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

International Workshop "Advanced Technologies in Material Science, Mechanical and Automation Engineering – MIP: Engineering – 2019"

材料科学;机械制造;原子能学

Ravshanov, N.^1 ; Shadmanov, I.U.^1 ; Kravets, O Ja^2

Tashkent University of Information Technologies, 108, Amir Temur ave., Tashkent

100200, Uzbekistan^1

Voronezh State Technical University, 84, 20 let Oktyabrya Str., Voronezh

394006, Russia^2

关键词: Annual variations;    Developing process;    Heat exchange;    Internal heat generation;    Least squares methods;    Method of lines;    Rectangular parallelepipeds;    Thermal state;   

Others  :  https://iopscience.iop.org/article/10.1088/1757-899X/537/2/022024/pdf
DOI  :  10.1088/1757-899X/537/2/022024

学科分类：材料科学（综合）

来源: IOP

【 摘 要 】

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.