Abstract
The aim of this paper is to summarize ten years of work in order to model the drying of solids. Nowadays there is a general agreement amongst the various researchers worldwide. If the porous medium is viewed at the so-called “macroscopic” scale (that is to say when it is viewed as a continuous and homogeneous equivalent medium) a set of three partial derivative equations is derived, three state variables being necessary to thermodynamically describe the medium (temperature, moisture content and total pressure in the gaseous phase for example). After a short historical survey of the modeling of drying, we want to obtain this set of equations drawing the readers attention to three particular points : the importance of the air mass balance, the right way to write the energy equation (and the associated boundary conditions) and the taking into account of the adsorbed water. A second part of this article [I] will be devoted to the numerical solution of this problem and will illustrate these points.

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