Industrial Mathematics: Case Studies in the Diffusion of Heat and Matter
Glenn R. Fulford, Philip Broadbridge
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.
种类:
年:
2002
出版:
1
出版社:
Cambridge University Press
语言:
english
页:
214
ISBN 10:
0521807174
ISBN 13:
9780521807173
系列:
Australian Mathematical Society Lecture Series
文件:
PDF, 1.33 MB
IPFS:
,
english, 2002