t1[i] * MathUtils::pow(delta, _d1[i]) * std::pow(tau, _t1[i]);

  for (std::size_t i = 0; i < _t2.size(); ++i)
    dalphar +=
        _N2[i] * _t2[i] * MathUtils::pow(delta, _d2[i]) * std::pow(tau, _t2[i]) * std::exp(-delta);

  for (std::size_t i = 0; i < _t3.size(); ++i)
    dalphar += _N3[i] * MathUtils::pow(delta, _d3[i]) * std::pow(tau, _t3[i]) *
               std::exp(_phi3[i] * Utility::pow<2>(delta - _D3[i]) +
                        _beta3[i] * Utility::pow<2>(tau - _gamma3[i])) *
               (_t3[i] + tau * (2.0 * _beta3[i] * (tau - _gamma3[i])));

  // The Helmholtz free energy is the sum of these two
  return dalpha0 + dalphar / tau;
}

e()

Real SinglePhaseFluidProperties::e ( Real  pressure, Real  temperature  ) const

virtualinherited

Definition at line 415 of file SinglePhaseFluidProperties.C.

Referenced by Water97FluidProperties::b2bc(), IdealGasFluidProperties::c_from_v_e(), StiffenedGasFluidProperties::c_from_v_e(), NaClFluidProperties::cp_from_p_T(), IdealGasFluidProperties::cp_from_v_e(), StiffenedGasFluidProperties::cp_from_v_e(), Water97FluidProperties::densityRegion3(), SinglePhaseFluidProperties::e_dpT(), StiffenedGasFluidProperties::e_from_p_rho(), IdealGasFluidProperties::e_from_p_rho(), HelmholtzFluidProperties::e_from_p_T(), IdealGasFluidPropertiesPT::e_from_p_T(), Water97FluidProperties::e_from_p_T(), NaClFluidProperties::e_from_p_T(), IdealGasFluidProperties::e_from_p_T(), StiffenedGasFluidProperties::e_from_p_T(), SimpleFluidProperties::e_from_p_T(), TabulatedFluidProperties::e_from_p_T(), SinglePhaseFluidProperties::e_from_p_T(), StiffenedGasFluidProperties::e_from_T_v(), IdealGasFluidProperties::e_from_T_v(), IdealGasFluidProperties::e_from_v_h(), StiffenedGasFluidProperties::e_from_v_h(), IdealGasFluidProperties::g_from_v_e(), StiffenedGasFluidProperties::g_from_v_e(), IdealGasFluidProperties::h_from_p_T(), NaClFluidProperties::h_from_p_T(), NitrogenFluidProperties::mu_from_rho_T(), mu_from_rho_T(), CO2FluidProperties::mu_from_rho_T(), StiffenedGasFluidProperties::p_from_T_v(), IdealGasFluidProperties::p_from_v_e(), StiffenedGasFluidProperties::p_from_v_e(), IdealGasFluidPropertiesPT::rho_e_dpT(), SinglePhaseFluidProperties::rho_e_dpT(), SinglePhaseFluidProperties::rho_e_from_p_T(), StiffenedGasFluidProperties::s_from_T_v(), IdealGasFluidProperties::s_from_v_e(), StiffenedGasFluidProperties::s_from_v_e(), Water97FluidProperties::subregion3(), Water97FluidProperties::subregionVolume(), SinglePhaseFluidProperties::T_from_p_h(), IdealGasFluidProperties::T_from_v_e(), StiffenedGasFluidProperties::T_from_v_e(), StiffenedGasFluidProperties::v_e_spndl_from_T(), and Water97FluidProperties::vaporTemperature().

{
  mooseDeprecated(name(), ": e() is deprecated. Use e_from_p_T() instead");

  return e_from_p_T(p, T);
}

e_dpT()

void SinglePhaseFluidProperties::e_dpT ( Real  pressure, Real  temperature, Real &  e, Real &  de_dp, Real &  de_dT  ) const

virtualinherited

Definition at line 423 of file SinglePhaseFluidProperties.C.

{
  mooseDeprecated(name(), ": e_dpT() is deprecated. Use e_from_p_T() instead");

  e_from_p_T(p, T, e, de_dp, de_dT);
}

e_from_p_rho() [1/2]

Real SinglePhaseFluidProperties::e_from_p_rho ( Real  p, Real  rho  ) const

virtualinherited

Specific internal energy from pressure and density.

Parameters

[in]	p	pressure
[in]	rho	density

Reimplemented in IdealGasFluidProperties, and StiffenedGasFluidProperties.

Definition at line 629 of file SinglePhaseFluidProperties.C.

Referenced by StagnationTemperatureAux::computeValue(), InternalEnergyAux::computeValue(), and SinglePhaseFluidProperties::e_from_p_T().

{
  mooseError(name(), ": ", __PRETTY_FUNCTION__, " not implemented.");
}

e_from_p_rho() [2/2]

void SinglePhaseFluidProperties::e_from_p_rho ( Real  p, Real  rho, Real &  e, Real &  de_dp, Real &  de_drho  ) const

virtualinherited

Specific internal energy and its derivatives from pressure and density.

Parameters

[in]	p	pressure
[in]	rho	density
[out]	e	specific internal energy
[out]	de_dp	derivative of specific internal energy w.r.t. pressure
[out]	de_drho	derivative of specific internal energy w.r.t. density

Reimplemented in IdealGasFluidProperties, and StiffenedGasFluidProperties.

Definition at line 635 of file SinglePhaseFluidProperties.C.

{
  mooseError(name(), ": ", __PRETTY_FUNCTION__, " not implemented.");
}

e_from_p_T() [1/2]

Real HelmholtzFluidProperties::e_from_p_T ( Real  p, Real  T  ) const

overridevirtualinherited

Internal energy from pressure and temperature.

Parameters

[in]	p	pressure (Pa)
[in]	T	temperature (K)

Returns

internal energy (J/kg)

Reimplemented from SinglePhaseFluidProperties.

Definition at line 65 of file HelmholtzFluidProperties.C.

Referenced by HelmholtzFluidProperties::e_from_p_T().

{
  // Require density first
  const Real density = rho_from_p_T(pressure, temperature);
  // Scale the input density and temperature
  const Real delta = density / criticalDensity();
  const Real tau = criticalTemperature() / temperature;

  return _R * temperature * tau * dalpha_dtau(delta, tau) / molarMass();
}

e_from_p_T() [2/2]

void HelmholtzFluidProperties::e_from_p_T ( Real  p, Real  T, Real &  e, Real &  de_dp, Real &  de_dT  ) const

overridevirtualinherited

Internal energy and its derivatives from pressure and temperature.

Parameters

[in]	p	pressure (Pa)
[in]	T	temperature (K)
[out]	e	internal energy (J/kg)
[out]	de_dp	derivative of internal energy w.r.t. pressure
[out]	de_dT	derivative of internal energy w.r.t. temperature

Reimplemented from SinglePhaseFluidProperties.

Definition at line 77 of file HelmholtzFluidProperties.C.

{
  e = this->e_from_p_T(pressure, temperature);

  // Require density first
  const Real density = rho_from_p_T(pressure, temperature);
  // Scale the input density and temperature
  const Real delta = density / criticalDensity();
  const Real tau = criticalTemperature() / temperature;

  const Real da_dd = dalpha_ddelta(delta, tau);
  const Real d2a_dd2 = d2alpha_ddelta2(delta, tau);
  const Real d2a_ddt = d2alpha_ddeltatau(delta, tau);

  de_dp = tau * d2a_ddt / (density * (2.0 * da_dd + delta * d2a_dd2));
  de_dT = -_R *
          (delta * tau * d2a_ddt * (da_dd - tau * d2a_ddt) / (2.0 * da_dd + delta * d2a_dd2) +
           tau * tau * d2alpha_dtau2(delta, tau)) /
          molarMass();
}

e_from_T_v() [1/2]

Real SinglePhaseFluidProperties::e_from_T_v ( Real  T, Real  v  ) const

virtualinherited

Specific volume and specific internal energy from temerature at the vapor spinodal.

Parameters

[in]

T

temerature

Reimplemented in IdealGasFluidProperties, and StiffenedGasFluidProperties.

Definition at line 640 of file SinglePhaseFluidProperties.C.

Referenced by IdealRealGasMixtureFluidProperties::e_from_T_v(), IdealRealGasMixtureFluidProperties::k_from_p_T(), IdealRealGasMixtureFluidProperties::k_from_T_v(), IdealRealGasMixtureFluidProperties::mu_from_p_T(), and IdealRealGasMixtureFluidProperties::mu_from_T_v().

{
  mooseError(name(), ": ", __PRETTY_FUNCTION__, " not implemented.");
}

e_from_T_v() [2/2]

void SinglePhaseFluidProperties::e_from_T_v ( Real  T, Real  v, Real &  e, Real &  de_dT, Real &  de_dv  ) const

virtualinherited

Specific internal energy and its derivatives from temperature and specific volume.

Parameters

[in]	T	temperature
[in]	v	specific volume
[out]	e	specific internal energy (J/kg)
[out]	de_dT	derivative of specific internal energy w.r.t. temperature
[out]	de_dv	derivative of specific internal energy w.r.t. specific volume

Reimplemented in IdealGasFluidProperties, and StiffenedGasFluidProperties.

Definition at line 657 of file SinglePhaseFluidProperties.C.

{
  mooseError(name(), ": ", __PRETTY_FUNCTION__, " not implemented.");
}

e_from_v_h() [1/2]

Real SinglePhaseFluidProperties::e_from_v_h ( Real  v, Real  h  ) const

virtualinherited

Specific internal energy as a function of specific volume and specific enthalpy.

Parameters

[in]	v	specific volume
[in]	h	specific enthalpy

Reimplemented in StiffenedGasFluidProperties, and IdealGasFluidProperties.

Definition at line 120 of file SinglePhaseFluidProperties.C.

Referenced by SinglePhaseFluidProperties::T_from_p_h().

{
  mooseError(name(), ": ", __PRETTY_FUNCTION__, " not implemented.");
}

e_from_v_h() [2/2]

void SinglePhaseFluidProperties::e_from_v_h ( Real  v, Real  h, Real &  e, Real &  de_dv, Real &  de_dh  ) const

virtualinherited

Specific internal energy and derivatives as a function of specific volume and specific enthalpy.

Parameters

[in]	v	specific volume
[in]	h	specific enthalpy
[out]	de_dv	derivative of specific internal energy w.r.t. specific volume
[out]	de_dh	derivative of specific internal energy w.r.t. specific enthalpy

Reimplemented in StiffenedGasFluidProperties, and IdealGasFluidProperties.

