Mathematical model for the study and prediction of a porous body thermal state

Abstract

Abstract The paper deals with a mathematical model of thermal state of a porous body which is in form of a rectangular parallelepiped. The internal heat generation and the heat exchange between the surfaces of the porous body and surrounding medium were taken into account in the model developing process. In order to solve the problem, there was developed a modification of the finite-difference method based on the method of lines. Also, using the least squares method, there was proposed a sinusoidal formula for describing the annual variation of ambient temperature.