Exact Solutions of Nonstationary Heat-Conduction Problems for a Half-Space and a Triangular Prism

Abstract

The solution of the third boundary-value problem for a half-space with an arbitrary smooth initial condition is constructed in an explicit form, and the Green function is presented. Using the method of special superpositions, the solution of a nonstationary problem is found for a prism whose cross section is a regular triangle. Multiplication of Green functions for a half-space or a wall of thickness bo and for a triangular prism yielded the solutions for a semiinfinite and a bounded prisms of triangular cross section.