Nitrogen (N2) fluid properties as a function of pressure (Pa) and temperature (K). More...

#include <NitrogenFluidProperties.h>

Inheritance diagram for NitrogenFluidProperties:

Public Member Functions
	NitrogenFluidProperties (const InputParameters &parameters)

virtual std::string	fluidName () const override

virtual Real	molarMass () const override
	Fluid name. More...

virtual Real	mu_from_rho_T (Real density, Real temperature) const override

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

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
	Combined methods. More...

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

virtual Real	k_from_rho_T (Real density, Real temperature) const override

virtual Real	k_from_p_T (Real pressure, Real temperature) const override

virtual void	k_from_p_T (Real pressure, Real temperature, Real &k, Real &dk_dp, Real &dk_dT) const override

virtual std::vector< Real >	henryCoefficients () const override
	Henry's law coefficients for dissolution in water. 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

Real	saturatedLiquidDensity (Real temperature) const
	Saturated liquid density of N2 Valid for temperatures between the triple point temperature and critical temperature. More...

Real	saturatedVaporDensity (Real temperature) const
	Saturated vapor density of N2 Valid for temperatures between the triple point temperature and critical temperature. More...

virtual Real	rho_from_p_T (Real pressure, Real temperature) const override

virtual void	rho_from_p_T (Real pressure, Real temperature, Real &rho, Real &drho_dp, Real &drho_dT) const override

virtual Real	e_from_p_T (Real pressure, Real temperature) const override

virtual void	e_from_p_T (Real p, Real T, Real &e, Real &de_dp, Real &de_dT) const override

virtual Real	c_from_p_T (Real pressure, Real temperature) const override

virtual Real	cp_from_p_T (Real pressure, Real temperature) const override

virtual Real	cv_from_p_T (Real pressure, Real temperature) const override

virtual Real	s_from_p_T (Real pressure, Real temperature) const override

virtual void	s_from_p_T (Real p, Real T, Real &s, Real &ds_dp, Real &ds_dT) const override

virtual Real	h_from_p_T (Real pressure, Real temperature) const override

virtual void	h_from_p_T (Real p, Real T, Real &h, Real &dh_dp, Real &dh_dT) const override

virtual Real	p_from_rho_T (Real rho, Real T) const
	Pressure as a function of density and temperature. More...

virtual Real	criticalInternalEnergy () const
	Critical specific internal energy. 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...

DualReal	vaporPressure (const DualReal &T) const

virtual Real	vaporTemperature (Real p) const
	Vapor temperature. More...

virtual void	vaporTemperature (Real p, Real &Tsat, Real &dTsat_dp) const

DualReal	vaporTemperature (const DualReal &p) const

virtual void	rho_mu_from_p_T (const DualReal &p, const DualReal &T, DualReal &rho, DualReal &mu) const

virtual void	rho_e_from_p_T (Real p, Real T, Real &rho, Real &drho_dp, Real &drho_dT, Real &e, Real &de_dp, Real &de_dT) const

virtual void	execute () final

virtual void	initialize () final

virtual void	finalize () final

virtual void	threadJoin (const UserObject &) final

virtual void	subdomainSetup () final

Static Public Attributes
static const Real	_R = 8.3144598
	Universal gas constant (J/mol/K) More...

Protected Member Functions
virtual Real	alpha (Real delta, Real tau) const override
	Helmholtz free energy. 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...

Protected Attributes
const Real	_Mn2
	Nitrogen 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, 8 >	_a
	Coefficients for ideal gas component of the Helmholtz free energy. More...

const std::array< Real, 6 >	_N1
	Coefficients for residual component of the Helmholtz free energy. More...

const std::array< unsigned int, 6 >	_i1 {{1, 1, 2, 2, 3, 3}}

const std::array< Real, 6 >	_j1 {{0.25, 0.875, 0.5, 0.875, 0.375, 0.75}}

const std::array< Real, 26 >	_N2

const std::array< unsigned int, 26 >	_i2

const std::array< Real, 26 >	_j2

const std::array< unsigned int, 26 >	_l2

const std::array< Real, 4 >	_N3

const std::array< unsigned int, 4 >	_i3 {{1, 1, 3, 2}}

const std::array< unsigned int, 4 >	_j3 {{0, 1, 2, 3}}

const std::array< unsigned int, 4 >	_l3 {{2, 2, 2, 2}}

const std::array< Real, 4 >	_phi3 {{20.0, 20.0, 15.0, 25.0}}

const std::array< Real, 4 >	_beta3 {{325.0, 325.0, 300.0, 275.0}}

const std::array< Real, 4 >	_gamma3 {{1.16, 1.16, 1.13, 1.25}}

const std::array< Real, 5 >	_bmu {{0.431, -0.4623, 0.08406, 0.005341, -0.00331}}
	Coefficients for viscosity. More...

const std::array< Real, 5 >	_Nmu {{10.72, 0.03989, 0.001208, -7.402, 4.62}}

const std::array< Real, 5 >	_tmu {{0.1, 0.25, 3.2, 0.9, 0.3}}

const std::array< Real, 5 >	_dmu {{2, 10, 12, 2, 1}}

const std::array< Real, 5 >	_lmu {{0, 1, 1, 2, 3}}

const std::array< Real, 5 >	_gammamu {{0.0, 1.0, 1.0, 1.0, 1.0}}

const std::array< Real, 6 >	_Nk {{8.862, 31.11, -73.13, 20.03, -0.7096, 0.2672}}
	Coefficients for thermal conductivity. More...

const std::array< Real, 6 >	_tk {{0.0, 0.03, 0.2, 0.8, 0.6, 1.9}}

const std::array< unsigned int, 6 >	_dk {{1, 2, 3, 4, 8, 10}}

const std::array< unsigned int, 6 >	_lk {{0, 0, 1, 2, 2, 2}}

const std::array< Real, 6 >	_gammak {{0.0, 0.0, 1.0, 1.0, 1.0}}

const Real	_T_c2k
	Conversion of temperature from Celsius to Kelvin. More...

const bool	_allow_imperfect_jacobians
	Flag to set unimplemented Jacobian entries to zero. More...

Private Member Functions
template<typename... Args>
void	fluidPropError (Args... args) const

e e e e p h T T T T T v v v s h	propfuncWithDefault (beta, p, T) propfuncWithDefault(v

e e e e p h T T T T T v v v s h T	propfuncWithDefault (e, p, T) propfuncWithDefault(gamma

	propfunc (p, v, e) propfunc(T
	Compute a fluid property given for the state defined by two given properties. More...

e	propfunc (c, v, e) propfunc(cp

e e	propfunc (cv, v, e) propfunc(mu

e e e	propfunc (k, v, e) propfunc(s

e e e e	propfunc (s, h, p) propfunc(T

e e e e p	propfunc (rho, p, s) propfunc(e

e e e e p h	propfunc (s, p, T) propfunc(pp_sat

e e e e p h T	propfunc (mu, rho, T) propfunc(k

e e e e p h T T	propfunc (c, p, T) propfunc(cp

e e e e p h T T T	propfunc (cv, p, T) propfunc(mu

e e e e p h T T T T	propfunc (k, p, T) propfunc(rho

e e e e p h T T T T T	propfunc (e, p, rho) propfunc(e

e e e e p h T T T T T v	propfunc (p, T, v) propfunc(h

e e e e p h T T T T T v v	propfunc (s, T, v) propfunc(cv

e e e e p h T T T T T v v v	propfunc (h, p, T) propfunc(p

e e e e p h T T T T T v v v s	propfunc (g, v, e) propfuncWithDefault(T

	v

e	v

e e	v

e e e	v

e e e e p	v

e e e e p h T T T T T v v v s h T	v

e e e e	h

e e e e p h T T T T T v v v	h

e e e e p h	p

e e e e p h T T	p

e e e e p h T T T	p

e e e e p h T T T T	p

e e e e p h T T T T T v v v s	p

e e e e p h T T T T T v v v s h	p

e e e e p h T	rho

e e e e p h T T T T T	T

e e e e p h T T T T T v	T

e e e e p h T T T T T v v	T

e e e e p h T T T T T v v v s h T e	propfuncWithDefault (gamma, p, T)

Detailed Description

Nitrogen (N2) fluid properties as a function of pressure (Pa) and temperature (K).

