Computational Methods for Heat and Mass Transfer

TRAMA

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. <BR>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 solvedand 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. <BR>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 thefinite element method. <BR>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 includ

SOMMARIO

PrefaceNomenclaturePart I: Basic Equations and Numerical Analysis1. Review of Basic Laws and Equations1.1 Basic Equations1.2 Fluid Flows1.2.1 Fluid Properties1.2.2 Basic Equations in Integral Forms1.2.3 Differential Analysis of Fluid Motion 1.2.4 Boundary Conditions for Flow Field1.3 Heat Transfer1.3.1 Basic Modes and Transport Rate Equation1.3.2 The First Law of Thermodynamics and Heat Equations1.3.3 Thermal Initial and Boundary Conditions 1.4 Mass Transfer1.4.1 Basic Modes and Transport Rate Equation1.4.2 Conservation of Mass Species and Mass Concentration Equation1.4.3 Initial and Boundary Conditions for Mass Transfer1.5 Mathematical Classification of Governing EquationProblems2. Approximations and Errors2.1 Truncation Error2.2 Round off Error2.2.1 Significant Figures or Digits2.2.2 Computers Number System2.2.3 Machine Epsilon2.3 Error Definitions2.4 Approximate Error2.5 Convergence CriteriaProblems3. Numerical Solution of Systems of Equations 3.1 Mathematical Background3.1.1 Representation of the System of Equations3.1.2 The Cramer's Rule and the Elimination of Unknowns3.2 Direct Methods3.2.1 Gauss Elimination3.2.2 Gauss-Jordon Elimination Method3.2.3 Decomposition of Factorization Methods3.2.4 Banded Systems3.2.5 Error Equations and Iterative Refinement3.3 Iterative Methods3.3.1 Jacobi Method3.3.2 Gauss-Seidel Method3.3.3 Convergence Criterion for Iterative Methods3.3.4 Successive Over-Relaxation (SOR) method3.3.5 Conjugate Gradient Method3.3.6 Pre-conditioned Conjugate Gradient MethodProblems4. Numerical Integration 4.1 Newton - Cotes Integration Formulas4.1.1 The Trapezoidal Rule 4.1.2 Simpson's Integration Formula4.1.3 Summary of Newton-Cotes Integration Formulas4.2 Romberg Integration4.3

AUTORE

Majumdar, Pradip; Majumdar, Pradip

ALTRE INFORMAZIONI

• Condizione: Nuovo
• ISBN: 9781560329947
• Collana: Series in Computational and Physical Processes in Mechanics and Thermal Sciences
• Dimensioni: 9 x 6 in Ø 2.40 lb
• Formato: Copertina rigida
• Illustration Notes: 324 b/w images and 32 tables
• Pagine Arabe: 744