Finite Difference Methods in Heat Transfer, Second Edition focuses on finite difference methods and their application to the solution of heat transfer problems. Such methods are based on the discretization of governing equations, initial and boundary conditions, which then replace a continuous partial differential problem by a system of algebraic equations. Finite difference methods are a versatile tool for scientists and for engineers. This updated book serves university students taking graduate-level coursework in heat transfer, as well as being an important reference for researchers and engineering. Features Provides a self-contained approach in finite difference methods for students and professionals Covers the use of finite difference methods in convective, conductive, and radiative heat transfer Presents numerical solution techniques to elliptic, parabolic, and hyperbolic problems Includes hybrid analytical-numerical approaches

The long-awaited revision of the bestseller on heat conduction

"Heat Conduction, Third Edition "is an update of the classic text on heat conduction, replacing some of the coverage of numerical methods with content on micro- and nanoscale heat transfer. With an emphasis on the mathematics and underlying physics, this new edition has considerable depth and analytical rigor, providing a systematic framework for each solution scheme with attention to boundary conditions and energy conservation. Chapter coverage includes: Heat conduction fundamentalsOrthogonal functions, boundary value problems, and the Fourier SeriesThe separation of variables in the rectangular coordinate systemThe separation of variables in the cylindrical coordinate systemThe separation of variables in the spherical coordinate systemSolution of the heat equation for semi-infinite and infinite domainsThe use of Duhamel's theoremThe use of Green's function for solution of heat conductionThe use of the Laplace transformOne-dimensional composite mediumMoving heat source problemsPhase-change problemsApproximate analytic methodsIntegral-transform techniqueHeat conduction in anisotropic solidsIntroduction to microscale heat conduction

In addition, new capstone examples are included in this edition and extensive problems, cases, and examples have been thoroughly updated. A solutions manual is also available.

"Heat Conduction" is appropriate reading for students in mainstream courses of conduction heat transfer, students in mechanical engineering, and engineers in research and design functions throughout industry.