Definition at line 126 of file SinglePhaseFluidProperties.C.

{
  mooseError(name(), ": ", __PRETTY_FUNCTION__, " not implemented.");
}

e_spndl_from_v()

Real SinglePhaseFluidProperties::e_spndl_from_v ( Real  v ) const

virtualinherited

Specific internal energy from temperature and specific volume.

Parameters

[in]	T	temperature
[in]	v	specific volume

Reimplemented in StiffenedGasFluidProperties.

Definition at line 645 of file SinglePhaseFluidProperties.C.

Referenced by IdealRealGasMixtureFluidProperties::p_T_from_v_e().

{
  mooseError(name(), ": ", __PRETTY_FUNCTION__, " not implemented.");
}

execute()

virtual void FluidProperties::execute ( )

inlinefinalvirtualinherited

Definition at line 27 of file FluidProperties.h.

{}

finalize()

virtual void FluidProperties::finalize ( )

inlinefinalvirtualinherited

Definition at line 29 of file FluidProperties.h.

{}

fluidName()

std::string HydrogenFluidProperties::fluidName ( ) const

overridevirtual

Fluid name.

Returns

string representing fluid name

Reimplemented from SinglePhaseFluidProperties.

Definition at line 39 of file HydrogenFluidProperties.C.

{
  return "hydrogen";
}

g_from_v_e()

Real SinglePhaseFluidProperties::g_from_v_e ( Real  v, Real  e  ) const

virtualinherited

Gibbs free energy from specific volume and specific internal energy.

Parameters

[in]	v	specific volume
[in]	e	specific internal energy

Reimplemented in StiffenedGasFluidProperties, and IdealGasFluidProperties.

Definition at line 722 of file SinglePhaseFluidProperties.C.

Referenced by FluidPropertiesMaterial::computeQpProperties().

{
  mooseError(name(), ": ", __PRETTY_FUNCTION__, " not implemented.");
}

gamma_from_p_T()

Real SinglePhaseFluidProperties::gamma_from_p_T ( Real  pressure, Real  temperature  ) const

virtualinherited

Adiabatic index - ratio of specific heats.

Parameters

pressure	fluid pressure (Pa)
temperature	fluid temperature (K)

Returns

gamma (-)

Definition at line 262 of file SinglePhaseFluidProperties.C.

{
  return cp_from_p_T(p, T) / cv_from_p_T(p, T);
}

h()

Real SinglePhaseFluidProperties::h ( Real  p, Real  T  ) const

virtualinherited

Definition at line 595 of file SinglePhaseFluidProperties.C.

Referenced by NaClFluidProperties::e_from_p_T(), IdealGasFluidProperties::e_from_v_h(), StiffenedGasFluidProperties::e_from_v_h(), SinglePhaseFluidProperties::h_dpT(), HelmholtzFluidProperties::h_from_p_T(), IdealGasFluidProperties::h_from_p_T(), StiffenedGasFluidProperties::h_from_p_T(), NaClFluidProperties::h_from_p_T(), IdealGasFluidPropertiesPT::h_from_p_T(), SimpleFluidProperties::h_from_p_T(), TabulatedFluidProperties::h_from_p_T(), Water97FluidProperties::h_from_p_T(), StiffenedGasFluidProperties::h_from_T_v(), IdealGasFluidProperties::h_from_T_v(), IdealGasFluidProperties::p_from_h_s(), StiffenedGasFluidProperties::p_from_h_s(), StiffenedGasFluidProperties::s_from_h_p(), IdealGasFluidProperties::s_from_h_p(), IdealGasFluidProperties::T_from_p_h(), and SinglePhaseFluidProperties::T_from_p_h().

{
  mooseDeprecated(name(), ": h() is deprecated. Use h_from_p_T() instead");

  return h_from_p_T(p, T);
}

h_dpT()

void SinglePhaseFluidProperties::h_dpT ( Real  pressure, Real  temperature, Real &  h, Real &  dh_dp, Real &  dh_dT  ) const

virtualinherited

Definition at line 603 of file SinglePhaseFluidProperties.C.

{
  mooseDeprecated(name(), ": h_dpT() is deprecated. Use h_from_p_T() instead");

  h_from_p_T(p, T, h, dh_dp, dh_dT);
}

h_from_p_T() [1/2]

Real HelmholtzFluidProperties::h_from_p_T ( Real  p, Real  T  ) const

overridevirtualinherited

Specific enthalpy from pressure and temperature.

Parameters

[in]	p	pressure (Pa)
[in]	T	temperature (K)

Returns

h (J/kg)

Reimplemented from SinglePhaseFluidProperties.

Definition at line 185 of file HelmholtzFluidProperties.C.

Referenced by HelmholtzFluidProperties::h_from_p_T().

{
  // Require density first
  const Real density = rho_from_p_T(pressure, temperature);
  // Scale the input density and temperature
  const Real delta = density / criticalDensity();
  const Real tau = criticalTemperature() / temperature;

  return _R * temperature * (tau * dalpha_dtau(delta, tau) + delta * dalpha_ddelta(delta, tau)) /
         molarMass();
}

h_from_p_T() [2/2]

void HelmholtzFluidProperties::h_from_p_T ( Real  p, Real  T, Real &  h, Real &  dh_dp, Real &  dh_dT  ) const

overridevirtualinherited

Specific enthalpy and its derivatives from pressure and temperature.

Parameters

[in]	p	pressure (Pa)
[in]	T	temperature (K)
[out]	h	specific enthalpy (J/kg)
[out]	dh_dp	derivative of specific enthalpy w.r.t. pressure
[out]	dh_dT	derivative of specific enthalpy w.r.t. temperature

Reimplemented from SinglePhaseFluidProperties.

Definition at line 198 of file HelmholtzFluidProperties.C.

{
  h = this->h_from_p_T(pressure, temperature);

  // Require density first
  const Real density = rho_from_p_T(pressure, temperature);
  // Scale the input density and temperature
  const Real delta = density / criticalDensity();
  const Real tau = criticalTemperature() / temperature;

  const Real da_dd = dalpha_ddelta(delta, tau);
  const Real d2a_dd2 = d2alpha_ddelta2(delta, tau);
  const Real d2a_ddt = d2alpha_ddeltatau(delta, tau);

  dh_dp = (da_dd + delta * d2a_dd2 + tau * d2a_ddt) / (density * (2.0 * da_dd + delta * d2a_dd2));
  dh_dT = _R *
          (delta * da_dd * (1.0 - tau * d2a_ddt / da_dd) * (1.0 - tau * d2a_ddt / da_dd) /
               (2.0 + delta * d2a_dd2 / da_dd) -
           tau * tau * d2alpha_dtau2(delta, tau)) /
          molarMass();
}

h_from_T_v() [1/2]

Real SinglePhaseFluidProperties::h_from_T_v ( Real  T, Real  v  ) const

virtualinherited

Specific enthalpy from temperature and specific volume.

Parameters

[in]	T	temperature
[in]	v	specific volume

Reimplemented in IdealGasFluidProperties, and StiffenedGasFluidProperties.

Definition at line 673 of file SinglePhaseFluidProperties.C.

Referenced by IdealRealGasMixtureFluidProperties::cp_from_p_T(), and IdealRealGasMixtureFluidProperties::cp_from_T_v().

{
  mooseError(name(), ": ", __PRETTY_FUNCTION__, " not implemented.");
}

h_from_T_v() [2/2]

void SinglePhaseFluidProperties::h_from_T_v ( Real  T, Real  v, Real &  h, Real &  dh_dT, Real &  dh_dv  ) const

virtualinherited

Specific enthalpy and its derivatives from temperature and specific volume.

Parameters

[in]	T	temperature
[in]	v	specific volume
[out]	h	specific enthalpy (J/kg)
[out]	dh_dT	derivative of specific enthalpy w.r.t. temperature
[out]	dh_dv	derivative of specific enthalpy w.r.t. specific volume

Reimplemented in IdealGasFluidProperties, and StiffenedGasFluidProperties.

Definition at line 679 of file SinglePhaseFluidProperties.C.

{
  mooseError(name(), ": ", __PRETTY_FUNCTION__, " not implemented.");
}

henryConstant() [1/2]

Real HydrogenFluidProperties::henryConstant ( Real  temperature ) const

overridevirtual

Henry's law constant for dissolution in water.

Parameters

temperature

fluid temperature (K)

Returns

Henry's constant

Reimplemented from SinglePhaseFluidProperties.

Definition at line 272 of file HydrogenFluidProperties.C.

{
  return henryConstantIAPWS(temperature, -4.73284, 6.08954, 6.06066);
}

henryConstant() [2/2]

void HydrogenFluidProperties::henryConstant ( Real  temperature, Real &  Kh, Real &  dKh_dT  ) const

overridevirtual

Henry's law constant for dissolution in water and derivative wrt temperature.

Parameters

	temperature	fluid temperature (K)
[out]	Kh	Henry's constant
[out]	dKh_dT	derivative of Kh wrt temperature

Reimplemented from SinglePhaseFluidProperties.

Definition at line 278 of file HydrogenFluidProperties.C.

{
  henryConstantIAPWS(temperature, Kh, dKh_dT, -4.73284, 6.08954, 6.06066);
}

henryConstant_dT()

void SinglePhaseFluidProperties::henryConstant_dT ( Real  temperature, Real &  Kh, Real &  dKh_dT  ) const

virtualinherited

Definition at line 379 of file SinglePhaseFluidProperties.C.

{
  mooseDeprecated(name(), ": henryConstant_dT() is deprecated. Use henryConstant() instead");

  henryConstant(T, Kh, dKh_dT);
}

henryConstantIAPWS() [1/2]

Real SinglePhaseFluidProperties::henryConstantIAPWS ( Real  temperature, Real  A, Real  B, Real  C  ) const

protectedvirtualinherited

IAPWS formulation of Henry's law constant for dissolution in water From Guidelines on the Henry's constant and vapour liquid distribution constant for gases in H20 and D20 at high temperatures, IAPWS (2004)

Definition at line 274 of file SinglePhaseFluidProperties.C.

Referenced by MethaneFluidProperties::henryConstant(), NitrogenFluidProperties::henryConstant(), henryConstant(), CO2FluidProperties::henryConstant(), and SinglePhaseFluidProperties::henryConstantIAPWS_dT().

