Nonisothermal

An energy equation adaptor for isothermal free-flow models. More...

Description

A single-phase, non-isothermal free-flow model.

In addition to the momentum and mass/mole balance equations, this model also solves the energy balance equation :

\[ \frac{\partial (\varrho u)}{\partial t} + \nabla \cdot \left( \varrho h {\mathbf{v}} - \lambda_\text{eff} \nabla T \right) - q^h = 0 \]

where:

• \( \varrho \) is the fluid density (in \( \mathrm{kg}\,\mathrm{m}^{-3} \)),
• \( u \) is the fluid's specific internal energy (in \( \mathrm{J}\,\mathrm{kg}^{-1} \)),
• \( h \) is the fluid's specific enthalpy (in \( \mathrm{J}\,\mathrm{kg}^{-1} \)),
• \( \mathbf{v} \) is the fluid velocity (in \( \mathrm{m}\,\mathrm{s}^{-1} \)),
• \( \lambda_\text{eff} \) is the effective thermal conductivity (in \( \mathrm{W}\,\mathrm{m}^{-1}\,\mathrm{K}^{-1} \)),
• \( T \) is the temperature (in K),
• \( q^h \) is a volume-specific source or sink term for the energy (in \( \mathrm{W}\,\mathrm{m}^{-3} \)).

For laminar Navier-Stokes flow the effective thermal conductivity is the fluid thermal conductivity: \( \lambda_\text{eff} = \lambda \).

For turbulent Reynolds-averaged Navier-Stokes flow the eddy thermal conductivity is added: \( \lambda_\text{eff} = \lambda + \lambda_\text{t} \). The eddy thermal conductivity \( \lambda_\text{t} \) is related to the eddy viscosity \( \nu_\text{t} \) by the turbulent Prandtl number:

\[ \lambda_\text{t} = \frac{\nu_\text{t} \varrho c_\text{p}}{\mathrm{Pr}_\text{t}} \]

Classes
class	Dumux::NavierStokesEnergyIndices< IsothermalIndices, numEq >
	Indices for the non-isothermal Navier-Stokes model. More...
struct	Dumux::NavierStokesEnergyIOFields< IsothermalIOFields >
	Adds I/O fields specific to non-isothermal free-flow models. More...
struct	Dumux::NavierStokesEnergyModelTraits< IsothermalT >
	Specifies a number properties of non-isothermal free-flow flow models based on the specifics of a given isothermal model. More...
class	Dumux::NavierStokesEnergyVolumeVariables< Traits, Impl >
	The isothermal base class. More...

Files
file	freeflow/navierstokes/energy/indices.hh
file	freeflow/navierstokes/energy/iofields.hh
file	freeflow/navierstokes/energy/model.hh
	A single-phase, non-isothermal free-flow model.
file	freeflow/navierstokes/energy/volumevariables.hh
	Base class for the model specific class which provides access to all volume averaged quantities.