HeatTransferModels Namespace Reference

Functions
template<typename T1 , typename T2 , typename T3 >
auto	cylindricalThermalConductance (const T1 &k, const T2 &r_inner, const T3 &r_outer)
	Computes the thermal conductance across a cylindrical medium.
template<typename T1 , typename T2 , typename T3 , typename T4 , typename T5 >
auto	cylindricalGapConductionHeatFlux (const T1 &k_gap, const T2 &r_inner, const T3 &r_outer, const T4 &T_inner, const T5 &T_outer)
	Computes the conduction heat flux across a cylindrical gap.
template<typename T1 , typename T2 , typename T3 , typename T4 , typename T5 , typename T6 >
auto	cylindricalGapRadiationHeatFlux (const T1 &r_inner, const T2 &r_outer, const T3 &emiss_inner, const T4 &emiss_outer, const T5 &T_inner, const T6 &T_outer, const Real &sigma=HeatConduction::Constants::sigma)
	Computes the radiation heat flux across a cylindrical gap.

Function Documentation

cylindricalGapConductionHeatFlux()

template<typename T1 , typename T2 , typename T3 , typename T4 , typename T5 >

auto HeatTransferModels::cylindricalGapConductionHeatFlux	(	const T1 &	k_gap,
		const T2 &	r_inner,
		const T3 &	r_outer,
		const T4 &	T_inner,
		const T5 &	T_outer
	)

Computes the conduction heat flux across a cylindrical gap.

The convention is that positive heat fluxes correspond to heat moving from the inner surface to the outer surface.

Parameters

[in]	k_gap	Gap thermal conductivity
[in]	r_inner	Inner radius
[in]	r_outer	Outer radius
[in]	T_inner	Inner temperature
[in]	T_outer	Outer temperature

Definition at line 51 of file HeatTransferModels.h.

{
  return cylindricalThermalConductance(k_gap, r_inner, r_outer) * (T_inner - T_outer);
}

Referenced by CylindricalGapHeatFluxFunctorMaterialTempl< is_ad >::CylindricalGapHeatFluxFunctorMaterialTempl(), and HSCoupler2D3DUserObject::execute().

cylindricalGapRadiationHeatFlux()

template<typename T1 , typename T2 , typename T3 , typename T4 , typename T5 , typename T6 >

auto HeatTransferModels::cylindricalGapRadiationHeatFlux	(	const T1 &	r_inner,
		const T2 &	r_outer,
		const T3 &	emiss_inner,
		const T4 &	emiss_outer,
		const T5 &	T_inner,
		const T6 &	T_outer,
		const Real &	sigma = HeatConduction::Constants::sigma
	)

Computes the radiation heat flux across a cylindrical gap.

The convention is that positive heat fluxes correspond to heat moving from the inner surface to the outer surface.

Parameters

[in]	r_inner	Inner radius
[in]	r_outer	Outer radius
[in]	emiss_inner	Inner emissivity
[in]	emiss_outer	Outer emissivity
[in]	T_inner	Inner temperature
[in]	T_outer	Outer temperature
[in]	sigma	The Stefan-Boltzmann constant

Definition at line 76 of file HeatTransferModels.h.

{
  mooseAssert(r_outer > r_inner, "Outer radius must be larger than inner radius.");
  using std::pow;
 
  const auto rad_resistance =
      1.0 / emiss_inner + r_inner / r_outer * (1.0 - emiss_outer) / emiss_outer;
  return sigma * (pow(T_inner, 4) - pow(T_outer, 4)) / rad_resistance;
}

Referenced by CylindricalGapHeatFluxFunctorMaterialTempl< is_ad >::CylindricalGapHeatFluxFunctorMaterialTempl(), and HSCoupler2D3DUserObject::execute().

cylindricalThermalConductance()

template<typename T1 , typename T2 , typename T3 >

auto HeatTransferModels::cylindricalThermalConductance	(	const T1 &	k,
		const T2 &	r_inner,
		const T3 &	r_outer
	)

Computes the thermal conductance across a cylindrical medium.

Note that thermal conductance has the same units as a heat transfer coefficient.

Parameters

[in]	k	Thermal conductivity of the medium
[in]	r_inner	Inner radius
[in]	r_outer	Outer radius

Definition at line 28 of file HeatTransferModels.h.

{
  mooseAssert(r_outer > r_inner, "Outer radius must be larger than inner radius.");
  using std::log;
 
  const auto r_avg = 0.5 * (r_inner + r_outer);
  return k / (r_avg * log(r_outer / r_inner));
}

Referenced by cylindricalGapConductionHeatFlux().