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

ISBN-13: 9780521001816 / Angielski / Miękka / 2001 / 216 str.

Glenn Fulford; Philip Broadbridge; J. H. Loxton

Opis

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.

Recenzje

'I can wholeheartedly recommend it for a second year modelling course.' The Mathematical Gazette

Spis treści

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.