Industrial Mathematics: Case Studies in the Diffusion of Heat and Matter (Australian Mathematical Society Lecture Series Book 16) 1st Edition by Glenn R. Fulford (PDF)

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    Ebook Info

    • Published: 2001
    • Number of pages: 216 pages
    • Format: PDF
    • File Size: 1.07 MB
    • Authors: Glenn R. Fulford

    Description

    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.

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