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fourierslawnonequilibrium.hh File Reference

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

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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.