freeflow/nonisothermal/model.hh File Reference

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

#include <string>
#include "indices.hh"

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Description

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

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

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
struct	Dumux::FreeflowNIModelTraits< IsothermalTraits >
	Specifies a number properties of non-isothermal free-flow flow models based on the specifics of a given isothermal model. More...

Namespaces
namespace	Dumux

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