Thermodynamic properties calculated from: Span,. Lemmon, Jacobsen, Wagner and Yokozeki, A reference equation of state for the thermodynamic properties of nitrogen for temeperatures from 63.151 to 1000 K and pressures to 2200 MPa, Journal of Physical and Chemical Reference Data, 29, 1361–1433 (2000)

Viscosity and thermal conductivity calculated from: Lemmon and Jacobsen, Viscosity and Thermal Conductivity Equations for Nitrogen, Oxygen, Argon, and Air, International Journal of Thermophysics, 25, 21–69 (2004)

Definition at line 38 of file NitrogenFluidProperties.h.

Constructor & Destructor Documentation

◆ NitrogenFluidProperties()

NitrogenFluidProperties::NitrogenFluidProperties ( const InputParameters & parameters )

Definition at line 26 of file NitrogenFluidProperties.C.

   : HelmholtzFluidProperties(parameters),
     _Mn2(28.01348e-3),
     _p_critical(3.3958e6),
     _T_critical(126.192),
     _rho_molar_critical(11.1839),
     _rho_critical(313.3),
     _p_triple(12.523e3),
     _T_triple(63.151)
 {
 }

Member Function Documentation

◆ alpha()

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

overrideprotectedvirtual

Helmholtz free energy.

Parameters

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

Returns: alpha Helmholtz free energy

Implements HelmholtzFluidProperties.

Definition at line 305 of file NitrogenFluidProperties.C.

 {
   // Ideal gas component of the Helmholtz free energy
   const Real alpha0 = std::log(delta) + _a[0] * std::log(tau) + _a[1] + _a[2] * tau + _a[3] / tau +
                       _a[4] / Utility::pow<2>(tau) + _a[5] / Utility::pow<3>(tau) +
                       _a[6] * std::log(1.0 - std::exp(-_a[7] * tau));
  
   // Residual component of the Helmholtz free energy
   Real alphar = 0.0;
  
   for (std::size_t i = 0; i < _N1.size(); ++i)
     alphar += _N1[i] * MathUtils::pow(delta, _i1[i]) * std::pow(tau, _j1[i]);
  
   for (std::size_t i = 0; i < _N2.size(); ++i)
     alphar += _N2[i] * MathUtils::pow(delta, _i2[i]) * std::pow(tau, _j2[i]) *
               std::exp(-MathUtils::pow(delta, _l2[i]));
  
   for (std::size_t i = 0; i < _N3.size(); ++i)
     alphar += _N3[i] * MathUtils::pow(delta, _i3[i]) * std::pow(tau, _j3[i]) *
               std::exp(-_phi3[i] * Utility::pow<2>(delta - 1.0) -
                        _beta3[i] * Utility::pow<2>(tau - _gamma3[i]));
  
   // The Helmholtz free energy is the sum of these two
   return alpha0 + alphar;
 }

◆ c_from_p_T()

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

overridevirtualinherited

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());
 }

◆ cp_from_p_T()

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

overridevirtualinherited

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;
 }

◆ criticalDensity()

Real NitrogenFluidProperties::criticalDensity ( ) const

overridevirtual

Critical density.

Returns: critical density (kg/m^3)

Reimplemented from SinglePhaseFluidProperties.

Definition at line 63 of file NitrogenFluidProperties.C.

 {
   return _rho_critical;
 }

◆ criticalInternalEnergy()

Real SinglePhaseFluidProperties::criticalInternalEnergy ( ) const

virtualinherited

Critical specific internal energy.

Returns: specific internal energy (J/kg)

Reimplemented in IdealGasFluidProperties, and StiffenedGasFluidProperties.

Definition at line 126 of file SinglePhaseFluidProperties.C.

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

Referenced by IdealRealGasMixtureFluidProperties::p_T_from_v_e(), and IdealRealGasMixtureFluidProperties::T_from_p_v().

◆ criticalPressure()

Real NitrogenFluidProperties::criticalPressure ( ) const

overridevirtual

Critical pressure.

Returns: critical pressure (Pa)

Reimplemented from SinglePhaseFluidProperties.

Definition at line 51 of file NitrogenFluidProperties.C.

 {
   return _p_critical;
 }

◆ criticalTemperature()

Real NitrogenFluidProperties::criticalTemperature ( ) const

overridevirtual

Critical temperature.

Returns: critical temperature (K)

Reimplemented from SinglePhaseFluidProperties.

Definition at line 57 of file NitrogenFluidProperties.C.

 {
   return _T_critical;
 }

◆ cv_from_p_T()

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

overridevirtualinherited

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();
 }

◆ d2alpha_ddelta2()

Real NitrogenFluidProperties::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 387 of file NitrogenFluidProperties.C.

 {
   // Ideal gas component of the Helmholtz free energy
   const Real dalpha0 = -1.0 / delta / delta;
  
   // Residual component of the Helmholtz free energy
   Real dalphar = 0.0;
  
   for (std::size_t i = 0; i < _N1.size(); ++i)
     dalphar +=
         _N1[i] * _i1[i] * (_i1[i] - 1.0) * MathUtils::pow(delta, _i1[i]) * std::pow(tau, _j1[i]);
  
   for (std::size_t i = 0; i < _N2.size(); ++i)
     dalphar += _N2[i] * MathUtils::pow(delta, _i2[i]) * std::pow(tau, _j2[i]) *
                std::exp(-MathUtils::pow(delta, _l2[i])) *
                ((_i2[i] - _l2[i] * MathUtils::pow(delta, _l2[i])) *
                     (_i2[i] - 1.0 - _l2[i] * MathUtils::pow(delta, _l2[i])) -
                 _l2[i] * _l2[i] * MathUtils::pow(delta, _l2[i]));
  
   for (std::size_t i = 0; i < _N3.size(); ++i)
     dalphar += _N3[i] * MathUtils::pow(delta, _i3[i]) * std::pow(tau, _j3[i]) *
                std::exp(-_phi3[i] * Utility::pow<2>(delta - 1.0) -
                         _beta3[i] * Utility::pow<2>(tau - _gamma3[i])) *
                (Utility::pow<2>(_i3[i] - 2.0 * delta * _phi3[i] * (delta - 1.0)) - _i3[i] -
                 2.0 * delta * delta * _phi3[i]);
  
   // The Helmholtz free energy
   return dalpha0 + dalphar / delta / delta;
 }

◆ d2alpha_ddeltatau()

Real NitrogenFluidProperties::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 449 of file NitrogenFluidProperties.C.

