Finite Difference Methods in Heat Transfer, Second Edition

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"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. FeaturesProvides a self-contained approach in finite difference methods for students and professionalsCovers the use of finite difference methods in convective, conductive, and radiative heat transferPresents numerical solution techniques to elliptic, parabolic, and hyperbolic problemsIncludes hybrid analytical-numerical approaches"--Provided by publisher. Read more... Abstract: "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. FeaturesProvides a self-contained approach in finite difference methods for students and professionalsCovers the use of finite difference methods in convective, conductive, and radiative heat transferPresents numerical solution techniques to elliptic, parabolic, and hyperbolic problemsIncludes hybrid analytical-numerical approaches"--Provided by publisher Content: PrefaceBasic RelationsDiscrete Approximation of DerivativesMethods of Solving Sets of Algebraic EquationsOne-Dimensional Steady-State SystemsOne-Dimensional Parabolic SystemsMultidimensional Parabolic SystemsElliptic SystemsHyperbolic SystemsNonlinear DiffusionPhase Change ProblemsNumerical Grid GenerationHybrid Numerical-Analytic SolutionsReferencesAppendices: Subroutine GaussSubroutine TrisolSubroutine SORProgram to Solve Example 10-1Discretization FormulaIndex.