Industrial mathematics: case studies in the diffusion of heat and matter

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 pr...

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Bibliographic Details
Main Author: Fulford, Glenn (Author)
Format: Electronic eBook
Language:English
Published: Cambridge Cambridge University Press 2002
Series:Australian Mathematical Society lecture series 16
Subjects:
Online Access:BSB01
FHN01
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Summary: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 value problems, Fourier series, symmetry reductions, Stefan problems and bifurcations. For students of mathematics, engineering, or any other related discipline, this will be a great introduction to modelling the real world
Item Description:Title from publisher's bibliographic system (viewed on 05 Oct 2015)
Physical Description:1 online resource (xii, 202 pages)
ISBN:9780511613210
DOI:10.1017/CBO9780511613210

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