{
  const Real Tr = T / 647.096;
  const Real tau = 1.0 - Tr;

  const Real lnkh =
      A / Tr + B * std::pow(tau, 0.355) / Tr + C * std::pow(Tr, -0.41) * std::exp(tau);

  // The vapor pressure used in this formulation
  const std::vector<Real> a{
      -7.85951783, 1.84408259, -11.7866497, 22.6807411, -15.9618719, 1.80122502};
  const std::vector<Real> b{1.0, 1.5, 3.0, 3.5, 4.0, 7.5};
  Real sum = 0.0;

  for (std::size_t i = 0; i < a.size(); ++i)
    sum += a[i] * std::pow(tau, b[i]);

  return 22.064e6 * std::exp(sum / Tr) * std::exp(lnkh);
}

henryConstantIAPWS() [2/2]

void SinglePhaseFluidProperties::henryConstantIAPWS ( Real  temperature, Real &  Kh, Real &  dKh_dT, Real  A, Real  B, Real  C  ) const

protectedvirtualinherited

Definition at line 295 of file SinglePhaseFluidProperties.C.

{
  const Real pc = 22.064e6;
  const Real Tc = 647.096;

  const Real Tr = T / Tc;
  const Real tau = 1.0 - Tr;

  const Real lnkh =
      A / Tr + B * std::pow(tau, 0.355) / Tr + C * std::pow(Tr, -0.41) * std::exp(tau);
  const Real dlnkh_dT =
      (-A / Tr / Tr - B * std::pow(tau, 0.355) / Tr / Tr - 0.355 * B * std::pow(tau, -0.645) / Tr -
       0.41 * C * std::pow(Tr, -1.41) * std::exp(tau) - C * std::pow(Tr, -0.41) * std::exp(tau)) /
      Tc;

  // The vapor pressure used in this formulation
  const std::vector<Real> a{
      -7.85951783, 1.84408259, -11.7866497, 22.6807411, -15.9618719, 1.80122502};
  const std::vector<Real> b{1.0, 1.5, 3.0, 3.5, 4.0, 7.5};
  Real sum = 0.0;
  Real dsum = 0.0;

  for (std::size_t i = 0; i < a.size(); ++i)
  {
    sum += a[i] * std::pow(tau, b[i]);
    dsum += a[i] * b[i] * std::pow(tau, b[i] - 1.0);
  }

  const Real p = pc * std::exp(sum / Tr);
  const Real dp_dT = -p / Tc / Tr * (sum / Tr + dsum);

  // Henry's constant and its derivative wrt temperature
  Kh = p * std::exp(lnkh);
  dKh_dT = (p * dlnkh_dT + dp_dT) * std::exp(lnkh);
}

henryConstantIAPWS_dT()

void SinglePhaseFluidProperties::henryConstantIAPWS_dT ( Real  temperature, Real &  Kh, Real &  dKh_dT, Real  A, Real  B, Real  C  ) const

protectedvirtualinherited

Definition at line 333 of file SinglePhaseFluidProperties.C.

{
  mooseDeprecated(name(),
                  ":henryConstantIAPWS_dT() is deprecated. Use henryConstantIAPWS() instead");

  henryConstantIAPWS(T, Kh, dKh_dT, A, B, C);
}

initialize()

virtual void FluidProperties::initialize ( )

inlinefinalvirtualinherited

Definition at line 28 of file FluidProperties.h.

{}

k()

Real SinglePhaseFluidProperties::k ( Real  pressure, Real  temperature  ) const

virtualinherited

Definition at line 565 of file SinglePhaseFluidProperties.C.

Referenced by SinglePhaseFluidProperties::k_dpT(), IdealGasFluidPropertiesPT::k_from_p_T(), MethaneFluidProperties::k_from_p_T(), SimpleFluidProperties::k_from_p_T(), NitrogenFluidProperties::k_from_p_T(), k_from_p_T(), NaClFluidProperties::k_from_p_T(), IdealGasFluidProperties::k_from_p_T(), StiffenedGasFluidProperties::k_from_p_T(), TabulatedFluidProperties::k_from_p_T(), and CO2FluidProperties::k_from_p_T().

{
  mooseDeprecated(name(), ": k() is deprecated. Use k_from_p_T() instead");

  return k_from_p_T(p, T);
}

k_dpT()

void SinglePhaseFluidProperties::k_dpT ( Real  pressure, Real  temperature, Real &  k, Real &  dk_dp, Real &  dk_dT  ) const

virtualinherited

Definition at line 579 of file SinglePhaseFluidProperties.C.

{
  mooseDeprecated(name(), ": k_dpT() is deprecated. Use k_from_p_T() instead");

  k_from_p_T(p, T, k, dk_dp, dk_dT);
}

k_from_p_T() [1/2]

Real HydrogenFluidProperties::k_from_p_T ( Real  pressure, Real  temperature  ) const

overridevirtual

Thermal conductivity.

Parameters

pressure	fluid pressure (Pa)
temperature	fluid temperature (K)

Returns

thermal conductivity (W/m/K)

Reimplemented from SinglePhaseFluidProperties.

Definition at line 250 of file HydrogenFluidProperties.C.

Referenced by k_from_p_T().

{
  // Require density first
  const Real density = rho_from_p_T(pressure, temperature);
  return k_from_rho_T(density, temperature);
}

k_from_p_T() [2/2]

void HydrogenFluidProperties::k_from_p_T ( Real  pressure, Real  temperature, Real &  k, Real &  dk_dp, Real &  dk_dT  ) const

overridevirtual

Thermal conductivity and its derivatives wrt pressure and temperature.

Parameters

	pressure	fluid pressure (Pa)
	temperature	fluid temperature (K)
[out]	thermal	conductivity (W/m/K)
[out]	derivative	of thermal conductivity wrt pressure
[out]	derivative	of thermal conductivity wrt temperature

Reimplemented from SinglePhaseFluidProperties.

Definition at line 258 of file HydrogenFluidProperties.C.

{
  k = this->k_from_p_T(pressure, temperature);
  // Calculate derivatives using finite differences
  const Real eps = 1.0e-6;
  const Real peps = pressure * eps;
  const Real Teps = temperature * eps;

  dk_dp = (this->k_from_p_T(pressure + peps, temperature) - k) / peps;
  dk_dT = (this->k_from_p_T(pressure, temperature + Teps) - k) / Teps;
}

k_from_rho_T()

Real HydrogenFluidProperties::k_from_rho_T ( Real  density, Real  temperature  ) const

overridevirtual

Thermal conductivity as a function of density and temperature.

Parameters

density	fluid density (kg/m^3)
temperature	fluid temperature (K)

Returns

thermal conductivity (W/m/K)

Reimplemented from SinglePhaseFluidProperties.

Definition at line 219 of file HydrogenFluidProperties.C.

Referenced by k_from_p_T().

{
  // // Scaled variables
  const Real Tr = temperature / 33.145;
  const Real rhor = density / 31.262;

  // The ideal gas component
  Real sum1 = 0.0;
  for (std::size_t i = 0; i < _a1k.size(); ++i)
    sum1 += _a1k[i] * MathUtils::pow(Tr, i);

  Real sum2 = 0.0;
  for (std::size_t i = 0; i < _a2k.size(); ++i)
    sum2 += _a2k[i] * MathUtils::pow(Tr, i);

  const Real lambda0 = sum1 / sum2;

  // The excess contribution due to density
  Real lambdah = 0.0;
  for (std::size_t i = 0; i < _b1k.size(); ++i)
    lambdah += (_b1k[i] + _b2k[i] * Tr) * MathUtils::pow(rhor, i + 1);

  // The critical enhancement
  const Real lambdac = 6.24e-4 / (-2.58e-7 + std::abs(Tr - 1.0)) *
                       std::exp(-MathUtils::pow(0.837 * (rhor - 1.0), 2));

  // The thermal conductivity
  return lambda0 + lambdah + lambdac;
}

k_from_v_e()

Real SinglePhaseFluidProperties::k_from_v_e ( Real  v, Real  e  ) const

virtualinherited

Thermal conductivity from specific volume and specific internal energy.

Parameters

[in]	v	specific volume
[in]	e	specific internal energy

Reimplemented in IdealGasFluidProperties, and StiffenedGasFluidProperties.

Definition at line 82 of file SinglePhaseFluidProperties.C.

Referenced by FluidPropertiesMaterial::computeQpProperties(), GeneralVaporMixtureFluidProperties::k_from_p_T(), IdealRealGasMixtureFluidProperties::k_from_p_T(), and IdealRealGasMixtureFluidProperties::k_from_T_v().

{
  mooseError(name(), ": ", __PRETTY_FUNCTION__, " not implemented.");
}

molarMass()

Real HydrogenFluidProperties::molarMass ( ) const

overridevirtual

Molar mass [kg/mol].

Returns

molar mass

Reimplemented from SinglePhaseFluidProperties.

Definition at line 45 of file HydrogenFluidProperties.C.

{
  return _Mh2;
}

mu()

Real SinglePhaseFluidProperties::mu ( Real  pressure, Real  temperature  ) const

virtualinherited

Dynamic viscosity.

Parameters

pressure	fluid pressure (Pa)
temperature	fluid temperature (K)

Returns

viscosity (Pa.s)

Definition at line 489 of file SinglePhaseFluidProperties.C.

Referenced by SinglePhaseFluidProperties::mu_dpT(), SinglePhaseFluidProperties::mu_drhoT_from_rho_T(), MethaneFluidProperties::mu_from_p_T(), CO2FluidProperties::mu_from_p_T(), NitrogenFluidProperties::mu_from_p_T(), mu_from_p_T(), IdealGasFluidPropertiesPT::mu_from_p_T(), IdealGasFluidProperties::mu_from_p_T(), Water97FluidProperties::mu_from_p_T(), StiffenedGasFluidProperties::mu_from_p_T(), SimpleFluidProperties::mu_from_p_T(), TabulatedFluidProperties::mu_from_p_T(), NitrogenFluidProperties::mu_from_rho_T(), mu_from_rho_T(), CO2FluidProperties::mu_from_rho_T(), Water97FluidProperties::mu_from_rho_T(), SinglePhaseFluidProperties::rho_mu(), SinglePhaseFluidProperties::rho_mu_dpT(), NitrogenFluidProperties::rho_mu_from_p_T(), rho_mu_from_p_T(), CO2FluidProperties::rho_mu_from_p_T(), IdealGasFluidPropertiesPT::rho_mu_from_p_T(), Water97FluidProperties::rho_mu_from_p_T(), and SinglePhaseFluidProperties::rho_mu_from_p_T().

