Integral correlations for analytical solutions to generalized equation of transient heat conduction.

Abstract

The integral correlations for analytical solutions to the generalized equation of transient heat conduction simultaneously in the Cartesian coordinate grid, cylindrical and spherical coordinate systems for the limited fields of the canonical type were constructed. The theory of integral transformations and the method of Green's functions were developed.

Keywords

• unsteady heat conduction
• generalized equation
• boundary value problems
• green's functions