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Industrial Mathematics
Case Studies in the Diffusion of Heat and Matter

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Part of Australian Mathematical Society Lecture Series

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About the Authors
  • 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.

    • Uses genuine real world problems
    • Authors have many years teaching experience in this area (and have taught this material in four universities)
    • Self-contained one semester text requiring very little background knowledge of the reader
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    Product details

    • Date Published: March 2011
    • format: Adobe eBook Reader
    • isbn: 9780511838002
    • availability: Adobe Reader ebooks available from eBooks.com
  • 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.

  • Authors

    Glenn R. Fulford, University College, Australian Defence Force Academy, Canberra

    Philip Broadbridge, University of Wollongong, New South Wales

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