Numerical heat transfer and fluid flow

Preface
1 INTRODUCTION
1£®1 Scope of the Book
1£®2 Methods of Prediction
1£®2-1 Experimental Investigation
1£®2-2 Theoretical Calculation
1£®2-3 Advantages of a Theoretical Calculation
1£®2-4 Disadvantages of a Theoretical Calculation
1£®2-5 Choice of Prediction Method
1£®3 Outline of the Book

2 MATHEMATICAL DESCRIPTION OF PHYSICAL PHENOMENA
2£®1 Governing Differential Equations
2£®1-1 Meaning of a Differential Equation
2£®1-2 Conservation of a Chemical Species
2£®1-3 The Energy Equation
2£®1-4 A Momentum Equation
2£®1 5 The Time-Averaged Equations for Turbulent Flow
2£®1-6 The Turbulence-Kinetic-Energy Equation
2£®1-7 The General Differential Equation
2£®2 Nature of Coordinates
2£®2-1 Independent Variables
2£®2-2 Proper Choice of Coordinates
2£®2-3 One-Way and Two-Way Coordinates
Problems

3 DISCRETIZATION METHODS
3£®1 The Nature of Numerical Methods
3£¬1-1 The Task
3£¬1 2 The Discretization Concept
3£®1-3 The Structure of the Discretization Equation
3£®2 Methods of Deriving the Discretization Equations
3£®2-1 Taylor-Series Formulation
3£®2-2 Variational Formulation
3£®2-3 Method of Weighted Residuals
3£®2-4 Control-Volume Formulation
3£®3 An Illustrative Example
3£®4 The Four Basic Rules
3£®5 Closure
Problems

4 HEAT CONDUCTION
4£®1 Objectives of the Chapter
4£®2 Steady One-dimensional Conduction
4£®2-1 The Basic Equations
4£®2-2 The Grid Spacing
4£®2-3 The Interface Conductmty
4£®2-4 Nonlinearity
4£®2-5 Source-Term Linearization
4£®2-6 Boundary Conditions
4£®2-7 Solution of the Linear Algebraic Equations
4£®3 Unsteady One-dimensional Conduction
4£®3-1 The General Discretization Equation
4£®3-2 Explicit£¬ Crank-Nicolson£¬ and Fully Implicit Schemes
4£®3-3 The Fully Implicit Discretization Equation
4£®4 Two- and Three-dimensional Situations
4£®4-1 Discretization Equation for Two Dimensions
4£®4-2 Discretization Equation for Three Dimensions
4£®4-3 Solution of the Algebraic Equations
4£®5 Overrelaxation and Underrelaxation
4£®6 Some Geometric Considerations
4£®6-1 Location of the Control-Volume Faces
4£®6-2 Other Coordinate Systems
4£®7 Closure
Problems

5 CONVECTION AND DIFFUSION
5£®1 The Task
5£®2 Steady One-dimensional Convection and Diffusion
5£®2-1 A Preliminary Derivation
5£®2-2 The Upwind Scheme
5£®2-3 The Exact Solution
5£®2-4 The Exponential Scheme
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6 CALCULATION OF THE FLOW FIELD
7 FINISHING TOUCHES
8 SPECIAL TOPICS
9 ILLUSTRATIVE APPLICATIONS
Nomenclature
References
Index