 {
   // Residual component of the Helmholtz free energy (second derivative of ideal
   // component wrt delta and tau is 0)
   Real dalphar = 0.0;
  
   for (std::size_t i = 0; i < _N1.size(); ++i)
     dalphar += _N1[i] * _i1[i] * _j1[i] * MathUtils::pow(delta, _i1[i]) * std::pow(tau, _j1[i]);
  
   for (std::size_t i = 0; i < _N2.size(); ++i)
     dalphar += _N2[i] * _j2[i] * MathUtils::pow(delta, _i2[i]) * std::pow(tau, _j2[i]) *
                std::exp(-MathUtils::pow(delta, _l2[i])) *
                (_i2[i] - _l2[i] * MathUtils::pow(delta, _l2[i]));
  
   for (std::size_t i = 0; i < _N3.size(); ++i)
     dalphar += _N3[i] * MathUtils::pow(delta, _i3[i]) * std::pow(tau, _j3[i]) *
                std::exp(-_phi3[i] * Utility::pow<2>(delta - 1.0) -
                         _beta3[i] * Utility::pow<2>(tau - _gamma3[i])) *
                (_i3[i] - 2.0 * delta * _phi3[i] * (delta - 1.0)) *
                (_j3[i] - 2.0 * tau * _beta3[i] * (tau - _gamma3[i]));
  
   // The Helmholtz free energy
   return dalphar / delta / tau;
 }

◆ d2alpha_dtau2()

Real NitrogenFluidProperties::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 NitrogenFluidProperties.C.

 {
   // Ideal gas component of the Helmholtz free energy
   const Real dalpha0 = -_a[0] + 2.0 * _a[3] / tau + 6.0 * _a[4] / Utility::pow<2>(tau) +
                        12.0 * _a[5] / Utility::pow<3>(tau) -
                        _a[6] * _a[7] * _a[7] * tau * tau * std::exp(_a[7] * tau) /
                            Utility::pow<2>(std::exp(_a[7] * tau) - 1.0);
  
   // Residual component of the Helmholtz free energy
   Real dalphar = 0.0;
  
   for (std::size_t i = 0; i < _N1.size(); ++i)
     dalphar +=
         _N1[i] * _j1[i] * (_j1[i] - 1.0) * MathUtils::pow(delta, _i1[i]) * std::pow(tau, _j1[i]);
  
   for (std::size_t i = 0; i < _N2.size(); ++i)
     dalphar += _N2[i] * _j2[i] * (_j2[i] - 1.0) * MathUtils::pow(delta, _i2[i]) *
                std::pow(tau, _j2[i]) * std::exp(-MathUtils::pow(delta, _l2[i]));
  
   for (std::size_t i = 0; i < _N3.size(); ++i)
     dalphar += _N3[i] * MathUtils::pow(delta, _i3[i]) * std::pow(tau, _j3[i]) *
                std::exp(-_phi3[i] * Utility::pow<2>(delta - 1.0) -
                         _beta3[i] * Utility::pow<2>(tau - _gamma3[i])) *
                (Utility::pow<2>(_j3[i] - 2.0 * tau * _beta3[i] * (tau - _gamma3[i])) - _j3[i] -
                 2.0 * tau * tau * _beta3[i]);
  
   // The Helmholtz free energy is the sum of these two
   return (dalpha0 + dalphar) / tau / tau;
 }

◆ dalpha_ddelta()

Real NitrogenFluidProperties::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 332 of file NitrogenFluidProperties.C.

 {
   // Ideal gas component of the Helmholtz free energy
   const Real dalpha0 = 1.0 / delta;
  
   // Residual component of the Helmholtz free energy
   Real dalphar = 0.0;
  
   for (std::size_t i = 0; i < _N1.size(); ++i)
     dalphar += _N1[i] * _i1[i] * MathUtils::pow(delta, _i1[i]) * std::pow(tau, _j1[i]);
  
   for (std::size_t i = 0; i < _N2.size(); ++i)
     dalphar += _N2[i] * MathUtils::pow(delta, _i2[i]) * std::pow(tau, _j2[i]) *
                std::exp(-MathUtils::pow(delta, _l2[i])) *
                (_i2[i] - _l2[i] * MathUtils::pow(delta, _l2[i]));
  
   for (std::size_t i = 0; i < _N3.size(); ++i)
     dalphar += _N3[i] * MathUtils::pow(delta, _i3[i]) * std::pow(tau, _j3[i]) *
                std::exp(-_phi3[i] * Utility::pow<2>(delta - 1.0) -
                         _beta3[i] * Utility::pow<2>(tau - _gamma3[i])) *
                (_i3[i] - 2.0 * delta * _phi3[i] * (delta - 1.0));
  
   // The Helmholtz free energy is the sum of these two
   return dalpha0 + dalphar / delta;
 }

◆ dalpha_dtau()

Real NitrogenFluidProperties::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 NitrogenFluidProperties.C.

 {
   // Ideal gas component of the Helmholtz free energy
   const Real dalpha0 = _a[0] + _a[2] * tau - _a[3] / tau - 2.0 * _a[4] / Utility::pow<2>(tau) -
                        3.0 * _a[5] / Utility::pow<3>(tau) +
                        _a[6] * _a[7] * tau / (std::exp(_a[7] * tau) - 1.0);
  
   // Residual component of the Helmholtz free energy
   Real dalphar = 0.0;
  
   for (std::size_t i = 0; i < _N1.size(); ++i)
     dalphar += _N1[i] * _j1[i] * MathUtils::pow(delta, _i1[i]) * std::pow(tau, _j1[i]);
  
   for (std::size_t i = 0; i < _N2.size(); ++i)
     dalphar += _N2[i] * _j2[i] * MathUtils::pow(delta, _i2[i]) * std::pow(tau, _j2[i]) *
                std::exp(-MathUtils::pow(delta, _l2[i]));
  
   for (std::size_t i = 0; i < _N3.size(); ++i)
     dalphar += _N3[i] * MathUtils::pow(delta, _i3[i]) * std::pow(tau, _j3[i]) *
                std::exp(-_phi3[i] * Utility::pow<2>(delta - 1.0) -
                         _beta3[i] * Utility::pow<2>(tau - _gamma3[i])) *
                (_j3[i] - 2.0 * tau * _beta3[i] * (tau - _gamma3[i]));
  
   // The Helmholtz free energy is the sum of these two
   return (dalpha0 + dalphar) / tau;
 }

◆ e_from_p_T() [1/2]

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

overridevirtualinherited

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_p_T() [2/2]

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

overridevirtualinherited

Definition at line 65 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 * temperature * tau * dalpha_dtau(delta, tau) / molarMass();
 }

Referenced by HelmholtzFluidProperties::e_from_p_T().

◆ 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 IdealGasFluidProperties, and StiffenedGasFluidProperties.

Definition at line 286 of file SinglePhaseFluidProperties.C.

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

Referenced by IdealRealGasMixtureFluidProperties::p_T_from_v_e(), and IdealRealGasMixtureFluidProperties::T_from_p_v().

◆ execute()

virtual void FluidProperties::execute ( )

inlinefinalvirtualinherited

Definition at line 34 of file FluidProperties.h.

34 {}

◆ finalize()

virtual void FluidProperties::finalize ( )

inlinefinalvirtualinherited

Definition at line 36 of file FluidProperties.h.

36 {}

◆ fluidName()

std::string NitrogenFluidProperties::fluidName ( ) const

overridevirtual

Definition at line 39 of file NitrogenFluidProperties.C.

 {
   return "nitrogen";
 }

◆ fluidPropError()

template<typename... Args>

void SinglePhaseFluidProperties::fluidPropError ( Args... args ) const

inlineprivateinherited

Definition at line 326 of file SinglePhaseFluidProperties.h.

