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Summary
Summary
The advent of high-speed computers has encouraged a growing demand for newly graduated engineers to possess the basic skills of computational methods for heat and mass transfer and fluid dynamics. Computational fluid dynamics and heat transfer, as well as finite element codes, are standard tools in the computer-aided design and analysis of processes and products involving coupled transport and multi-physic phenomena. This textbook introduces the fundamentals of two important computational techniques for solving heat and mass transfer and fluid flow problems: finite difference and finite element methods.
The objective of the book is to help the students thoroughly understand the basic concepts and procedures of fluid dynamics, heat and mass transfer and implement computational methodology into a computer code and solve more complex problems on their own. Theory and practice are combined in a simple and straightforward manner. Classic problems in heat transfer, mass transfer, and fluid flows are solved and illustrated through step-by-step derivations and numerous figures. End-of-chapter problems are provided at the end of every chapter for extra practice and homework assignments.
The book is divided into three parts: Part One contains a review of basic equations of heat transfer, mass transfer and fluid dynamics; concepts of numerical approximations and errors; numerical solution techniques for systems of linear algebraic equations; and numerical integrations and quadrature formulas. (The last two topics are included primarily for students who have had no prior course on numerical analysis). Part Two introduces the finite difference/control volume method. Part Three presents the finite element method.
As an introductory text, this book is appropriate for senior undergraduate and first-year graduate level courses. Students taking independent study can use the text as a comprehensive reference guide. Others who will find it a useful resource inclu
Author Notes
Majumdar, Pradip; Majumdar, Pradip
Reviews 1
Choice Review
This extensive work (more than 700 pages) is intended for senior undergraduate or first-year graduate-level engineering students, and contains more than an adequate amount of information for two courses at this level. Majumdar presents numerical methods and procedures for solving partial differential equations that arise in the laminar flow of fluids, and in static and laminar heat transfer and mass transfer problems. The book has 14 chapters organized in three parts: part 1 presents the basic fluid flow, heat transfer, and mass transfer equations and numerical techniques; part 2 addresses the finite difference-control volume method; and part 3 treats the finite element method. Numerous examples and student problems are included at the end of each chapter. The classical principles and methods are presented in a clear and detailed manner, and the many examples are helpful in explaining the methods. Although such a book would normally be expected to include a CD-ROM containing programs for implementing the techniques, the author instead presents various algorithms in the form of "pseudo-code" for students to incorporate into whatever programming language they choose. ^BSumming Up: Recommended. Upper-division undergraduates through faculty. R. Darby emeritus, Texas A&M University
Table of Contents
| Preface |
| Nomenclature |
| Part I Basic Equations andNumerical Analysis |
| 1 Review of Basic Laws andEquations |
| 2 Approximations and Errors |
| 3 NumericalSolution of Systems of Equations |
| 4 NumericalIntegration |
| Part II Finite Difference Control VolumeMethod |
| 5 Basics of Finite Difference and ControlVolume Method |
| 6 Multi-Dimensional Problems |
| 7 Diffusion Equation |
| 8 Finite Difference-Control VolumeMethod: Convection Heat Transfer |
| Part III FiniteElement Method |
| 9 Introduction and Basic Steps inFinite Element Method |
| 10 Element Shape Functions |
| 11 Finite Element Method: One-dimensional SteadyState Problems |
| 12 Finite Element Method: MultidimensionalSteady State Problems |
| 13 Finite ElementMethod: Unsteady State Problems |
| 14 Finite ElementMethod: Convection Heat Transfer |
| Appendix A Reviewof Vectors and Matrices |
| Appendix B Integral Theorems |
| Bibliography |
| Index |
