Local heat transfer of compressible fluid in porous media: application to the HBC fuse

We propose a new model to describe compressible fluid flows in porous media introducing a microscopic thermal model to evaluate the local thermal evolution of the solid phase. Gas flow in porous media is governed by the homogenized Euler equations. We first introduce the classical non-equilibrium thermal model where the porous medium thermal distribution is driven by the heat equation. We then present the new thermal modelling introducing a characterization of the depth of the porous medium deepness. To compare the models, we have performed two critical tests: the heat exchanger and the explosion. We show that both the models agree in the first test but differ in the second case.