   {
     if (_allow_imperfect_jacobians)
       mooseDoOnce(mooseWarning(std::forward<Args>(args)...));
     else
       mooseError(std::forward<Args>(args)...);
   }

Referenced by SinglePhaseFluidProperties::vaporPressure(), and SinglePhaseFluidProperties::vaporTemperature().

◆ h_from_p_T() [1/2]

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

overridevirtualinherited

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_p_T() [2/2]

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

overridevirtualinherited

Definition at line 185 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 * temperature * (tau * dalpha_dtau(delta, tau) + delta * dalpha_ddelta(delta, tau)) /
          molarMass();
 }

Referenced by HelmholtzFluidProperties::h_from_p_T().

◆ henryCoefficients()

std::vector< Real > NitrogenFluidProperties::henryCoefficients ( ) const

overridevirtual

Henry's law coefficients for dissolution in water.

Returns: Henry's constant coefficients

Reimplemented from SinglePhaseFluidProperties.

Definition at line 242 of file NitrogenFluidProperties.C.

 {
   return {-9.67578, 4.72162, 11.70585};
 }

◆ initialize()

virtual void FluidProperties::initialize ( )

inlinefinalvirtualinherited

Definition at line 35 of file FluidProperties.h.

35 {}

◆ k_from_p_T() [1/2]

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

overridevirtual

Definition at line 220 of file NitrogenFluidProperties.C.

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

Referenced by k_from_p_T().

◆ k_from_p_T() [2/2]

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

overridevirtual

Definition at line 228 of file NitrogenFluidProperties.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 NitrogenFluidProperties::k_from_rho_T	(	Real	density,
		Real	temperature
	)		const

overridevirtual

Definition at line 199 of file NitrogenFluidProperties.C.

 {
   // Scale the input density and temperature
   const Real delta = density / _rho_critical;
   const Real tau = _T_critical / temperature;
  
   // The dilute gas component
   const Real lambda0 =
       1.511 * mu_from_rho_T(0.0, temperature) * 1.0e6 + 2.117 / tau - 3.332 * std::pow(tau, -0.7);
  
   // The residual component
   Real lambdar = 0.0;
   for (std::size_t i = 0; i < _Nk.size(); ++i)
     lambdar += _Nk[i] * std::pow(tau, _tk[i]) * MathUtils::pow(delta, _dk[i]) *
                std::exp(-_gammak[i] * MathUtils::pow(delta, _lk[i]));
  
   // The thermal conductivity (note: critical enhancement not implemented)
   return (lambda0 + lambdar) * 1.0e-3;
 }

Referenced by k_from_p_T().

◆ molarMass()

Real NitrogenFluidProperties::molarMass ( ) const

overridevirtual

Fluid name.

Returns: string representing fluid name Molar mass [kg/mol]; molar mass

Reimplemented from SinglePhaseFluidProperties.

Definition at line 45 of file NitrogenFluidProperties.C.

 {
   return _Mn2;
 }

◆ mu_from_p_T() [1/2]

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

overridevirtual

Definition at line 153 of file NitrogenFluidProperties.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 NitrogenFluidProperties::mu_from_p_T	(	Real	pressure,
		Real	temperature,
		Real &	mu,
		Real &	dmu_dp,
		Real &	dmu_dT
	)		const

overridevirtual

Definition at line 161 of file NitrogenFluidProperties.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 NitrogenFluidProperties::mu_from_rho_T	(	Real	density,
		Real	temperature
	)		const

overridevirtual

Definition at line 81 of file NitrogenFluidProperties.C.

 {
   // Scale the input density and temperature
   const Real delta = density / _rho_critical;
   const Real tau = _T_critical / temperature;
   const Real logTstar = std::log(temperature / 98.94);
  
   // The dilute gas component
   Real logOmega = 0.0;
   for (std::size_t i = 0; i < _bmu.size(); ++i)
     logOmega += _bmu[i] * MathUtils::pow(logTstar, i);
  
   const Real mu0 =
       0.0266958 * std::sqrt(1000.0 * _Mn2 * temperature) / (0.3656 * 0.3656 * std::exp(logOmega));
  
   // The residual component
   Real mur = 0.0;
   for (std::size_t i = 0; i < _Nmu.size(); ++i)
     mur += _Nmu[i] * std::pow(tau, _tmu[i]) * MathUtils::pow(delta, _dmu[i]) *
            std::exp(-_gammamu[i] * MathUtils::pow(delta, _lmu[i]));
  
   // The viscosity in Pa.s
   return (mu0 + mur) * 1.0e-6;
 }

Referenced by k_from_rho_T(), mu_from_p_T(), and rho_mu_from_p_T().

◆ mu_from_rho_T() [2/2]

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

Definition at line 107 of file NitrogenFluidProperties.C.

 {
   // Scale the input density and temperature
   const Real delta = density / _rho_critical;
   const Real tau = _T_critical / temperature;
   const Real logTstar = std::log(temperature / 98.94);
  
   // The dilute gas component
   Real logOmega = 0.0, dlogOmega_dT = 0.0;
   for (std::size_t i = 0; i < _bmu.size(); ++i)
   {
     logOmega += _bmu[i] * MathUtils::pow(logTstar, i);
     dlogOmega_dT += i * _bmu[i] * MathUtils::pow(logTstar, i) / (temperature * logTstar);
   }
  
   const Real mu0 =
       0.0266958 * std::sqrt(1000.0 * _Mn2 * temperature) / (0.3656 * 0.3656 * std::exp(logOmega));
   const Real dmu0_dT = 26.6958 * _Mn2 * (1.0 - 2.0 * temperature * dlogOmega_dT) *
                        std::exp(-logOmega) /
                        (2.0 * std::sqrt(1000.0 * _Mn2 * temperature) * 0.3656 * 0.3656);
  
   // The residual component
   Real mur = 0.0, dmur_drho = 0.0, dmur_dT = 0.0;
   Real term;
   for (std::size_t i = 0; i < _Nmu.size(); ++i)
   {
     term = _Nmu[i] * std::pow(tau, _tmu[i]) * MathUtils::pow(delta, _dmu[i]) *
            std::exp(-_gammamu[i] * MathUtils::pow(delta, _lmu[i]));
     mur += term;
     dmur_drho += (_dmu[i] - _lmu[i] * _gammamu[i] * MathUtils::pow(delta, _lmu[i])) * term / delta /
                  _rho_molar_critical / (1000.0 * _Mn2);
     dmur_dT += -_tmu[i] * term / temperature;
   }
  
   // The viscosity in Pa.s
   mu = (mu0 + mur) * 1.0e-6;
   dmu_drho = dmur_drho * 1.0e-6;
   dmu_dT = (dmu0_dT + dmur_dT) * 1.0e-6 + dmu_drho * ddensity_dT;
 }

◆ 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.

