Abstract

This chapter provides a concise review of the mathematical theory of heat conduction and its engineering applications. Fourier’s law and the general heat conduction equation are developed. Solutions of the fundamental equations are presented for a number of one-dimensional steady-state problems, and these solutions are used to develop the concepts of thermal resistance, the R-value of insulating materials and the conduction shape factor. It is shown how these concepts can be applied to solve a number of problems of the type frequently encountered in process engineering. Finally, a few unsteady-state solutions of the conduction equation are presented and their use in solving engineering problems is illustrated.

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