Industrial Mathematics: Case Studies in the Diffusion of Heat and Matter by Glenn R. FulfordIndustrial Mathematics: Case Studies in the Diffusion of Heat and Matter by Glenn R. Fulford

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

byGlenn R. Fulford, Philip Broadbridge

Paperback | January 14, 2002

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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.
Title:Industrial Mathematics: Case Studies in the Diffusion of Heat and MatterFormat:PaperbackPublished:January 14, 2002Publisher:Cambridge University PressLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:0521001811

ISBN - 13:9780521001816

Reviews

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

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