fourierslawnonequilibrium.hh File Reference

Diffusive heat flux according to non-equilibrium Fourier's law. More...

#include <dumux/flux/fourierslawnonequilibrium_fwd.hh>
#include <dumux/flux/cctpfa/fourierslawnonequilibrium.hh>
#include <dumux/flux/box/fourierslawnonequilibrium.hh>

Go to the source code of this file.

Description

Diffusive heat flux according to non-equilibrium Fourier's law.

This law is based on the general form of Fourier's law which describes the diffusive heat flux as proportional to a temperature gradient $\textbf{grad}\, T_\alpha$. In contrast to the general form, a local thermodynamic equilibrium is not assumed. Thus, the heat flux for the different phases $\alpha$ needs to be solved.

$$\textbf{j}_{heat,\alpha} = - \lambda_\alpha \; \textbf{grad}\, T_\alpha$$

With $\lambda_\alpha$ as the thermal conductivity for either a solid, liquid or gaseous phase.

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