The Finite Analytic Method in Flows and Heat Transfer

Hardcover (Print)
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Overview

This book gives a systematic coverage of knowledge needed for numerical computation of fluid flows and heat transfer in five parts. Part One gives a brief history of computational machinery and a presentation of the governing equations for fluid flows and heat transfer. Part Two is devoted to the principles of the finite analytic method and its development for various types of equations. Part Three concentrates on methods of coordinate generation for applications on complex domains. Part Four presents various schemes for accomplishing the task in Part Three. Examples of a wide variety of problems are provided in Part Five.

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Editorial Reviews

Booknews
A textbook for graduate and senior undergraduate students in applied mathematics, physics, and various engineering fields, in which engineers and a mathematician from various US universities introduce the relatively new method for solving fluid flow and heat transfer problems by computer simulation. They also discuss several related topics in the general domain of computational fluid dynamics such as generating grids and treating boundary conditions. Readers are expected to have some knowledge of differential equations and analytic methods such as separating variables for solving simple equations. Annotation c. Book News, Inc., Portland, OR (booknews.com)
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Product Details

  • ISBN-13: 9781560328988
  • Publisher: CRC Press
  • Publication date: 9/28/2000
  • Edition description: New Edition
  • Pages: 352
  • Product dimensions: 6.29 (w) x 9.36 (h) x 1.08 (d)

Table of Contents

General Remarks. Governing Equations. Classification of Differential Equations. Well-Posed Problems. Numerical Methods. The Finite DIfference Method. Basic Principles. The One-Dimensional Case. The Two-Dimensional Case. The Three-Dimensional Case. Stability and Convergence. Hyperbolic PDEs. Explicit Finite Analytic Method. Introduction to Grid Generation. Elliptic Grid Generation. Equations in E and n Coordinates. Diagonal Cartesian Method. FA Method on Diagonal Cartesian Coordinates. Solving Momentum and Continuity. Non-Staggered Grid Methods. Boundary Conditions. Laminar Flows. Laminar Convective Heat Transfer. Turbulent Flows. Turbulent Convective Heat Transfer. Complex Flows. Conjugate Heat Transfer. Appendix A: The One-Dimensional Case. Appendix B: The Two-Dimensional Case. Appendix C: FA 2-D Laminar Code.

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