Modelling of the simultaneous convection-diffusion process through porous media with percolative-fractal character at presence of anomolous diffusion

Abstract

Soil contamination with organic pollutants is one of the most serious environmental problems that can cause very serious threats to population and the environment. Therefore, the both experimental-, and modelling type investigation of such very complex-type transport processes are, and will be of crucial importance in the future, too. In agreement with the recent most advanced simulation methods, in the present work all results are realized on the base of the extended irreversible thermodynamics. A novel-type analytical solution is proposed for simultaneous convectiondiffusion processes taking place through porous media. It is shown that the Riccati-type ordinary differential equation, frequently applied at modelling of the simultaneous convection-diffusion type processes, may be interpreted in a more general manner, as it has been done. The new modelling results are compared to the earlier analytical solutions and their relevance for accurate future modelling of such types of drying processes is also discussed. The completely noveltype solution of the problem indicated is realized in Lagrangian representation of continuum mechanics by extensive use of the MAPLE symbolic computer algebra system.