A novel-type analytical solution of the problem of simultanous convection and multi component diffusion process through porous media

Abstract

A novel-type analytical solution is proposed for simultaneous convection-diffusion processes taking place through porous media. It is shown, that the Riccati-type ordinary differential equation, frequently applied at modelling of such processes, may be interpreted in a more general manner, as it has been done. For simultaneous convection and diffusion of multi-component, chemically interacting materials, a completely new modelling type approach is proposed and described in the present work. Then, the integration factor function method is applied, and completely novel-type formulae are derived for solving of the adequate types of the Riccati’s ordinary differential equation. Finally, the new analytical results are compared to the earlier analytical solutions and their relevance for accurate future modelling of such types of drying processes is also discussed concisely.