Open AccessThe study of the heat transfer process in bodies with internal heat sources of variable power
Author(s) -
А. В. Еремин,
Kristina Vladimirovna Gubareva,
A. A. Ilyasov,
Konstantin Trubitsyn,
Pavel Iglin
Publication year - 2020
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/791/1/012009
Subject(s) - parametric statistics , process (computing) , heat transfer , variable (mathematics) , algebraic equation , simple (philosophy) , mathematics , boundary value problem , internal heating , function (biology) , algebraic number , computer science , mathematical optimization , mathematical analysis , mechanics , mechanical engineering , engineering , physics , philosophy , statistics , epistemology , nonlinear system , quantum mechanics , evolutionary biology , biology , operating system
An analytical solution to an unsteady heat conductivity problem based on the method of using a new function for a plate under first-order boundary conditions with time-varying internal heat sources was obtained. Obtaining an exact analytical solution for such problems has encountered serious mathematical difficulties. However, analytical solutions have significant advantages compared to numerical ones. For example, solutions obtained in an analytical form make it possible to perform the parametric analysis of the system under study, parametric identification, programming of measuring devices; controlling the production process, etc. Therefore, approximate analytical methods have been widely used. So, this paper is devoted to the development of such a method. The solutions obtained have a simple form of algebraic polynomials without special functions. This allows doing the research in the fields of isotherms and determining their velocities.