A new method is given for mathematical modeling of the coupled heat and mass transfer through porous media. The behavior of the moisture level function in the vicinity of the critical value of the conductivity probability is discussed, at general initial-, and boundary conditions. Instead of the usually applied two coupled partial differential equations of parabolic type, a coupled system of hyperbolic partial differential equations containing also explicitly the relaxation time constants is used. A general solution is presented for the moisture level function, when the relaxation time constant relevant for temperature changes tends to value zero. This description is combined with scaling relations following from the contemporary statistical physical theory of percolation phenomena.
ASJC Scopus subject areas
- Chemical Engineering(all)
- Physical and Theoretical Chemistry