{
  mooseDeprecated(name(), ": mu() is deprecated. Use mu_from_p_T() instead");

  return mu_from_p_T(p, T);
}

mu_dpT()

void SinglePhaseFluidProperties::mu_dpT ( Real  pressure, Real  temperature, Real &  mu, Real &  dmu_dp, Real &  dmu_dT  ) const

virtualinherited

Dynamic viscosity and its derivatives wrt pressure and temperature.

Parameters

	pressure	fluid pressure (Pa)
	temperature	fluid temperature (K)
[out]	mu	viscosity (Pa.s)
[out]	dmu_dp	derivative of viscosity wrt pressure
[out]	dmu_dT	derivative of viscosity wrt temperature

Definition at line 502 of file SinglePhaseFluidProperties.C.

{
  mooseDeprecated(name(), ": mu_dpT() is deprecated. Use mu_from_p_T() instead");

  mu_from_p_T(p, T, mu, dmu_dp, dmu_dT);
}

mu_drhoT_from_rho_T()

void SinglePhaseFluidProperties::mu_drhoT_from_rho_T ( Real  density, Real  temperature, Real  ddensity_dT, Real &  mu, Real &  dmu_drho, Real &  dmu_dT  ) const

virtualinherited

Definition at line 354 of file SinglePhaseFluidProperties.C.

{
  mooseDeprecated(name(), ":mu_drhoT_from_rho_T() is deprecated. Use mu_from_rho_T() instead");

  mu_from_rho_T(rho, T, drho_dT, mu, dmu_drho, dmu_dT);
}

mu_from_p_T() [1/2]

Real HydrogenFluidProperties::mu_from_p_T ( Real  pressure, Real  temperature  ) const

overridevirtual

Reimplemented from SinglePhaseFluidProperties.

Definition at line 173 of file HydrogenFluidProperties.C.

{
  // Require density first
  const Real density = rho_from_p_T(pressure, temperature);
  return mu_from_rho_T(density, temperature);
}

mu_from_p_T() [2/2]

void HydrogenFluidProperties::mu_from_p_T ( Real  pressure, Real  temperature, Real &  mu, Real &  dmu_dp, Real &  dmu_dT  ) const

overridevirtual

Reimplemented from SinglePhaseFluidProperties.

Definition at line 181 of file HydrogenFluidProperties.C.

{
  Real rho, drho_dp, drho_dT;
  rho_from_p_T(pressure, temperature, rho, drho_dp, drho_dT);

  Real dmu_drho;
  mu_from_rho_T(rho, temperature, drho_dT, mu, dmu_drho, dmu_dT);
  dmu_dp = dmu_drho * drho_dp;
}

mu_from_rho_T() [1/2]

Real HydrogenFluidProperties::mu_from_rho_T ( Real  density, Real  temperature  ) const

overridevirtual

Dynamic viscosity as a function of density and temperature.

Parameters

density	fluid density (kg/m^3)
temperature	fluid temperature (K)

Returns

viscosity (Pa.s)

Reimplemented from SinglePhaseFluidProperties.

Definition at line 81 of file HydrogenFluidProperties.C.

Referenced by mu_from_p_T(), and rho_mu_from_p_T().

{
  // Scaled variables
  const Real Tstar = temperature / 30.41;
  const Real logTstar = std::log(Tstar);
  const Real Tr = temperature / _T_critical;
  const Real rhor = density / 90.5;

  // Ideal gas component
  Real sum = 0.0;
  for (std::size_t i = 0; i < _amu.size(); ++i)
    sum += _amu[i] * MathUtils::pow(logTstar, i);

  const Real mu0 =
      0.021357 * std::sqrt(1000.0 * _Mh2 * temperature) / (0.297 * 0.297 * std::exp(sum));

  // The excess contribution due to density
  Real sumr = 0.0;
  for (std::size_t i = 0; i < _bmu.size(); ++i)
    sumr += _bmu[i];

  const Real mu1 = MathUtils::pow(0.297, 3) * sumr * mu0 / Tstar;

  // The viscosity is then
  const Real mu =
      mu0 + mu1 * density +
      _cmu[0] * rhor * rhor *
          std::exp(_cmu[1] * Tr + _cmu[2] / Tr + _cmu[3] * rhor * rhor / (_cmu[4] + Tr) +
                   _cmu[5] * MathUtils::pow(rhor, 6));

  return mu * 1.0e-6;
}

mu_from_rho_T() [2/2]

void HydrogenFluidProperties::mu_from_rho_T ( Real  density, Real  temperature, Real  ddensity_dT, Real &  mu, Real &  dmu_drho, Real &  dmu_dT  ) const

overridevirtual

Dynamic viscosity and its derivatives wrt density and temperature.

Parameters

	density	fluid density (kg/m^3)
	temperature	fluid temperature (K)
	ddensity_dT	derivative of density wrt temperature
[out]	mu	viscosity (Pa.s)
[out]	dmu_drho	derivative of viscosity wrt density
[out]	dmu_dT	derivative of viscosity wrt temperature

Reimplemented from SinglePhaseFluidProperties.

Definition at line 115 of file HydrogenFluidProperties.C.

{
  // Scaled variables
  const Real Tstar = temperature / 30.41;
  const Real logTstar = std::log(Tstar);
  const Real Tr = temperature / _T_critical;
  const Real rhor = density / 90.5;
  const Real drhor_drho = 1.0 / 90.5;
  const Real dTr_dT = 1.0 / _T_critical;

  // The dilute gas component
  Real sum = 0.0, dsum_dT = 0.0;
  for (std::size_t i = 0; i < _amu.size(); ++i)
  {
    sum += _amu[i] * MathUtils::pow(logTstar, i);
    dsum_dT += i * _amu[i] * MathUtils::pow(logTstar, i) / (temperature * logTstar);
  }

  const Real mu0 =
      0.021357 * std::sqrt(1000.0 * _Mh2 * temperature) / (0.297 * 0.297 * std::exp(sum));
  const Real dmu0_dT = 21.357 * _Mh2 * (1.0 - 2.0 * temperature * dsum_dT) * std::exp(-sum) /
                       (2.0 * std::sqrt(1000.0 * _Mh2 * temperature) * 0.297 * 0.297);

  // The excess contribution due to density
  Real sumr = 0.0;
  for (std::size_t i = 0; i < _bmu.size(); ++i)
    sumr += _bmu[i];

  const Real mu1 = MathUtils::pow(0.297, 3) * sumr * mu0 / Tstar;
  const Real dmu1_dT =
      MathUtils::pow(0.297, 3) * sumr * (dmu0_dT / Tstar - mu0 / (30.41 * Tstar * Tstar));

  // The viscosity and derivatives are then
  const Real exponent = _cmu[1] * Tr + _cmu[2] / Tr + _cmu[3] * rhor * rhor / (_cmu[4] + Tr) +
                        _cmu[5] * MathUtils::pow(rhor, 6);
  const Real dexponent_drho =
      (2.0 * _cmu[3] * rhor / (_cmu[4] + Tr) + 6.0 * _cmu[5] * MathUtils::pow(rhor, 5)) *
      drhor_drho;
  const Real dexponent_dT =
      (_cmu[1] - _cmu[2] / Tr / Tr - _cmu[3] * rhor * rhor / (_cmu[4] + Tr) / (_cmu[4] + Tr)) *
      dTr_dT;

  mu = (mu0 + mu1 * density + _cmu[0] * rhor * rhor * std::exp(exponent)) * 1.0e-6;
  dmu_drho =
      (mu1 + _cmu[0] * rhor * std::exp(exponent) * (2.0 * drhor_drho + rhor * dexponent_drho)) *
      1.0e-6;
  dmu_dT =
      (dmu0_dT + density * dmu1_dT + _cmu[0] * rhor * rhor * dexponent_dT * std::exp(exponent)) *
          1.0e-6 +
      dmu_drho * ddensity_dT;
}

mu_from_v_e()

Real SinglePhaseFluidProperties::mu_from_v_e ( Real  v, Real  e  ) const

virtualinherited

Dynamic viscosity from specific volume and specific internal energy.

Parameters

[in]	v	specific volume
[in]	e	specific internal energy

Reimplemented in IdealGasFluidProperties, and StiffenedGasFluidProperties.

Definition at line 77 of file SinglePhaseFluidProperties.C.

Referenced by FluidPropertiesMaterial::computeQpProperties(), GeneralVaporMixtureFluidProperties::mu_from_p_T(), IdealRealGasMixtureFluidProperties::mu_from_p_T(), and IdealRealGasMixtureFluidProperties::mu_from_T_v().

{
  mooseError(name(), ": ", __PRETTY_FUNCTION__, " not implemented.");
}

p_from_h_s() [1/2]

Real SinglePhaseFluidProperties::p_from_h_s ( Real  h, Real  s  ) const

virtualinherited

Pressure from specific enthalpy and specific entropy.

Parameters

[in]	h	specific enthalpy
[in]	s	specific entropy

Reimplemented in StiffenedGasFluidProperties, and IdealGasFluidProperties.

Definition at line 711 of file SinglePhaseFluidProperties.C.

Referenced by StagnationPressureAux::computeValue(), and StagnationTemperatureAux::computeValue().

{
  mooseError(name(), ": ", __PRETTY_FUNCTION__, " not implemented.");
}

p_from_h_s() [2/2]

void SinglePhaseFluidProperties::p_from_h_s ( Real  h, Real  s, Real &  p, Real &  dp_dh, Real &  dp_ds  ) const

virtualinherited

Pressure and its derivatives from specific enthalpy and specific entropy.

Parameters

[in]	h	specific enthalpy
[in]	s	specific entropy

Reimplemented in StiffenedGasFluidProperties, and IdealGasFluidProperties.

Definition at line 717 of file SinglePhaseFluidProperties.C.

{
  mooseError(name(), ": ", __PRETTY_FUNCTION__, " not implemented.");
}

p_from_rho_T()

Real HelmholtzFluidProperties::p_from_rho_T ( Real  rho, Real  T  ) const

virtualinherited

Pressure as a function of density and temperature.

Parameters

rho	density (kg/m^3)
T	temperature (K)

Returns

pressure (Pa)

Reimplemented in CO2FluidProperties.

Definition at line 222 of file HelmholtzFluidProperties.C.

Referenced by CO2FluidProperties::p_from_rho_T(), and HelmholtzFluidProperties::rho_from_p_T().

