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

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 :

$$\frac{\partial (\varrho v)}{\partial t} + \nabla \cdot \left( \varrho h {\boldsymbol{v}} - \lambda_\text{eff} \textbf{grad}\, T \right) - q_T = 0$$

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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