2. Modeling transfer phenomena

The mathematical models used to describe heat transfer in porous media are directly inspired by the methods traditionally used in continuum mechanics to find local expressions for conservation laws.

Due to the geometric complexity of pore space and the multiscale aspect characterized by inequality (7) , however, this approach can only be put into practice after a change of scale, the essential step of which involves defining a level of description (at a r ₀ scale) that enables equivalence to be established between the real dispersed medium and a fictitious continuous medium. In contrast to the pore or...