Industrial Mathematics: Case Studies in the Diffusion of Heat and Matter

by Glenn R. Fulford, Philip Broadbridge

Overview

The focus in this text is on mathematical modelling stimulated by contemporary industrial problems involving heat conduction and mass diffusion. These include continuous metal casting, laser drilling, spontaneous combustion of industrial waste, water filtration and crop irrigation. The industrial problems prove to be an excellent setting for the introduction and reinforcement of modelling skills, equation solving techniques, qualitative understanding of partial differential equations and their dynamical properties. Mathematical topics include setting up partial differential equations and boundary conditions, dimensional analysis, scaling, perturbation expansions, boundary valuer problems, Fourier series, symmetry reductions, Stefan problems and bifurcations.

Product Details

ISBN-13:	9780521807173
Publisher:	Cambridge University Press
Publication date:	12/13/2001
Series:	Australian Mathematical Society Lecture Series , #16
Pages:	216
Product dimensions:	5.98(w) x 9.02(h) x 0.63(d)

Table of Contents

1. Preliminaries; 2. Case study: continuous casting; 3. Case study: water filtration; 4. Case study: laser drilling; 5. Case study: factory fires; 6. Case study: irrigation; 7. Conclusions.

Editorial Reviews

' … an excellent text … written and typeset so nicely, that it is a real pleasure to read it. This textbook is highly recommended for all students of mathematics, science and engineering, and will certainly benefit anyone who wishes to understand better how mathematical techniques are 'projected' onto the real-world problems. You will definitely understand much more about mathematical modeling and may even start loving it after having read this very nice book.' Zentralblatt für Mathematik und ihre Grenzgebiete Mathematics Abstracts

'I can wholeheartedly recommend it for a second year modelling course.' The Mathematical Gazette

From the Publisher

The use of mathematical modeling to test new industrial designs involving diffusion and heat conduction is explored by Fulford (University College, Australian Defence Force Academy) and Broadbridge (U. of Wollongong, Australia). Analytical techniques are introduced for processes in continuous casting, water filtration, laser drilling, factory fires, and irrigation. Annotation c. Book News, Inc., Portland, OR (booknews.com)