Mathematical modeling of heating temperature mode for a heat exchange system of the type "pipe in pipe". (November 2019)

• Record Type: Journal Article
• Authors: Naimov, Alijon; Sinitsyn, Anton; Gazizov, Farit; Eperin, A P; Rundygin, Yu A; Agasiants, G A; Galileev, S M; Akhmetov, T R
• Is Part Of: IOP conference series. Volume 337(2019)
• Publication Date: 2019-11
• Subjects: Earth sciences -- Periodicals; Environmental sciences -- Congresses; Environmental sciences -- Periodicals; 550.5
• DOI: 10.1088/1755-1315/337/1/012068
• Languages: English
• ISSNs: 1755-1307

Abstract

Abstract: A mathematical model of heating of inhomogeneous medium "TEH-sand-air" was constructed and investigated as an initial-boundary value problem for the heat equation in polar coordinate system with boundary conditions that take into account the peculiarities of thermal processes at the boundaries of the inhomogeneous medium. A solution is given to the initial-boundary problem and an algorithm is proposed for calculating the thermal characteristics of the heating process and regular temperature conditions. The study is relevant for development of a computer virtual model of the heating process of an inhomogeneous medium in order to clearly demonstrate the heating process over a short period of time, as well as to calculate the corresponding thermal characteristics based on real experimental data.