Modeling of Boundary-Value Problems of Heat Conduction for Multilayered Hollow Cylinder

Abstract

The paper proposes the solution of the boundary value problem for the distribution of a non-stationary temperature field along the thickness of a multilayer hollow cylinder. The basis of the solution is the reduction method, the quasi-derivative concept, the modified Fourier method, and the problem of eigenvalues. The obtained analytical solution is modeled as a pseudocode and implemented on a specific numerical example.