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

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

Paperback

Series: Australian Mathematical Society Lecture, Book 16

Technology & EngineeringGeneral Mathematics

ISBN10: 0521001811
ISBN13: 9780521001816
Publisher: Cambridge University Press
Published: Dec 13 2001
Pages: 216
Weight: 0.71
Height: 0.49 Width: 6.00 Depth: 9.00
Language: English
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.

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