version 3.10.0
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Energy equation for the solid (general heat equation). More...

Description

The energy balance equation for a porous solid.

The energy balance is described by the following equation:

\[ \frac{ \partial (n c_p \varrho T)}{\partial t} - \nabla \cdot \left\lbrace \lambda_\text{pm} \nabla T \right\rbrace = q, \]

where:

  • \( n \) represents volume fraction of the conducting material,
  • \( c_p \) is the specific heat capacity at constant pressure,
  • \( \varrho \) is the mass density,
  • \( \lambda_\text{pm} \) is the effective heat conductivity in the porous medium,
  • \( T \) is the temperature,
  • \( q \) is the heat source term.

Files

file  localresidual.hh
 Element-wise calculation of the residual.
file  model.hh
 The energy balance equation for a porous solid.
file  volumevariables.hh
 Class for computation of all volume averaged quantities.

Classes

class  Dumux::SolidEnergyLocalResidual< TypeTag >
 Element-wise calculation of the residual. More...
struct  Dumux::SolidEnergyIndices
 The indices. More...
struct  Dumux::SolidEnergyModelTraits
 The energy balance equation for a porous solid. More...
struct  Dumux::SolidEnergyVolumeVariablesTraits< PV, SSY, SST, MT >
 The volume variable traits. More...
class  Dumux::SolidEnergyVolumeVariables< Traits >
 Class for computation of all volume averaged quantities. More...