ANOMALOUS NONISOTHERMAL TRANSFER OF A SUBSTANCE IN AN INHOMOGENEOUS POROUS MEDIUM

Consideration has been given to nonisothermal anomalous transfer of a substance in an inhomogeneous porous medium consisting of two parts with different porosity and permeability properties and characteristics of transfer of the substance. In contrast to the approaches that are used in the theory of interpenetrating continua for the problems of fi ltration and transfer of a substance and heat, here the authors consider one medium; the transfer of a substance and heat to the other medium in relevant equations is only taken account of by the source (sink) term in the form of a fractional time derivative of the concentration of the substance and the temperature. Account for the dependence of the diffusion coeffi cient of the substance on temperature leads to coupled systems of equations for the concentration of the substance and the temperature, which are solved numerically
   
Author:  B. Kh. Khuzhayorov, T. O. Djiyanov, and T. R. Yuldashev
Keywords:  anomalous transfer, anomalous heat transfer, fractional derivatives, concentration of the substance, temperature, numerical solution
Page:  104