 {
   // 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();
 }

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

◆ propfunc() [1/16]

e e e e p h T T SinglePhaseFluidProperties::propfunc	(	c	,
		p	,
		T
	)

inherited

◆ propfunc() [2/16]

e SinglePhaseFluidProperties::propfunc	(	c	,
		v	,
		e
	)

inherited

◆ propfunc() [3/16]

e e e e p h T T T SinglePhaseFluidProperties::propfunc	(	cv	,
		p	,
		T
	)

inherited

◆ propfunc() [4/16]

e e SinglePhaseFluidProperties::propfunc	(	cv	,
		v	,
		e
	)

inherited

◆ propfunc() [5/16]

e e e e p h T T T T T SinglePhaseFluidProperties::propfunc	(	e	,
		p	,
		rho
	)

inherited

◆ propfunc() [6/16]

e e e e p h T T T T T v v v s SinglePhaseFluidProperties::propfunc	(	g	,
		v	,
		e
	)

inherited

◆ propfunc() [7/16]

e e e e p h T T T T T v v v SinglePhaseFluidProperties::propfunc	(	h	,
		p	,
		T
	)

inherited

◆ propfunc() [8/16]

e e e e p h T T T T SinglePhaseFluidProperties::propfunc	(	k	,
		p	,
		T
	)

inherited

◆ propfunc() [9/16]

e e e SinglePhaseFluidProperties::propfunc	(	k	,
		v	,
		e
	)

inherited

◆ propfunc() [10/16]

e e e e p h T SinglePhaseFluidProperties::propfunc	(	mu	,
		rho	,
		T
	)

inherited

◆ propfunc() [11/16]

e e e e p h T T T T T v SinglePhaseFluidProperties::propfunc	(	p	,
		T	,
		v
	)

inherited

◆ propfunc() [12/16]

SinglePhaseFluidProperties::propfunc	(	p	,
		v	,
		e
	)

inherited

Compute a fluid property given for the state defined by two given properties.

For all functions, the first two arguments are the given properties that define the fluid state. For the two-argument variants, the desired property is the return value. The five-argument variants also provide partial derivatives dx/da and dx/db where x is the desired property being computed, a is the first given property, and b is the second given property. The desired property, dx/da, and dx/db are stored into the 3rd, 4th, and 5th arguments respectively.

Properties/parameters used in these function are listed below with their units:

@begincode p pressure [Pa] T temperature [K] e specific internal energy [J/kg] v specific volume [m^3/kg] rho density [kg/m^3] h specific enthalpy [J/kg] s specific entropy [J/(kg*K)] mu viscosity [Pa*s] k thermal conductivity [W/(m*K)] c speed of sound [m/s] cp constant-pressure specific heat [J/K] cv constant-volume specific heat [J/K] beta volumetric thermal expansion coefficient [1/K] g Gibbs free energy [J] pp_sat partial pressure at saturation [Pa] gamma Adiabatic ratio (cp/cv) [-]

As an example:

@begincode // calculate pressure given specific vol and energy: auto pressure = your_fluid_properties_object.p_from_v_e(specific_vol, specific_energy);

// or use the derivative variant: Real dp_dv = 0; // derivative will be stored into here Real dp_de = 0; // derivative will be stored into here your_fluid_properties_object.p_from_v_e(specific_vol, specific_energy, pressure, dp_dv, dp_de);

Automatic differentiation (AD) support is provided through x_from_a_b(DualReal a, DualReal b) and x_from_a_b(DualReal a, DualReal b, DualReal x, DualReal dx_da, DualReal dx_db) versions of the functions where a and b must be ADReal/DualNumber's calculated using all AD-supporting values:

@begincode auto v = 1/rho; // rho must be an AD non-linear variable. auto e = rhoE/rho - vel_energy; // rhoE and vel_energy must be AD variables/numbers also. auto pressure = your_fluid_properties_object.p_from_v_e(v, e); // pressure now contains partial derivatives w.r.t. all degrees of freedom

◆ propfunc() [13/16]

e e e e p SinglePhaseFluidProperties::propfunc	(	rho	,
		p	,
		s
	)

inherited

◆ propfunc() [14/16]

e e e e SinglePhaseFluidProperties::propfunc	(	s	,
		h	,
		p
	)

inherited

◆ propfunc() [15/16]

e e e e p h SinglePhaseFluidProperties::propfunc	(	s	,
		p	,
		T
	)

inherited

◆ propfunc() [16/16]

e e e e p h T T T T T v v SinglePhaseFluidProperties::propfunc	(	s	,
		T	,
		v
	)

inherited

◆ propfuncWithDefault() [1/2]

e e e e p h T T T T T v v v s h SinglePhaseFluidProperties::propfuncWithDefault	(	beta	,
		p	,
		T
	)

inherited

◆ propfuncWithDefault() [2/2]

e e e e p h T T T T T v v v s h T SinglePhaseFluidProperties::propfuncWithDefault	(	e	,
		p	,
		T
	)

inherited

◆ rho_e_from_p_T()

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

virtualinherited

Definition at line 242 of file SinglePhaseFluidProperties.C.

 {
   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_T() [1/2]

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

overridevirtualinherited

Reimplemented in CO2FluidProperties.

Definition at line 29 of file HelmholtzFluidProperties.C.

 {
   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;
 }

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(), k_from_p_T(), HydrogenFluidProperties::k_from_p_T(), mu_from_p_T(), CO2FluidProperties::mu_from_p_T(), HydrogenFluidProperties::mu_from_p_T(), HelmholtzFluidProperties::rho_from_p_T(), CO2FluidProperties::rho_from_p_T(), rho_mu_from_p_T(), HydrogenFluidProperties::rho_mu_from_p_T(), and HelmholtzFluidProperties::s_from_p_T().

◆ rho_from_p_T() [2/2]

void HelmholtzFluidProperties::rho_from_p_T	(	Real	pressure,
		Real	temperature,
		Real &	rho,
		Real &	drho_dp,
		Real &	drho_dT
	)		const

overridevirtualinherited

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_from_p_T() [1/3]

void SinglePhaseFluidProperties::rho_mu_from_p_T	(	const DualReal &	p,
		const DualReal &	T,
		DualReal &	rho,
		DualReal &	mu
	)		const

virtualinherited

Definition at line 277 of file SinglePhaseFluidProperties.C.

 {
   rho = rho_from_p_T(p, T);
   mu = mu_from_p_T(p, T);
 }

◆ rho_mu_from_p_T() [2/3]

void NitrogenFluidProperties::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

Reimplemented from SinglePhaseFluidProperties.

Definition at line 183 of file NitrogenFluidProperties.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;
 }

◆ rho_mu_from_p_T() [3/3]

void NitrogenFluidProperties::rho_mu_from_p_T	(	Real	p,
		Real	T,
		Real &	rho,
		Real &	mu
	)		const

overridevirtual

Combined methods.

These methods are particularly useful for the PorousFlow module, where density and viscosity are typically both computed everywhere. The combined methods allow the most efficient means of calculating both properties, especially where rho(p, T) and mu(rho, T). In this case, an extra density calculation would be required to calculate mu(p, T). All propery names are described above.

Reimplemented from SinglePhaseFluidProperties.

Definition at line 173 of file NitrogenFluidProperties.C.

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

◆ s_from_p_T() [1/2]

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

overridevirtualinherited

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_p_T() [2/2]

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

overridevirtualinherited

Definition at line 150 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 * dalpha_dtau(delta, tau) - alpha(delta, tau)) / molarMass();
 }

Referenced by HelmholtzFluidProperties::s_from_p_T().

◆ saturatedLiquidDensity()

Real NitrogenFluidProperties::saturatedLiquidDensity ( Real temperature ) const

Saturated liquid density of N2 Valid for temperatures between the triple point temperature and critical temperature.

