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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Detaylı Bibliyografya
Yazar: Fulford, Glenn
Materyal Türü: Kitap
Dil:Undetermined
Baskı/Yayın Bilgisi: Cambridge, UK Cambridge University Press 2002
Konular:
Etiketler: Etiketle
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Thư viện lưu trữ: Trung tâm Học liệu Trường Đại học Cần Thơ
Diğer Bilgiler
Özet: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.