Open AccessMathematical model for the study and prediction of a porous body thermal state
Author(s) -
Н. Равшанов,
Istam Shadmanov,
O Ja Kravets
Publication year - 2019
Publication title -
iop conference series. materials science and engineering
Language(s) - English
Resource type - Journals
eISSN - 1757-899X
pISSN - 1757-8981
DOI - 10.1088/1757-899x/537/2/022024
Subject(s) - parallelepiped , porosity , thermal , porous medium , thermal state , mechanics , mathematics , materials science , thermodynamics , physics , geometry , composite material
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.