Eq. (5), from Span et al (reference above)

Parameters

temperature N2 temperature (K)

Returns: saturated liquid density (kg/m^3)

Definition at line 271 of file NitrogenFluidProperties.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 =
       1.48654237 * std::pow(theta, 0.3294) - 0.280476066 * std::pow(theta, 2.0 / 3.0) +
       0.0894143085 * std::pow(theta, 8.0 / 3.0) - 0.119879866 * std::pow(theta, 35.0 / 6.0);
  
   return _rho_critical * std::exp(logpressure);
 }

◆ saturatedVaporDensity()

Real NitrogenFluidProperties::saturatedVaporDensity ( Real temperature ) const

Saturated vapor density of N2 Valid for temperatures between the triple point temperature and critical temperature.

Eq. (6), from Span et al (reference above)

Parameters

temperature N2 temperature (K)

Returns: saturated vapor density (kg/m^3)

Definition at line 287 of file NitrogenFluidProperties.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 =
       (-1.70127164 * std::pow(theta, 0.34) - 3.70402649 * std::pow(theta, 5.0 / 6.0) +
        1.29859383 * std::pow(theta, 7.0 / 6.0) - 0.561424977 * std::pow(theta, 13.0 / 6.0) -
        2.68505381 * std::pow(theta, 14.0 / 3.0)) /
       Tr;
  
   return _rho_critical * std::exp(logpressure);
 }

◆ subdomainSetup()

virtual void FluidProperties::subdomainSetup ( )

inlinefinalvirtualinherited

Definition at line 39 of file FluidProperties.h.

39 {}

◆ threadJoin()

virtual void FluidProperties::threadJoin ( const UserObject & )

inlinefinalvirtualinherited

Definition at line 38 of file FluidProperties.h.

38 {}

◆ triplePointPressure()

Real NitrogenFluidProperties::triplePointPressure ( ) const

overridevirtual

Triple point pressure.

Returns: triple point pressure (Pa)

Reimplemented from SinglePhaseFluidProperties.

Definition at line 69 of file NitrogenFluidProperties.C.

 {
   return _p_triple;
 }

◆ triplePointTemperature()

Real NitrogenFluidProperties::triplePointTemperature ( ) const

overridevirtual

Triple point temperature.

Returns: triple point temperature (K)

Reimplemented from SinglePhaseFluidProperties.

Definition at line 75 of file NitrogenFluidProperties.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 IdealGasFluidProperties, and StiffenedGasFluidProperties.

Definition at line 292 of file SinglePhaseFluidProperties.C.

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

Referenced by IdealRealGasMixtureFluidProperties::v_from_p_T().

◆ vaporPressure() [1/3]

DualReal SinglePhaseFluidProperties::vaporPressure ( const DualReal & T ) const

inherited

Definition at line 198 of file SinglePhaseFluidProperties.C.

 {
   Real p = 0.0;
   Real temperature = T.value();
   Real dpdT = 0.0;
  
   vaporPressure(temperature, p, dpdT);
  
   DualReal result = p;
   result.derivatives() = T.derivatives() * dpdT;
  
   return result;
 }

◆ vaporPressure() [2/3]

Real NitrogenFluidProperties::vaporPressure ( Real T ) const

overridevirtual

Vapor pressure.

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

Parameters

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

Reimplemented from SinglePhaseFluidProperties.

Definition at line 248 of file NitrogenFluidProperties.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 =
       (-6.12445284 * theta + 1.2632722 * std::pow(theta, 1.5) - 0.765910082 * std::pow(theta, 2.5) -
        1.77570564 * Utility::pow<5>(theta)) /
       Tr;
  
   return _p_critical * std::exp(logpressure);
 }

◆ vaporPressure() [3/3]

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

overridevirtual

Reimplemented from SinglePhaseFluidProperties.

Definition at line 265 of file NitrogenFluidProperties.C.

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

◆ vaporTemperature() [1/3]

DualReal SinglePhaseFluidProperties::vaporTemperature ( const DualReal & p ) const

inherited

Definition at line 227 of file SinglePhaseFluidProperties.C.

 {
   Real T = 0.0;
   Real pressure = p.value();
   Real dTdp = 0.0;
  
   vaporTemperature(pressure, T, dTdp);
  
   DualReal result = T;
   result.derivatives() = p.derivatives() * dTdp;
  
   return result;
 }

◆ vaporTemperature() [2/3]

Real SinglePhaseFluidProperties::vaporTemperature ( Real p ) const

virtualinherited

Vapor temperature.

Used to delineate liquid and gas phases. Valid for pressures between the triple point pressure and the critical pressure

Parameters

	p	fluid pressure (Pa)
[out]	saturation	temperature (K)
[out]	derivative	of saturation temperature wrt pressure

Reimplemented in Water97FluidProperties.

Definition at line 212 of file SinglePhaseFluidProperties.C.

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

Referenced by PorousFlowWaterVapor::thermophysicalProperties(), and SinglePhaseFluidProperties::vaporTemperature().

◆ vaporTemperature() [3/3]

void SinglePhaseFluidProperties::vaporTemperature	(	Real	p,
		Real &	Tsat,
		Real &	dTsat_dp
	)		const

virtualinherited

Reimplemented in Water97FluidProperties.

Definition at line 218 of file SinglePhaseFluidProperties.C.

 {
   fluidPropError(name(), ": ", __PRETTY_FUNCTION__, " derivatives not implemented.");
  
   dT_dp = 0.0;
   T = vaporTemperature(p);
 }

Member Data Documentation

◆ _a

const std::array<Real, 8> NitrogenFluidProperties::_a

protected

Initial value:

{{2.5,
                                -12.76952708,
                                -0.00784163,
                                -1.934819e-4,
                                -1.247742e-5,
                                6.678326e-8,
                                1.012941,
                                26.65788}}

Coefficients for ideal gas component of the Helmholtz free energy.

Definition at line 149 of file NitrogenFluidProperties.h.

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

◆ _allow_imperfect_jacobians

const bool FluidProperties::_allow_imperfect_jacobians

protectedinherited

Flag to set unimplemented Jacobian entries to zero.

Definition at line 48 of file FluidProperties.h.

Referenced by SinglePhaseFluidProperties::fluidPropError().

◆ _beta3

const std::array<Real, 4> NitrogenFluidProperties::_beta3 {{325.0, 325.0, 300.0, 275.0}}

protected

Definition at line 189 of file NitrogenFluidProperties.h.

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

◆ _bmu

const std::array<Real, 5> NitrogenFluidProperties::_bmu {{0.431, -0.4623, 0.08406, 0.005341, -0.00331}}

protected

Coefficients for viscosity.

Definition at line 193 of file NitrogenFluidProperties.h.

Referenced by mu_from_rho_T().

◆ _dk

const std::array<unsigned int, 6> NitrogenFluidProperties::_dk {{1, 2, 3, 4, 8, 10}}

protected

Definition at line 203 of file NitrogenFluidProperties.h.

Referenced by k_from_rho_T().

◆ _dmu

const std::array<Real, 5> NitrogenFluidProperties::_dmu {{2, 10, 12, 2, 1}}

protected

Definition at line 196 of file NitrogenFluidProperties.h.

Referenced by mu_from_rho_T().

◆ _gamma3

const std::array<Real, 4> NitrogenFluidProperties::_gamma3 {{1.16, 1.16, 1.13, 1.25}}

protected

Definition at line 190 of file NitrogenFluidProperties.h.

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

◆ _gammak

const std::array<Real, 6> NitrogenFluidProperties::_gammak {{0.0, 0.0, 1.0, 1.0, 1.0}}

protected

Definition at line 205 of file NitrogenFluidProperties.h.

Referenced by k_from_rho_T().

