Heat Conduction (Electrical Engineering Handbook) - Hardcover

Hill, James M.; Dewynne, Jeff

Hardcover

ISBN 10: 0632017163 ISBN 13: 9780632017164

Publisher: CRC Press, 1991

Synopsis

One of the most important partial differential equations in applied mathematics is the heat or diffusion equation. Its importance in the modeling of heat conduction, diffusional processes, and flow through a porous medium is well known. It arises from a probabilistic framework and emerges as the simplest approximation to bulk processes governed at the microscopic level by random spatial variations. Heat Conduction provides a balanced account of solutions and results for the heat equation and serves as a modern undergraduate text that reflects the importance of the heat equation in applied mathematics and mathematical modeling. The first two chapters of the book are introductory and summarize the essential elements of heat flow, diffusion, the mathematical formulation, and simple general results. The next two chapters develop exact analytical solutions, obtained by Laplace transforms and Fourier series, for infinite and finite media problems respectively. Other chapters deal with approximate analytical solutions based on the heat-balance integral method, numerical methods for the heat equation, and simple heat conduction moving boundary problems.

About this title

Synopsis

One of the most important partial differential equations in applied mathematics is the heat or diffusion equation. Its importance in the modelling of heat conduction, diffusional processes and flow through a porous medium is well known. It arises from a probabilistic framework and emerges as the simplest approximation to bulk processes governed at the microscopic level by random spatial variations. The book is intended as a modern undergraduate text written for students which reflects the importance of the heat equation in applied mathematics and mathematical modelling. Familiarity with the heat equation is essential for aspiring mathematical modellers, and this book is intended to support an advanced undergraduate course in applied mathematics, science or engineering. To provide a balanced account of solutions and results for the heat equation, the authors have adopted the strategy of bringing together the simplest and most useful results from many diverse areas of mathematics. More complicated results are summarized as problems at the end of each chapter.

Edition details

• Publisher: CRC Press
• Publication date: 1991
• Language: English
• ISBN 10: 0632017163
• ISBN 13: 9780632017164
• Binding: Hardcover
• Number of pages: 334