{
  // Scale the input density and temperature
  const Real delta = density / criticalDensity();
  const Real tau = criticalTemperature() / temperature;

  return _R * density * temperature * delta * dalpha_ddelta(delta, tau) / molarMass();
}

p_from_T_v() [1/2]

Real SinglePhaseFluidProperties::p_from_T_v ( Real  T, Real  v  ) const

virtualinherited

Pressure from temperature and specific volume.

Parameters

[in]	T	temperature
[in]	v	specific volume

Reimplemented in IdealGasFluidProperties, and StiffenedGasFluidProperties.

Definition at line 662 of file SinglePhaseFluidProperties.C.

Referenced by IdealRealGasMixtureFluidProperties::p_from_T_v().

{
  mooseError(name(), ": ", __PRETTY_FUNCTION__, " not implemented.");
}

p_from_T_v() [2/2]

void SinglePhaseFluidProperties::p_from_T_v ( Real  T, Real  v, Real &  p, Real &  dp_dT, Real &  dp_dv  ) const

virtualinherited

Pressure and its derivatives from temperature and specific volume.

Parameters

[in]	T	temperature
[in]	v	specific volume
[out]	p	pressure (Pa)
[out]	dp_dT	derivative of pressure w.r.t. temperature
[out]	dp_dv	derivative of pressure w.r.t. specific volume

Reimplemented in IdealGasFluidProperties, and StiffenedGasFluidProperties.

Definition at line 668 of file SinglePhaseFluidProperties.C.

{
  mooseError(name(), ": ", __PRETTY_FUNCTION__, " not implemented.");
}

p_from_v_e() [1/2]

Real SinglePhaseFluidProperties::p_from_v_e ( Real  v, Real  e  ) const

virtualinherited

Pressure from specific volume and specific internal energy.

Parameters

[in]	v	specific volume
[in]	e	specific internal energy

Reimplemented in IdealGasFluidProperties, StiffenedGasFluidProperties, and NaNInterfaceTestFluidProperties.

Definition at line 28 of file SinglePhaseFluidProperties.C.

Referenced by FluidPropertiesMaterial::computeQpProperties(), PressureAux::computeValue(), StagnationPressureAux::computeValue(), and StagnationTemperatureAux::computeValue().

{
  mooseError(name(), ": ", __PRETTY_FUNCTION__, " not implemented.");
}

p_from_v_e() [2/2]

void SinglePhaseFluidProperties::p_from_v_e ( Real  v, Real  e, Real &  p, Real &  dp_dv, Real &  dp_de  ) const

virtualinherited

Pressure and its derivatives from specific volume and specific internal energy.

Parameters

[in]	v	specific volume
[in]	e	specific internal energy
[out]	p	pressure
[out]	dp_dv	derivative of pressure w.r.t. specific volume
[out]	dp_de	derivative of pressure w.r.t. specific internal energy

Reimplemented in IdealGasFluidProperties, StiffenedGasFluidProperties, and NaNInterfaceTestFluidProperties.

Definition at line 34 of file SinglePhaseFluidProperties.C.

{
  mooseError(name(), ": ", __PRETTY_FUNCTION__, " not implemented.");
}

pp_sat_from_p_T()

Real SinglePhaseFluidProperties::pp_sat_from_p_T ( Real  p, Real  T  ) const

virtualinherited

Partial pressure at saturation in a gas mixture.

Parameters

[in]	p	pressure (Pa)
[in]	T	temperature (K)

Returns

pp_sat (Pa)

Reimplemented in StiffenedGasFluidProperties.

Definition at line 208 of file SinglePhaseFluidProperties.C.

Referenced by IdealRealGasMixtureFluidProperties::xs_prim_from_p_T().

{
  mooseError(name(), ": pp_sat_from_p_T is not implemented");
}

rho()

Real SinglePhaseFluidProperties::rho ( Real  p, Real  T  ) const

virtualinherited

Definition at line 616 of file SinglePhaseFluidProperties.C.

Referenced by SinglePhaseFluidProperties::beta_from_p_T(), StiffenedGasFluidProperties::c2_from_p_rho(), StiffenedGasFluidProperties::e_from_p_rho(), IdealGasFluidProperties::e_from_p_rho(), NaClFluidProperties::e_from_p_T(), SinglePhaseFluidProperties::e_from_p_T(), IdealGasFluidProperties::h_from_p_T(), Water97FluidProperties::k_from_p_T(), SinglePhaseFluidProperties::mu_drhoT_from_rho_T(), CO2FluidProperties::mu_from_p_T(), NitrogenFluidProperties::mu_from_p_T(), mu_from_p_T(), Water97FluidProperties::mu_from_p_T(), SinglePhaseFluidProperties::rho_dpT(), IdealGasFluidPropertiesPT::rho_e_dpT(), SinglePhaseFluidProperties::rho_e_dpT(), SinglePhaseFluidProperties::rho_e_from_p_T(), IdealGasFluidProperties::rho_from_p_s(), StiffenedGasFluidProperties::rho_from_p_s(), HelmholtzFluidProperties::rho_from_p_T(), CO2FluidProperties::rho_from_p_T(), StiffenedGasFluidProperties::rho_from_p_T(), IdealGasFluidPropertiesPT::rho_from_p_T(), IdealGasFluidProperties::rho_from_p_T(), Water97FluidProperties::rho_from_p_T(), NaClFluidProperties::rho_from_p_T(), SimpleFluidProperties::rho_from_p_T(), TabulatedFluidProperties::rho_from_p_T(), SinglePhaseFluidProperties::rho_mu(), SinglePhaseFluidProperties::rho_mu_dpT(), NitrogenFluidProperties::rho_mu_from_p_T(), rho_mu_from_p_T(), CO2FluidProperties::rho_mu_from_p_T(), IdealGasFluidPropertiesPT::rho_mu_from_p_T(), Water97FluidProperties::rho_mu_from_p_T(), SinglePhaseFluidProperties::rho_mu_from_p_T(), SinglePhaseFluidProperties::T_from_p_h(), and SinglePhaseFluidProperties::v_from_p_T().

{
  mooseDeprecated(name(), ": rho() is deprecated. Use rho_from_p_T() instead");

  return rho_from_p_T(p, T);
}

rho_dpT()

void SinglePhaseFluidProperties::rho_dpT ( Real  pressure, Real  temperature, Real &  rho, Real &  drho_dp, Real &  drho_dT  ) const

virtualinherited

Definition at line 406 of file SinglePhaseFluidProperties.C.

{
  mooseDeprecated(name(), ": rho_dpT() is deprecated. Use rho_from_p_T() instead");

  rho_from_p_T(p, T, rho, drho_dp, drho_dT);
}

rho_e_dpT()

void SinglePhaseFluidProperties::rho_e_dpT ( Real  pressure, Real  temperature, Real &  rho, Real &  drho_dp, Real &  drho_dT, Real &  e, Real &  de_dp, Real &  de_dT  ) const

virtualinherited

Reimplemented in IdealGasFluidPropertiesPT.

Definition at line 445 of file SinglePhaseFluidProperties.C.

{
  mooseDeprecated(name(), ": rho_e_dpT() is deprecated. Use rho_e_from_p_T() instead");

  rho_e_from_p_T(p, T, rho, drho_dp, drho_dT, e, de_dp, de_dT);
}

rho_e_from_p_T()

void SinglePhaseFluidProperties::rho_e_from_p_T ( Real  pressure, Real  temperature, Real &  rho, Real &  drho_dp, Real &  drho_dT, Real &  e, Real &  de_dp, Real &  de_dT  ) const

virtualinherited

Density and internal energy and their derivatives wrt pressure and temperature.

Parameters

	pressure	fluid pressure (Pa)
	temperature	fluid temperature (K)
[out]	rho	density (kg/m^3)
[out]	drho_dp	derivative of density wrt pressure
[out]	drho_dT	derivative of density wrt temperature
[out]	e	internal energy (J/kg)
[out]	de_dp	derivative of internal energy wrt pressure
[out]	de_dT	derivative of internal energy wrt temperature

Definition at line 431 of file SinglePhaseFluidProperties.C.

Referenced by SinglePhaseFluidProperties::rho_e_dpT().

{
  rho_from_p_T(p, T, rho, drho_dp, drho_dT);
  e_from_p_T(p, T, e, de_dp, de_dT);
}

rho_from_p_s() [1/2]

Real SinglePhaseFluidProperties::rho_from_p_s ( Real  p, Real  s  ) const

virtualinherited

Density from pressure and specific entropy.

Parameters

[in]	p	pressure
[in]	s	specific entropy

Reimplemented in IdealGasFluidProperties, and StiffenedGasFluidProperties.

Definition at line 109 of file SinglePhaseFluidProperties.C.

Referenced by StagnationTemperatureAux::computeValue(), and SinglePhaseFluidProperties::T_from_p_h().

{
  mooseError(name(), ": ", __PRETTY_FUNCTION__, " not implemented.");
}

rho_from_p_s() [2/2]

void SinglePhaseFluidProperties::rho_from_p_s ( Real  p, Real  s, Real &  rho, Real &  drho_dp, Real &  drho_ds  ) const

virtualinherited

Density and its derivatives from pressure and specific entropy.

Parameters

[in]	p	pressure
[in]	s	specific entropy
[out]	rho	density
[out]	drho_dp	derivative of density w.r.t. pressure
[out]	drho_ds	derivative of density w.r.t. specific entropy

Reimplemented in IdealGasFluidProperties, and StiffenedGasFluidProperties.

Definition at line 115 of file SinglePhaseFluidProperties.C.

{
  mooseError(name(), ": ", __PRETTY_FUNCTION__, " not implemented.");
}

rho_from_p_T() [1/2]

Real HelmholtzFluidProperties::rho_from_p_T ( Real  p, Real  T  ) const

overridevirtualinherited

Density from pressure and temperature.

Parameters

[in]	p	pressure (Pa)
[in]	T	temperature (K)

Returns

density (kg/m^3)

Reimplemented from SinglePhaseFluidProperties.

Reimplemented in CO2FluidProperties.

Definition at line 29 of file HelmholtzFluidProperties.C.

