freeflow/nonisothermal/model.hh File Reference

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

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

Go to the source code of this file.

Description

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

$$\frac{\partial (\varrho u)}{\partial t}+\mathrm{\nabla }\cdot (\varrho h\mathit{v}-{\lambda }_{\text{eff}}\mathrm{\nabla }T)-q_T=0$$

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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