Tuesday, June 12, 2012

Approximate vs. Exact Solutions in Heat Transfer

In analytical heat transfer, there are a variety of techniques to determine both exact and approximate solutions to problems.  To one way of thinking, all numerical solutions are approximate, since the exact differential equations have been discretized to enable an approximate solution via a system of algebraic equations.
Both exact and approximate solutions can be useful.  Let’s look at an example, then talk about some useful features of both types of solutions.