Referenced by HelmholtzFluidProperties::c_from_p_T(), HelmholtzFluidProperties::cp_from_p_T(), HelmholtzFluidProperties::cv_from_p_T(), HelmholtzFluidProperties::e_from_p_T(), HelmholtzFluidProperties::h_from_p_T(), NitrogenFluidProperties::k_from_p_T(), k_from_p_T(), NitrogenFluidProperties::mu_from_p_T(), CO2FluidProperties::mu_from_p_T(), mu_from_p_T(), HelmholtzFluidProperties::rho_from_p_T(), CO2FluidProperties::rho_from_p_T(), NitrogenFluidProperties::rho_mu_from_p_T(), rho_mu_from_p_T(), and HelmholtzFluidProperties::s_from_p_T().

{
  Real density;
  // Initial estimate of a bracketing interval for the density
  Real lower_density = 1.0e-2;
  Real upper_density = 100.0;

  // The density is found by finding the zero of the pressure
  auto pressure_diff = [&pressure, &temperature, this](Real x) {
    return this->p_from_rho_T(x, temperature) - pressure;
  };

  BrentsMethod::bracket(pressure_diff, lower_density, upper_density);
  density = BrentsMethod::root(pressure_diff, lower_density, upper_density);

  return density;
}

rho_from_p_T() [2/2]

void HelmholtzFluidProperties::rho_from_p_T ( Real  p, Real  T, Real &  rho, Real &  drho_dp, Real &  drho_dT  ) const

overridevirtualinherited

Density and its derivatives from pressure and temperature.

Parameters

[in]	p	pressure (Pa)
[in]	T	temperature (K)
[out]	rho	density (kg/m^3)
[out]	drho_dp	derivative of density w.r.t. pressure
[out]	drho_dT	derivative of density w.r.t. temperature

Reimplemented from SinglePhaseFluidProperties.

Reimplemented in CO2FluidProperties.

Definition at line 48 of file HelmholtzFluidProperties.C.

{
  rho = this->rho_from_p_T(pressure, temperature);

  // Scale the density and temperature
  const Real delta = rho / criticalDensity();
  const Real tau = criticalTemperature() / temperature;
  const Real da_dd = dalpha_ddelta(delta, tau);
  const Real d2a_dd2 = d2alpha_ddelta2(delta, tau);

  drho_dp = molarMass() / (_R * temperature * delta * (2.0 * da_dd + delta * d2a_dd2));
  drho_dT = rho * (tau * d2alpha_ddeltatau(delta, tau) - da_dd) / temperature /
            (2.0 * da_dd + delta * d2a_dd2);
}

rho_mu()

void SinglePhaseFluidProperties::rho_mu ( Real  pressure, Real  temperature, Real &  rho, Real &  mu  ) const

virtualinherited

Density and viscosity.

Parameters

	pressure	fluid pressure (Pa)
	temperature	fluid temperature (K)
[out]	rho	density (kg/m^3)
[out]	mu	viscosity (Pa.s)

Definition at line 516 of file SinglePhaseFluidProperties.C.

{
  mooseDeprecated(name(), ": rho_mu() is deprecated. Use rho_mu_from_p_T() instead");

  rho_mu_from_p_T(p, T, rho, mu);
}

rho_mu_dpT()

void SinglePhaseFluidProperties::rho_mu_dpT ( Real  pressure, Real  temperature, Real &  rho, Real &  drho_dp, Real &  drho_dT, Real &  mu, Real &  dmu_dp, Real &  dmu_dT  ) const

virtualinherited

Definition at line 531 of file SinglePhaseFluidProperties.C.

{
  mooseDeprecated(name(), ": rho_mu_dpT() is deprecated. Use rho_mu_from_p_T() instead");

  rho_mu_from_p_T(p, T, rho, drho_dp, drho_dT, mu, dmu_dp, dmu_dT);
}

rho_mu_from_p_T() [1/2]

void HydrogenFluidProperties::rho_mu_from_p_T ( Real  pressure, Real  temperature, Real &  rho, Real &  mu  ) const

overridevirtual

Reimplemented from SinglePhaseFluidProperties.

Definition at line 193 of file HydrogenFluidProperties.C.

{
  rho = rho_from_p_T(pressure, temperature);
  mu = mu_from_rho_T(rho, temperature);
}

rho_mu_from_p_T() [2/2]

void HydrogenFluidProperties::rho_mu_from_p_T ( Real  pressure, Real  temperature, Real &  rho, Real &  drho_dp, Real &  drho_dT, Real &  mu, Real &  dmu_dp, Real &  dmu_dT  ) const

overridevirtual

Density and viscosity and their derivatives wrt pressure and temperature.

Parameters

	pressure	fluid pressure (Pa)
	temperature	fluid temperature (K)
[out]	rho	density (kg/m^3)
[out]	drho_dp	derivative of density wrt pressure
[out]	drho_dT	derivative of density wrt temperature
[out]	mu	viscosity (Pa.s)
[out]	dmu_dp	derivative of viscosity wrt pressure
[out]	dmu_dT	derivative of viscosity wrt temperature

Reimplemented from SinglePhaseFluidProperties.

Definition at line 203 of file HydrogenFluidProperties.C.

{
  rho_from_p_T(pressure, temperature, rho, drho_dp, drho_dT);
  Real dmu_drho;
  mu_from_rho_T(rho, temperature, drho_dT, mu, dmu_drho, dmu_dT);
  dmu_dp = dmu_drho * drho_dp;
}

s()

Real SinglePhaseFluidProperties::s ( Real  pressure, Real  temperature  ) const

virtualinherited

Definition at line 587 of file SinglePhaseFluidProperties.C.

Referenced by IdealGasFluidProperties::p_from_h_s(), StiffenedGasFluidProperties::p_from_h_s(), IdealGasFluidProperties::rho_from_p_s(), StiffenedGasFluidProperties::rho_from_p_s(), StiffenedGasFluidProperties::s_from_h_p(), IdealGasFluidProperties::s_from_h_p(), IdealGasFluidProperties::s_from_p_T(), StiffenedGasFluidProperties::s_from_p_T(), IdealGasFluidPropertiesPT::s_from_p_T(), HelmholtzFluidProperties::s_from_p_T(), SimpleFluidProperties::s_from_p_T(), Water97FluidProperties::s_from_p_T(), TabulatedFluidProperties::s_from_p_T(), StiffenedGasFluidProperties::s_from_T_v(), IdealGasFluidProperties::s_from_T_v(), IdealGasFluidProperties::s_from_v_e(), StiffenedGasFluidProperties::s_from_v_e(), and SinglePhaseFluidProperties::T_from_p_h().

{
  mooseDeprecated(name(), ": s() is deprecated. Use s_from_p_T() instead");

  return s_from_p_T(p, T);
}

s_from_h_p() [1/2]

Real SinglePhaseFluidProperties::s_from_h_p ( Real  h, Real  p  ) const

virtualinherited

Specific entropy from specific enthalpy and pressure.

Parameters

[in]	h	specific enthalpy
[in]	p	pressure

Reimplemented in IdealGasFluidProperties, and StiffenedGasFluidProperties.

Definition at line 98 of file SinglePhaseFluidProperties.C.

Referenced by SinglePhaseFluidProperties::T_from_p_h().

{
  mooseError(name(), ": ", __PRETTY_FUNCTION__, " not implemented.");
}

s_from_h_p() [2/2]

void SinglePhaseFluidProperties::s_from_h_p ( Real  h, Real  p, Real &  s, Real &  ds_dh, Real &  ds_dp  ) const

virtualinherited

Specific entropy and its derivatives from specific enthalpy and pressure.

Parameters

[in]	h	specific enthalpy
[in]	p	pressure
[out]	s	specific entropy
[out]	ds_dh	derivative of specific entropy w.r.t. specific enthalpy
[out]	ds_dp	derivative of specific entropy w.r.t. pressure

Reimplemented in IdealGasFluidProperties, and StiffenedGasFluidProperties.

Definition at line 104 of file SinglePhaseFluidProperties.C.

{
  mooseError(name(), ": ", __PRETTY_FUNCTION__, " not implemented.");
}

s_from_p_T() [1/2]

Real HelmholtzFluidProperties::s_from_p_T ( Real  p, Real  T  ) const

overridevirtualinherited

Specific entropy from pressure and temperature.

Parameters

[in]	p	pressure
[in]	T	temperature

Reimplemented from SinglePhaseFluidProperties.

Definition at line 150 of file HelmholtzFluidProperties.C.

Referenced by HelmholtzFluidProperties::s_from_p_T().

{
  // Require density first
  const Real density = rho_from_p_T(pressure, temperature);
  // Scale the input density and temperature
  const Real delta = density / criticalDensity();
  const Real tau = criticalTemperature() / temperature;

  return _R * (tau * dalpha_dtau(delta, tau) - alpha(delta, tau)) / molarMass();
}

s_from_p_T() [2/2]

void HelmholtzFluidProperties::s_from_p_T ( Real  p, Real  T, Real &  s, Real &  ds_dp, Real &  ds_dT  ) const

overridevirtualinherited

Specific entropy and its derivatives from pressure and temperature.

Parameters

[in]	p	pressure
[in]	T	temperature
[out]	s	specific entropy
[out]	ds_dp	derivative of specific entropy w.r.t. pressure
[out]	ds_dT	derivative of specific entropy w.r.t. temperature

Reimplemented from SinglePhaseFluidProperties.

Definition at line 162 of file HelmholtzFluidProperties.C.

{
  s = this->s_from_p_T(pressure, temperature);

  // Require density first
  const Real density = rho_from_p_T(pressure, temperature);
  // Scale the input density and temperature
  const Real delta = density / criticalDensity();
  const Real tau = criticalTemperature() / temperature;

  const Real da_dd = dalpha_ddelta(delta, tau);
  const Real da_dt = dalpha_dtau(delta, tau);
  const Real d2a_dd2 = d2alpha_ddelta2(delta, tau);
  const Real d2a_dt2 = d2alpha_dtau2(delta, tau);
  const Real d2a_ddt = d2alpha_ddeltatau(delta, tau);

  ds_dp = tau * (d2a_ddt - da_dd) / (density * temperature * (2.0 * da_dd + delta * d2a_dd2));
  ds_dT = -_R * tau * (da_dt - alpha(delta, tau) + tau * (d2a_dt2 - da_dt)) /
          (molarMass() * temperature);
}

s_from_T_v() [1/2]

Real SinglePhaseFluidProperties::s_from_T_v ( Real  T, Real  v  ) const

virtualinherited

Specific entropy from temperature and specific volume.

Parameters

[in]	T	temperature
[in]	v	specific volume

Reimplemented in IdealGasFluidProperties, and StiffenedGasFluidProperties.

Definition at line 684 of file SinglePhaseFluidProperties.C.