◆ _gammamu

const std::array<Real, 5> NitrogenFluidProperties::_gammamu {{0.0, 1.0, 1.0, 1.0, 1.0}}

protected

Definition at line 198 of file NitrogenFluidProperties.h.

Referenced by mu_from_rho_T().

◆ _i1

const std::array<unsigned int, 6> NitrogenFluidProperties::_i1 {{1, 1, 2, 2, 3, 3}}

protected

Definition at line 164 of file NitrogenFluidProperties.h.

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

◆ _i2

const std::array<unsigned int, 26> NitrogenFluidProperties::_i2

protected

Initial value:

{

{1, 1, 1, 3, 3, 4, 6, 6, 7, 7, 8, 8, 1, 2, 3, 4, 5, 8, 4, 5, 5, 8, 3, 5, 6, 9}}

Definition at line 175 of file NitrogenFluidProperties.h.

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

◆ _i3

const std::array<unsigned int, 4> NitrogenFluidProperties::_i3 {{1, 1, 3, 2}}

protected

Definition at line 185 of file NitrogenFluidProperties.h.

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

◆ _j1

const std::array<Real, 6> NitrogenFluidProperties::_j1 {{0.25, 0.875, 0.5, 0.875, 0.375, 0.75}}

protected

Definition at line 165 of file NitrogenFluidProperties.h.

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

◆ _j2

const std::array<Real, 26> NitrogenFluidProperties::_j2

protected

Initial value:

{{0.5,  0.75, 2.0,  1.25, 3.5,  1.0, 0.5, 3.0, 0.0,
                                  2.75, 0.75, 2.5,  4.0,  6.0,  6.0, 3.0, 3.0, 6.0,
                                  16.0, 11.0, 15.0, 12.0, 12.0, 7.0, 4.0, 16.0}}

Definition at line 177 of file NitrogenFluidProperties.h.

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

◆ _j3

const std::array<unsigned int, 4> NitrogenFluidProperties::_j3 {{0, 1, 2, 3}}

protected

Definition at line 186 of file NitrogenFluidProperties.h.

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

◆ _l2

const std::array<unsigned int, 26> NitrogenFluidProperties::_l2

protected

Initial value:

{

{1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 4, 4, 4, 4}}

Definition at line 180 of file NitrogenFluidProperties.h.

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

◆ _l3

const std::array<unsigned int, 4> NitrogenFluidProperties::_l3 {{2, 2, 2, 2}}

protected

Definition at line 187 of file NitrogenFluidProperties.h.

◆ _lk

const std::array<unsigned int, 6> NitrogenFluidProperties::_lk {{0, 0, 1, 2, 2, 2}}

protected

Definition at line 204 of file NitrogenFluidProperties.h.

Referenced by k_from_rho_T().

◆ _lmu

const std::array<Real, 5> NitrogenFluidProperties::_lmu {{0, 1, 1, 2, 3}}

protected

Definition at line 197 of file NitrogenFluidProperties.h.

Referenced by mu_from_rho_T().

◆ _Mn2

const Real NitrogenFluidProperties::_Mn2

protected

Nitrogen molar mass (kg/mol)

Definition at line 134 of file NitrogenFluidProperties.h.

Referenced by molarMass(), and mu_from_rho_T().

◆ _N1

const std::array<Real, 6> NitrogenFluidProperties::_N1

protected

Initial value:

{{0.924803575275,
                                 -0.492448489428,
                                 0.661883336938,
                                 -0.192902649201e1,
                                 -0.622469309629e-1,
                                 0.349943957581}}

Coefficients for residual component of the Helmholtz free energy.

Definition at line 158 of file NitrogenFluidProperties.h.

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

◆ _N2

const std::array<Real, 26> NitrogenFluidProperties::_N2

protected

Initial value:

{
      {0.564857472498,     -0.161720005987e1,  -0.481395031883,    0.421150636384,
       -0.161962230825e-1, 0.172100994165,     0.735448924933e-2,  0.168077305479e-1,
       -0.107626664179e-2, -0.137318088513e-1, 0.635466899859e-3,  0.304432279419e-2,
       -0.435762336045e-1, -0.723174889316e-1, 0.389644315272e-1,  -0.21220136391e-1,
       0.4808822981509e-2, -0.551990017984e-4, -0.462016716479e-1, -0.300311716011e-2,
       0.368825891208e-1,  -0.25585684622e-2,  0.896915264558e-2,  -0.44151337035e-2,
       0.133722924858e-2,  0.264832491957e-3}}

Definition at line 167 of file NitrogenFluidProperties.h.

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

◆ _N3

const std::array<Real, 4> NitrogenFluidProperties::_N3

protected

Initial value:

{

{0.196688194015e2, -0.20911560073e2, 0.167788306989e-1, 0.262767566274e4}}

Definition at line 183 of file NitrogenFluidProperties.h.

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

◆ _Nk

const std::array<Real, 6> NitrogenFluidProperties::_Nk {{8.862, 31.11, -73.13, 20.03, -0.7096, 0.2672}}

protected

Coefficients for thermal conductivity.

Definition at line 201 of file NitrogenFluidProperties.h.

Referenced by k_from_rho_T().

◆ _Nmu

const std::array<Real, 5> NitrogenFluidProperties::_Nmu {{10.72, 0.03989, 0.001208, -7.402, 4.62}}

protected

Definition at line 194 of file NitrogenFluidProperties.h.

Referenced by mu_from_rho_T().

◆ _p_critical

const Real NitrogenFluidProperties::_p_critical

protected

Critical pressure (Pa)

Definition at line 136 of file NitrogenFluidProperties.h.

Referenced by criticalPressure(), and vaporPressure().

◆ _p_triple

const Real NitrogenFluidProperties::_p_triple

protected

Triple point pressure (Pa)

Definition at line 144 of file NitrogenFluidProperties.h.

Referenced by triplePointPressure().

◆ _phi3

const std::array<Real, 4> NitrogenFluidProperties::_phi3 {{20.0, 20.0, 15.0, 25.0}}

protected

Definition at line 188 of file NitrogenFluidProperties.h.

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

◆ _R

const Real FluidProperties::_R = 8.3144598

staticinherited

Universal gas constant (J/mol/K)

Definition at line 42 of file FluidProperties.h.

Referenced by HelmholtzFluidProperties::c_from_p_T(), IdealGasFluidProperties::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(), IdealGasFluidProperties::rho_from_p_T(), and HelmholtzFluidProperties::s_from_p_T().

◆ _rho_critical

const Real NitrogenFluidProperties::_rho_critical

protected

Critical density (kg/m^3)

Definition at line 142 of file NitrogenFluidProperties.h.

Referenced by criticalDensity(), k_from_rho_T(), mu_from_rho_T(), saturatedLiquidDensity(), and saturatedVaporDensity().

◆ _rho_molar_critical

const Real NitrogenFluidProperties::_rho_molar_critical

protected

Critical molar density (mol/l)

Definition at line 140 of file NitrogenFluidProperties.h.

Referenced by mu_from_rho_T().

◆ _T_c2k

const Real FluidProperties::_T_c2k

protectedinherited

Conversion of temperature from Celsius to Kelvin.

Definition at line 46 of file FluidProperties.h.

