Research of Heat Transfer Processes in Multilayered Structures of Basic Geometric Forms with Internal Heat Sources

Abstract

The general scheme of research of the process of heat transfer in multilayer structures of the three main geometric forms simultaneously, taking into account the internal sources of heat, is proposed. In this connection, a one-parameter family of boundary-value problem is solved. The basis of the implementation of this scheme is laid: the method of reduction, the concept of quasi-derivatives, the modern theory of systems of linear differential equations, the Fourier method and the modified method of eigenfunctions.