Referenced by IdealRealGasMixtureFluidProperties::s_from_T_v().

{
  mooseError(name(), ": ", __PRETTY_FUNCTION__, " not implemented.");
}

s_from_T_v() [2/2]

void SinglePhaseFluidProperties::s_from_T_v ( Real  T, Real  v, Real &  s, Real &  ds_dT, Real &  ds_dv  ) const

virtualinherited

Specific entropy and its derivatives from temperature and specific volume.

Parameters

[in]	T	temperature
[in]	v	specific volume
[out]	s	specific entropy (J/kg)
[out]	ds_dT	derivative of specific entropy w.r.t. temperature
[out]	ds_dv	derivative of specific entropy w.r.t. specific volume

Reimplemented in IdealGasFluidProperties, and StiffenedGasFluidProperties.

Definition at line 690 of file SinglePhaseFluidProperties.C.

{
  mooseError(name(), ": ", __PRETTY_FUNCTION__, " not implemented.");
}

s_from_v_e() [1/2]

Real SinglePhaseFluidProperties::s_from_v_e ( Real  v, Real  e  ) const

virtualinherited

Specific entropy from specific volume and specific internal energy.

Parameters

[in]	v	specific volume
[in]	e	specific internal energy

Reimplemented in IdealGasFluidProperties, and StiffenedGasFluidProperties.

Definition at line 87 of file SinglePhaseFluidProperties.C.

Referenced by StagnationPressureAux::computeValue(), and StagnationTemperatureAux::computeValue().

{
  mooseError(name(), ": ", __PRETTY_FUNCTION__, " not implemented.");
}

s_from_v_e() [2/2]

void SinglePhaseFluidProperties::s_from_v_e ( Real  v, Real  e, Real &  s, Real &  ds_dv, Real &  ds_de  ) const

virtualinherited

Specific entropy and its derivatives from specific volume and specific internal energy.

Parameters

[in]	v	specific volume
[in]	e	specific internal energy
[out]	s	specific entropy
[out]	ds_dv	derivative of specific entropy w.r.t. specific volume
[out]	ds_de	derivative of specific entropy w.r.t. specific internal energy

Reimplemented in IdealGasFluidProperties, and StiffenedGasFluidProperties.

Definition at line 93 of file SinglePhaseFluidProperties.C.

{
  mooseError(name(), ": ", __PRETTY_FUNCTION__, " not implemented.");
}

subdomainSetup()

virtual void FluidProperties::subdomainSetup ( )

inlinefinalvirtualinherited

Definition at line 32 of file FluidProperties.h.

{}

T_from_p_h()

Real SinglePhaseFluidProperties::T_from_p_h ( Real  pressure, Real  enthalpy  ) const

virtualinherited

Temperature from pressure and specific enthalpy.

Parameters

[in]	pressure	pressure (Pa)
[in]	enthalpy	enthalpy (J/kg)

Returns

Temperature (K)

Reimplemented in IdealGasFluidProperties.

Definition at line 728 of file SinglePhaseFluidProperties.C.

{
  const Real s = s_from_h_p(h, p);
  const Real rho = rho_from_p_s(p, s);
  const Real v = 1. / rho;
  const Real e = e_from_v_h(v, h);
  return T_from_v_e(v, e);
}

T_from_v_e() [1/2]

Real SinglePhaseFluidProperties::T_from_v_e ( Real  v, Real  e  ) const

virtualinherited

Temperature from specific volume and specific internal energy.

Parameters

[in]	v	specific volume
[in]	e	specific internal energy

Returns

sound speed

Reimplemented in IdealGasFluidProperties, and StiffenedGasFluidProperties.

Definition at line 39 of file SinglePhaseFluidProperties.C.

Referenced by FluidPropertiesMaterial::computeQpProperties(), StagnationTemperatureAux::computeValue(), TemperatureAux::computeValue(), IdealRealGasMixtureFluidProperties::p_T_from_v_e(), and SinglePhaseFluidProperties::T_from_p_h().

{
  mooseError(name(), ": ", __PRETTY_FUNCTION__, " not implemented.");
}

T_from_v_e() [2/2]

void SinglePhaseFluidProperties::T_from_v_e ( Real  v, Real  e, Real &  T, Real &  dT_dv, Real &  dT_de  ) const

virtualinherited

Temperature and its derivatives from specific volume and specific internal energy.

Parameters

[in]	v	specific volume
[in]	e	specific internal energy
[out]	T	temperature
[out]	dT_dv	derivative of temperature w.r.t. specific volume
[out]	dT_de	derivative of temperature w.r.t. specific internal energy

Reimplemented in IdealGasFluidProperties, and StiffenedGasFluidProperties.

Definition at line 45 of file SinglePhaseFluidProperties.C.

{
  mooseError(name(), ": ", __PRETTY_FUNCTION__, " not implemented.");
}

threadJoin()

virtual void FluidProperties::threadJoin ( const UserObject &  )

inlinefinalvirtualinherited

Definition at line 31 of file FluidProperties.h.

{}

triplePointPressure()

Real HydrogenFluidProperties::triplePointPressure ( ) const

overridevirtual

Triple point pressure.

Returns

triple point pressure (Pa)

Reimplemented from SinglePhaseFluidProperties.

Definition at line 69 of file HydrogenFluidProperties.C.

{
  return _p_triple;
}

triplePointTemperature()

Real HydrogenFluidProperties::triplePointTemperature ( ) const

overridevirtual

Triple point temperature.

Returns

triple point temperature (K)

Reimplemented from SinglePhaseFluidProperties.

Definition at line 75 of file HydrogenFluidProperties.C.

{
  return _T_triple;
}

v_e_spndl_from_T()

void SinglePhaseFluidProperties::v_e_spndl_from_T ( Real  T, Real &  v, Real &  e  ) const

virtualinherited

Specific internal energy from temperature and specific volume.

Parameters

[in]	T	temperature
[in]	v	specific volume

Reimplemented in StiffenedGasFluidProperties.

Definition at line 651 of file SinglePhaseFluidProperties.C.

Referenced by IdealRealGasMixtureFluidProperties::v_from_p_T().

{
  mooseError(name(), ": ", __PRETTY_FUNCTION__, " not implemented.");
}

v_from_p_T() [1/2]

Real SinglePhaseFluidProperties::v_from_p_T ( Real  p, Real  T  ) const

virtualinherited

Specific volume from pressure and temperature.

Parameters

[in]	p	pressure
[in]	T	temperature

Definition at line 157 of file SinglePhaseFluidProperties.C.

Referenced by GeneralVaporMixtureFluidProperties::c_from_p_T(), GeneralVaporMixtureFluidProperties::cp_from_p_T(), GeneralVaporMixtureFluidProperties::cv_from_p_T(), GeneralVaporMixtureFluidProperties::k_from_p_T(), GeneralVaporMixtureFluidProperties::mu_from_p_T(), GeneralVaporMixtureFluidProperties::v_from_p_T(), and IdealRealGasMixtureFluidProperties::xs_prim_from_p_T().

{
  const Real rho = rho_from_p_T(p, T);
  return 1.0 / rho;
}

v_from_p_T() [2/2]

void SinglePhaseFluidProperties::v_from_p_T ( Real  p, Real  T, Real &  v, Real &  dv_dp, Real &  dv_dT  ) const

virtualinherited

Specific volume and its derivatives from pressure and temperature.

Parameters

[in]	p	pressure
[in]	T	temperature
[out]	v	specific volume
[out]	dv_dp	derivative of specific volume w.r.t. pressure
[out]	dv_dT	derivative of specific volume w.r.t. temperature

Definition at line 164 of file SinglePhaseFluidProperties.C.

{
  Real rho, drho_dp, drho_dT;
  rho_from_p_T(p, T, rho, drho_dp, drho_dT);

  v = 1.0 / rho;
  const Real dv_drho = -1.0 / (rho * rho);

  dv_dp = dv_drho * drho_dp;
  dv_dT = dv_drho * drho_dT;
}

vaporPressure() [1/2]

Real HydrogenFluidProperties::vaporPressure ( Real  temperature ) const

overridevirtual

Vapor pressure.

Used to delineate liquid and gas phases. Valid for temperatures between the triple point temperature and the critical temperature

Parameters

temperature

water temperature (K)

Returns

saturation pressure (Pa)

Reimplemented from SinglePhaseFluidProperties.

Definition at line 284 of file HydrogenFluidProperties.C.

{
  if (temperature < _T_triple || temperature > _T_critical)
    throw MooseException("Temperature is out of range in " + name() + ": vaporPressure()");

  const Real Tr = temperature / _T_critical;
  const Real theta = 1.0 - Tr;

  const Real logpressure = (-4.89789 * theta + 0.988588 * std::pow(theta, 1.5) +
                            0.349689 * Utility::pow<2>(theta) + 0.499356 * std::pow(theta, 2.85)) /
                           Tr;

  return _p_critical * std::exp(logpressure);
}

vaporPressure() [2/2]

void HydrogenFluidProperties::vaporPressure ( Real  temperature, Real &  psat, Real &  dpsat_dT  ) const

overridevirtual

Vapor pressure.

Used to delineate liquid and gas phases. Valid for temperatures between the triple point temperature and the critical temperature

Parameters

	temperature	water temperature (K)
[out]	saturation	pressure (Pa)
[out]	derivative	of saturation pressure wrt temperature (Pa/K)

Reimplemented from SinglePhaseFluidProperties.

Definition at line 300 of file HydrogenFluidProperties.C.

{
  mooseError(name(), ": vaporPressure() is not implemented");
}

vaporPressure_dT()

void SinglePhaseFluidProperties::vaporPressure_dT ( Real  temperature, Real &  psat, Real &  dpsat_dT  ) const

virtualinherited

Definition at line 398 of file SinglePhaseFluidProperties.C.

{
  mooseDeprecated(name(), ": vaporPressure_dT() is deprecated. Use vaporPressure() instead");

  vaporPressure(T, psat, dpsat_dT);
}

Member Data Documentation

_a

const std::array<Real, 5> HydrogenFluidProperties::_a {{1.616, -0.4117, -0.792, 0.758, 1.217}}

protected

Coefficients for ideal gas component of the Helmholtz free energy.

Definition at line 172 of file HydrogenFluidProperties.h.

Referenced by alpha(), d2alpha_dtau2(), and dalpha_dtau().

_a1k

const std::array<Real, 7> HydrogenFluidProperties::_a1k

protected

Initial value:

{
      {-3.40976e-1, 4.5882, -1.4508, 3.26394e-1, 3.16939e-3, 1.90592e-4, -1.139e-6}}

Coefficients for thermal conductivity.

