Heat Flow Problems

Abstract

The heat flow problems are a very important part of thermodynamics. The solution of these problems influences many other technical problems. The most important equation describing heat flow rules, is the heat equation (Fourier equation)

$$a^2 \left( {\frac{{\partial ^2 T}}{{\partial x^2 }} + \frac{{\partial ^2 T}}{{\partial y^2 }} + \frac{{\partial ^2 T}}{{\partial z^2 }}} \right) = \frac{{\partial T}}{{\partial t}}$$

((14.1))

The difficulty of the solution of the Equation (14.1) depends on the difficulty of the boundary and initial conditions. We can differentiate two main groups of heat flow problems.