Referenced by NaClFluidProperties::cp_from_p_T(), BrineFluidProperties::cp_from_p_T_X(), NaClFluidProperties::h_from_p_T(), BrineFluidProperties::h_from_p_T_X(), BrineFluidProperties::haliteSolubility(), NaClFluidProperties::k_from_p_T(), BrineFluidProperties::k_from_p_T_X(), BrineFluidProperties::mu_from_p_T_X(), CO2FluidProperties::partialDensity(), NaClFluidProperties::rho_from_p_T(), and BrineFluidProperties::rho_from_p_T_X().

◆ _T_critical

const Real NitrogenFluidProperties::_T_critical

protected

Critical temperature (K)

Definition at line 138 of file NitrogenFluidProperties.h.

Referenced by criticalTemperature(), k_from_rho_T(), mu_from_rho_T(), saturatedLiquidDensity(), saturatedVaporDensity(), and vaporPressure().

◆ _T_triple

const Real NitrogenFluidProperties::_T_triple

protected

Triple point temperature (K)

Definition at line 146 of file NitrogenFluidProperties.h.

Referenced by triplePointTemperature().

◆ _tk

const std::array<Real, 6> NitrogenFluidProperties::_tk {{0.0, 0.03, 0.2, 0.8, 0.6, 1.9}}

protected

Definition at line 202 of file NitrogenFluidProperties.h.

Referenced by k_from_rho_T().

◆ _tmu

const std::array<Real, 5> NitrogenFluidProperties::_tmu {{0.1, 0.25, 3.2, 0.9, 0.3}}

protected

Definition at line 195 of file NitrogenFluidProperties.h.

Referenced by mu_from_rho_T().

◆ h [1/2]

e e e e SinglePhaseFluidProperties::h

inherited

Definition at line 163 of file SinglePhaseFluidProperties.h.

◆ h [2/2]

e e e e p h T T T T T v v v SinglePhaseFluidProperties::h

inherited

Definition at line 183 of file SinglePhaseFluidProperties.h.

◆ p [1/6]

e e e e p h SinglePhaseFluidProperties::p

inherited

Definition at line 167 of file SinglePhaseFluidProperties.h.

◆ p [2/6]

e e e e p h T T SinglePhaseFluidProperties::p

inherited

Definition at line 171 of file SinglePhaseFluidProperties.h.

◆ p [3/6]

e e e e p h T T T SinglePhaseFluidProperties::p

inherited

Definition at line 173 of file SinglePhaseFluidProperties.h.

◆ p [4/6]

e e e e p h T T T T SinglePhaseFluidProperties::p

inherited

Definition at line 175 of file SinglePhaseFluidProperties.h.

◆ p [5/6]

e e e e p h T T T T T v v v s SinglePhaseFluidProperties::p

inherited

Definition at line 185 of file SinglePhaseFluidProperties.h.

◆ p [6/6]

e e e e p h T T T T T v v v s h SinglePhaseFluidProperties::p

inherited

Definition at line 187 of file SinglePhaseFluidProperties.h.

◆ propfuncWithDefault

e e e e p h T T T T T v v v s h T e SinglePhaseFluidProperties::propfuncWithDefault(gamma, p, T)

inherited

Definition at line 190 of file SinglePhaseFluidProperties.h.

◆ rho

e e e e p h T SinglePhaseFluidProperties::rho

inherited

Definition at line 169 of file SinglePhaseFluidProperties.h.

◆ T [1/3]

e e e e p h T T T T T SinglePhaseFluidProperties::T

inherited

Definition at line 177 of file SinglePhaseFluidProperties.h.

◆ T [2/3]

e e e e p h T T T T T v SinglePhaseFluidProperties::T

inherited

Definition at line 179 of file SinglePhaseFluidProperties.h.

◆ T [3/3]

e e e e p h T T T T T v v SinglePhaseFluidProperties::T

inherited

Definition at line 181 of file SinglePhaseFluidProperties.h.

◆ v [1/6]

SinglePhaseFluidProperties::v

inherited

Definition at line 155 of file SinglePhaseFluidProperties.h.

◆ v [2/6]

e SinglePhaseFluidProperties::v

inherited

Definition at line 157 of file SinglePhaseFluidProperties.h.

◆ v [3/6]

e e SinglePhaseFluidProperties::v

inherited

Definition at line 159 of file SinglePhaseFluidProperties.h.

◆ v [4/6]

e e e SinglePhaseFluidProperties::v

inherited

Definition at line 161 of file SinglePhaseFluidProperties.h.

◆ v [5/6]

e e e e p SinglePhaseFluidProperties::v

inherited

Definition at line 165 of file SinglePhaseFluidProperties.h.

◆ v [6/6]

e e e e p h T T T T T v v v s h T SinglePhaseFluidProperties::v

inherited

Definition at line 189 of file SinglePhaseFluidProperties.h.

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

fluid_properties/include/userobjects/NitrogenFluidProperties.h
fluid_properties/src/userobjects/NitrogenFluidProperties.C

Public Member Functions

Static Public Attributes

Protected Member Functions

Protected Attributes

Private Member Functions

Detailed Description

Constructor & Destructor Documentation

◆ NitrogenFluidProperties()

Member Function Documentation

◆ alpha()

◆ c_from_p_T()

◆ cp_from_p_T()

◆ criticalDensity()

◆ criticalInternalEnergy()

◆ criticalPressure()

◆ criticalTemperature()

◆ cv_from_p_T()

◆ d2alpha_ddelta2()

◆ d2alpha_ddeltatau()

◆ d2alpha_dtau2()

◆ dalpha_ddelta()

◆ dalpha_dtau()

◆ e_from_p_T() [1/2]

◆ e_from_p_T() [2/2]

◆ e_spndl_from_v()

◆ execute()

◆ finalize()

◆ fluidName()

◆ fluidPropError()

◆ h_from_p_T() [1/2]

◆ h_from_p_T() [2/2]

◆ henryCoefficients()

◆ initialize()

◆ k_from_p_T() [1/2]

◆ k_from_p_T() [2/2]

◆ k_from_rho_T()

◆ molarMass()

◆ mu_from_p_T() [1/2]

◆ mu_from_p_T() [2/2]

◆ mu_from_rho_T() [1/2]

◆ mu_from_rho_T() [2/2]

◆ p_from_rho_T()

◆ propfunc() [1/16]

◆ propfunc() [2/16]

◆ propfunc() [3/16]

◆ propfunc() [4/16]

◆ propfunc() [5/16]

◆ propfunc() [6/16]

◆ propfunc() [7/16]

◆ propfunc() [8/16]

◆ propfunc() [9/16]

◆ propfunc() [10/16]

◆ propfunc() [11/16]

◆ propfunc() [12/16]

◆ propfunc() [13/16]

◆ propfunc() [14/16]

◆ propfunc() [15/16]

◆ propfunc() [16/16]

◆ propfuncWithDefault() [1/2]

◆ propfuncWithDefault() [2/2]

◆ rho_e_from_p_T()

◆ rho_from_p_T() [1/2]

◆ rho_from_p_T() [2/2]

◆ rho_mu_from_p_T() [1/3]

◆ rho_mu_from_p_T() [2/3]

◆ rho_mu_from_p_T() [3/3]

◆ s_from_p_T() [1/2]

◆ s_from_p_T() [2/2]

◆ saturatedLiquidDensity()

◆ saturatedVaporDensity()

◆ subdomainSetup()

◆ threadJoin()

◆ triplePointPressure()

◆ triplePointTemperature()

◆ v_e_spndl_from_T()

◆ vaporPressure() [1/3]

◆ vaporPressure() [2/3]

◆ vaporPressure() [3/3]

◆ vaporTemperature() [1/3]

◆ vaporTemperature() [2/3]