Definition at line 199 of file HydrogenFluidProperties.h.

Referenced by k_from_rho_T().

_a2k

const std::array<Real, 4> HydrogenFluidProperties::_a2k {{1.38497e2, -2.21878e1, 4.57151, 1.0}}

protected

Definition at line 201 of file HydrogenFluidProperties.h.

Referenced by k_from_rho_T().

_amu

const std::array<Real, 5> HydrogenFluidProperties::_amu {{2.09630e-1, -4.55274e-1, 1.423602e-1, -3.35325e-2, 2.76981e-3}}

protected

Coefficients for viscosity.

Definition at line 193 of file HydrogenFluidProperties.h.

Referenced by mu_from_rho_T().

_b

const std::array<Real, 5> HydrogenFluidProperties::_b

protected

Initial value:

{
      {-16.0205159149, -22.6580178006, -60.0090511389, -74.9434303817, -206.9392065168}}

Definition at line 173 of file HydrogenFluidProperties.h.

Referenced by alpha(), d2alpha_dtau2(), and dalpha_dtau().

_b1k

const std::array<Real, 5> HydrogenFluidProperties::_b1k {{3.63081e-2, -2.07629e-2, 3.1481e-2, -1.43097e-2, 1.7498e-3}}

protected

Definition at line 202 of file HydrogenFluidProperties.h.

Referenced by k_from_rho_T().

_b2k

const std::array<Real, 5> HydrogenFluidProperties::_b2k {{1.8337e-3, -8.86716e-3, 1.5826e-2, -1.06283e-2, 2.80673e-3}}

protected

Definition at line 203 of file HydrogenFluidProperties.h.

Referenced by k_from_rho_T().

_beta3

const std::array<Real, 5> HydrogenFluidProperties::_beta3 {{-0.171, -0.2245, -0.1304, -0.2785, -0.3967}}

protected

Definition at line 188 of file HydrogenFluidProperties.h.

Referenced by alpha(), d2alpha_ddelta2(), d2alpha_ddeltatau(), d2alpha_dtau2(), dalpha_ddelta(), and dalpha_dtau().

_bmu

const std::array<Real, 7> HydrogenFluidProperties::_bmu {{-0.187, 2.4871, 3.7151, -11.0972, 9.0965, -3.8292, 0.5166}}

protected

Definition at line 194 of file HydrogenFluidProperties.h.

Referenced by mu_from_rho_T().

_cmu

const std::array<Real, 6> HydrogenFluidProperties::_cmu

protected

Initial value:

{
      {6.43449673, 4.56334068e-2, 2.32797868e-1, 9.5832612e-1, 1.27941189e-1, 3.63576595e-1}}

Definition at line 195 of file HydrogenFluidProperties.h.

Referenced by mu_from_rho_T().

_d1

const std::array<unsigned int, 7> HydrogenFluidProperties::_d1 {{1, 4, 1, 1, 2, 2, 3}}

protected

Definition at line 178 of file HydrogenFluidProperties.h.

Referenced by alpha(), d2alpha_ddelta2(), d2alpha_ddeltatau(), d2alpha_dtau2(), dalpha_ddelta(), and dalpha_dtau().

_d2

const std::array<unsigned int, 2> HydrogenFluidProperties::_d2 {{1, 3}}

protected

Definition at line 182 of file HydrogenFluidProperties.h.

Referenced by alpha(), d2alpha_ddelta2(), d2alpha_ddeltatau(), d2alpha_dtau2(), dalpha_ddelta(), and dalpha_dtau().

_d3

const std::array<unsigned int, 5> HydrogenFluidProperties::_d3 {{2, 1, 3, 1, 1}}

protected

Definition at line 186 of file HydrogenFluidProperties.h.

Referenced by alpha(), d2alpha_ddelta2(), d2alpha_ddeltatau(), d2alpha_dtau2(), dalpha_ddelta(), and dalpha_dtau().

_D3

const std::array<Real, 5> HydrogenFluidProperties::_D3 {{1.506, 0.156, 1.736, 0.67, 1.662}}

protected

Definition at line 190 of file HydrogenFluidProperties.h.

Referenced by alpha(), d2alpha_ddelta2(), d2alpha_ddeltatau(), d2alpha_dtau2(), dalpha_ddelta(), and dalpha_dtau().

_gamma3

const std::array<Real, 5> HydrogenFluidProperties::_gamma3 {{0.7164, 1.3444, 1.4517, 0.7204, 1.5445}}

protected

Definition at line 189 of file HydrogenFluidProperties.h.

Referenced by alpha(), d2alpha_ddelta2(), d2alpha_ddeltatau(), d2alpha_dtau2(), dalpha_ddelta(), and dalpha_dtau().

_Mh2

const Real HydrogenFluidProperties::_Mh2

protected

Hydrogen molar mass (kg/mol)

Definition at line 157 of file HydrogenFluidProperties.h.

Referenced by molarMass(), and mu_from_rho_T().

_N1

const std::array<Real, 7> HydrogenFluidProperties::_N1 {{-6.93643, 0.01, 2.1101, 4.52059, 0.732564, -1.34086, 0.130985}}

protected

Coefficients for residual component of the Helmholtz free energy.

Definition at line 176 of file HydrogenFluidProperties.h.

Referenced by alpha(), d2alpha_ddelta2(), d2alpha_ddeltatau(), d2alpha_dtau2(), dalpha_ddelta(), and dalpha_dtau().

_N2

const std::array<Real, 2> HydrogenFluidProperties::_N2 {{-0.777414, 0.351944}}

protected

Definition at line 180 of file HydrogenFluidProperties.h.

Referenced by alpha(), d2alpha_ddelta2(), d2alpha_ddeltatau(), d2alpha_dtau2(), dalpha_ddelta(), and dalpha_dtau().

_N3

const std::array<Real, 5> HydrogenFluidProperties::_N3 {{-0.0211716, 0.0226312, 0.032187, -0.0231752, 0.0557346}}

protected

Definition at line 184 of file HydrogenFluidProperties.h.

Referenced by alpha(), d2alpha_ddelta2(), d2alpha_ddeltatau(), d2alpha_dtau2(), dalpha_ddelta(), and dalpha_dtau().

_p_critical

const Real HydrogenFluidProperties::_p_critical

protected

Critical pressure (Pa)

Definition at line 159 of file HydrogenFluidProperties.h.

Referenced by criticalPressure(), and vaporPressure().

_p_triple

const Real HydrogenFluidProperties::_p_triple

protected

Triple point pressure (Pa)

Definition at line 167 of file HydrogenFluidProperties.h.

Referenced by triplePointPressure().

_phi3

const std::array<Real, 5> HydrogenFluidProperties::_phi3 {{-1.685, -0.489, -0.103, -2.506, -1.607}}

protected

Definition at line 187 of file HydrogenFluidProperties.h.

Referenced by alpha(), d2alpha_ddelta2(), d2alpha_ddeltatau(), d2alpha_dtau2(), dalpha_ddelta(), and dalpha_dtau().

_R

const Real SinglePhaseFluidProperties::_R

protectedinherited

Universal gas constant (J/mol/K)

Definition at line 789 of file SinglePhaseFluidProperties.h.

Referenced by IdealGasFluidPropertiesPT::c_from_p_T(), HelmholtzFluidProperties::c_from_p_T(), HelmholtzFluidProperties::cp_from_p_T(), HelmholtzFluidProperties::cv_from_p_T(), HelmholtzFluidProperties::e_from_p_T(), HelmholtzFluidProperties::h_from_p_T(), HelmholtzFluidProperties::p_from_rho_T(), HelmholtzFluidProperties::rho_from_p_T(), IdealGasFluidPropertiesPT::rho_from_p_T(), and HelmholtzFluidProperties::s_from_p_T().

_rho_critical

const Real HydrogenFluidProperties::_rho_critical

protected

Critical density (kg/m^3)

Definition at line 165 of file HydrogenFluidProperties.h.

Referenced by criticalDensity().

_rho_molar_critical

const Real HydrogenFluidProperties::_rho_molar_critical

protected

Critical molar density (mol/l)

Definition at line 163 of file HydrogenFluidProperties.h.

_t1

const std::array<Real, 7> HydrogenFluidProperties::_t1 {{0.6844, 1.0, 0.989, 0.489, 0.803, 1.1444, 1.409}}

protected

Definition at line 177 of file HydrogenFluidProperties.h.

Referenced by alpha(), d2alpha_ddelta2(), d2alpha_ddeltatau(), d2alpha_dtau2(), dalpha_ddelta(), and dalpha_dtau().

_t2

const std::array<Real, 2> HydrogenFluidProperties::_t2 {{1.754, 1.311}}

protected

Definition at line 181 of file HydrogenFluidProperties.h.

Referenced by alpha(), d2alpha_ddelta2(), d2alpha_ddeltatau(), d2alpha_dtau2(), dalpha_ddelta(), and dalpha_dtau().

_t3

const std::array<Real, 5> HydrogenFluidProperties::_t3 {{4.187, 5.646, 0.791, 7.249, 2.986}}

protected

Definition at line 185 of file HydrogenFluidProperties.h.

Referenced by alpha(), d2alpha_ddelta2(), d2alpha_ddeltatau(), d2alpha_dtau2(), dalpha_ddelta(), and dalpha_dtau().

_T_c2k

const Real SinglePhaseFluidProperties::_T_c2k

protectedinherited

Conversion of temperature from Celsius to Kelvin.

Definition at line 791 of file SinglePhaseFluidProperties.h.

Referenced by NaClFluidProperties::cp_from_p_T(), NaClFluidProperties::h_from_p_T(), NaClFluidProperties::k_from_p_T(), CO2FluidProperties::partialDensity(), and NaClFluidProperties::rho_from_p_T().

_T_critical

const Real HydrogenFluidProperties::_T_critical

protected

Critical temperature (K)

Definition at line 161 of file HydrogenFluidProperties.h.

Referenced by criticalTemperature(), mu_from_rho_T(), and vaporPressure().

_T_triple

const Real HydrogenFluidProperties::_T_triple

protected

Triple point temperature (K)

Definition at line 169 of file HydrogenFluidProperties.h.

Referenced by triplePointTemperature().

---

The documentation for this class was generated from the following files:

• fluid_properties/include/userobjects/HydrogenFluidProperties.h
• fluid_properties/src/userobjects/HydrogenFluidProperties.C