Mathematical modeling of the simultaneous convection–anomalous diffusion processes in porous media

ABSTRACT

After a brief overview of most important general features of the nonclassical diffusion on the base of the extended irreversible thermodynamics, the relevant mathematical formulae are incorporated into general formalism of the simultaneous convection–diffusion processes taking place in porous media. Then, using the simplest variant of the convection–diffusion equation, novel-type analytic solutions are derived for transport processes with both subdiffusion and superdiffusion characters in Lagrangian representation.

KEYWORDS:

• Anomalous diffusion
• convection
• drying
• symbolic computation