Description
Book SynopsisThis superb text describes a novel and powerful method for allowing design engineers to firstly model a linear problem in heat conduction, then build a solution in an explicit form and finally obtain a numerical solution. It constitutes a modelling and calculation tool based on a very efficient and systemic methodological approach.
Solving the heat equations through integral transforms does not constitute a new subject. However, finding a solution generally constitutes only one part of the problem. In design problems, an initial thermal design has to be tested through the calculation of the temperature or flux field, followed by an analysis of this field in terms of constraints. A modified design is then proposed, followed by a new thermal field calculation, and so on until the right design is found. The thermal quadrupole method allows this often painful iterative procedure to be removed by allowing only one calculation.
The chapters in this book increase in complexi
Trade Review"The book can be highly recommended to anyone who works in the area of integral transforms and heat transfer". (Zentralblatt MATH, Vol.964, No.14, 2001)
Table of ContentsInterest in the Quadrupole Approach.
Linear Conduction and Simple Geometries.
One-Dimensional Quadrupoles.
Multidimensional Transfers.
Time-Dependent Periodic Regimes.
Advanced Quadrupoles.
Mass Transfer in a Porous Medium.
The Quadrupole Approach Applied to Heat Transfer in Semi-Transparent Materials.
Inverse Laplace Transform.
Appendices.
Index.
