Chapter 2: One-dimensional, steady state heat conduction
Abstract
In this chapter, the general three-dimensional conduction equation in Cartesian coordinates is derived from first principles. The three-dimensional conduction equations for cylindrical and spherical coordinates are also given. The governing equation for one-dimensional steady state conduction in a plane wall is solved analytically, logically leading to the concept of electrical analogy and thermal resistance. The overall heat transfer coefficient is introduced. Resistances in series, parallel, and series-parallel arrangements are discussed. This is followed by the consideration of a plane wall with uniform heat generation. Analytical solutions and thermal resistances are presented ...
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