Computational Methods for Heat and Mass Transfer: (Computational & Physical Processes in Mechanics & Thermal Scienc)

The objective of the textbook is to present basic concepts and fundamentals of computational methods as applied to heat transfer and mass transfer problems at an introductory level for undergraduates. Covering the three fundamental areas of transport phenomena: momentum, energy, and mass, the book contains enough material to cover in a one-semester course. Readers are expected to have taken a basic heat transfer course as a prerequisite. By building knowledge and understanding of the computational techniques involved, students will be able to approach real life problems by developing their own code and/or using commercial code. By exposing 3rd and 4th year undergraduate readers to mass transfer and coupled heat transfer problems using numerical methods, this book will help prepare them for the current demands in real industrial problems and the emergence of new technologies, such as high-energy laser technology, nanotechnology, and biotechnology.

Table of Contents:
Preface Nomenclature Part I: Basic Equations and Numerical Analysis 1. Review of Basic Laws and Equations 1.1 Basic Equations 1.2 Fluid Flows 1.2.1 Fluid Properties 1.2.2 Basic Equations in Integral Forms 1.2.3 Differential Analysis of Fluid Motion 1.2.4 Boundary Conditions for Flow Field 1.3 Heat Transfer 1.3.1 Basic Modes and Transport Rate Equation 1.3.2 The First Law of Thermodynamics and Heat Equations 1.3.3 Thermal Initial and Boundary Conditions 1.4 Mass Transfer 1.4.1 Basic Modes and Transport Rate Equation 1.4.2 Conservation of Mass Species and Mass Concentration Equation 1.4.3 Initial and Boundary Conditions for Mass Transfer 1.5 Mathematical Classification of Governing Equation Problems 2. Approximations and Errors 2.1 Truncation Error 2.2 Round off Error 2.2.1 Significant Figures or Digits 2.2.2 Computers Number System 2.2.3 Machine Epsilon 2.3 Error Definitions 2.4 Approximate Error 2.5 Convergence Criteria Problems 3. Numerical Solution of Systems of Equations 3.1 Mathematical Background 3.1.1 Representation of the System of Equations 3.1.2 The Cramer's Rule and the Elimination of Unknowns 3.2 Direct Methods 3.2.1 Gauss Elimination 3.2.2 Gauss-Jordon Elimination Method 3.2.3 Decomposition of Factorization Methods 3.2.4 Banded Systems 3.2.5 Error Equations and Iterative Refinement 3.3 Iterative Methods 3.3.1 Jacobi Method 3.3.2 Gauss-Seidel Method 3.3.3 Convergence Criterion for Iterative Methods 3.3.4 Successive Over-Relaxation (SOR) method 3.3.5 Conjugate Gradient Method 3.3.6 Pre-conditioned Conjugate Gradient Method Problems 4. Numerical Integration 4.1 Newton - Cotes Integration Formulas 4.1.1 The Trapezoidal Rule 4.1.2 Simpson's Integration Formula 4.1.3 Summary of Newton-Cotes Integration Formulas 4.2 Romberg Integration 4.3

About the Author :
Majumdar, Pradip; Majumdar, Pradip

Review :
""This extensive work... contains more than an adequate amount of information for two courses at this level. ...The classical principles and methods are presented in a clear and detailed manner, and the many examples are helpful in explaining the methods."." Choice, March 2006