Exact solutions for convective heat transfer

The convective heat transfer at a fluid/solid interface is investigated from a mathematical point of view. Through the use of a transformation, T sub h, a number of exact solutions of the heat equation satisfying convection or radiation type boundary conditions are developed from previously known solutions satisfying temperature-specified type boundary conditions. A general solution is obtained in the form of an integral representation and specific solutions are determined for some important particular choices of the boundary and initial data.