导语

  

内容提要

  

    本书涉及传热、流体流动、化学反应，以及发生在工程设备、自然环境和生物有机体的其他相关过程。本书提供了使用简单的代数和初等微积分来进行数值计算的方法。通过这种方法，读者将对传热和流体流动有更深入的理解，并提高他们分析和解释计算结果的能力。

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 Eguations
    4.2-2  The Grid Spacing
    4.2-3  The Interface Conductivity
    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
    5.2-5  The Hybrid Scheme
    5.2-6  The Power-Law Scheme
    5.2-7  A Generalized Formulation
    5.2-8  Consequences of the Various Schemes
  5.3  Discretization Equation for Two Dimensions
    5.3-1  Details of the Derivation
    5.3-2  The Final Discretization Equation
  5.4  Discretization Equation for Three Dimensions
  5.5  A One-Way Space Coordinate
    5.5-1  What Makes a Space Coordinate One-Way
    5.5-2  The Outflow Boundary Condition
  5.6  False Diffusion
    5.6-1  The Common View of False Diffusion
    5.6-2  The Proper View of False Diffusion
  5.7  Closure
  Problems
6  CALCULATION OF THE FLOW FIELD
  6.1  Need for a Special Procedure
    6.1-1  The Main Difficulty
    6.1-2  Vorticity-based Methods
  6.2  Some Related Difficulties
    6.2-1  Representation of the Pressure-Gradient Term
    6.2-2  Representation of the Continuity Equation
  6.3  A Remedy:The Staggered Grid
  6.4  The Momentum Equations
  6.5  The Pressure and Velocity Corrections
  6.6  The Pressure-Correction Equation
  6.7  The SIMPLE Algorithm
    6.7-1  Sequence of Operations
    6.7-2  Discussion of the Pressure-Correction Equation
    6.7-3  Boundary Conditions for the Pressure-Correction Equation
    6.7-4  The Relative Nature of Pressure
  6.8  A Revised Algorithm:SIMPLER
    6.8-1  Motivation
    6.8-2  The Pressure Equation
    6.8-3  The SIMPLER Algorithm
    6.8-4  Discussion
  6.9  Closure
  Problems
7  FINISHING TOUCHES
  7.1  The Iterative Nature of the Procedure
  7.2  Source-Term Linearization
    7.2-1  Discussion
    7.2-2  Source Linearization for Always-Positive Variables
  7.3  Irregular Geometries
    7.3-1  Orthogonal Curvilinear Coordinates
    7.3-2  Regular Grid with Blocked-off Regions
    7.3-3  Conjugate Heat Transfer
  7.4  Suggestions for Computer-Program Preparation and Testing
8  SPECIAL TOPICS
  8.1  Two-dimensional Parabolic Flow
  8.2  Three-dimensional Parabolic Flow
  8.3  Partially Parabolic Flows
  8.4  The Finite-Element Method
    8.4-1  Motivation
    8.4-2  Difficulties
    8.4-3  A Control-Volume-based Finite-Element Method
9  ILLUSTRATIVE APPLICATIONS
  9.1  Developing Flow in a Curved Pipe
  9.2  Combined Convection in a'Horizontal Tube
  9.3  Melting around a Vertical Pipe
  9.4  Turbulent Flow and Heat Transfer in Internally Finned Tubes
  9.5  A Deflected Turbulent Jet
  9.6  A Hypermixing Jet within a Thrust-Augmenting Ejector
  9.7  A Periodic Fully Developed Duct Flow
  9.8  Thermal Hydraulic Analysis of a Steam Generator
  9.9  Closing Remarks
Nomenclature
References
Index