This book focuses on heat and mass transfer, fluid flow, chemical reaction, and other related processes that occur in engineering equipment, the natural environment, and living organisms. Using simple algebra and elementary calculus, the author develops numerical methods for predicting these processes mainly based on physical considerations. Through this approach, readers will develop a deeper understanding of the underlying physical aspects of heat transfer and fluid flow as well as improve their ability to analyze and interpret computed results.
This book focuses on heat and mass transfer, fluid flow, chemical reaction, and other related processes that occur in engineering equipment, the natural environment, and living organisms. Using simple algebra and elementary calculus, the author develops numerical methods for predicting these processes mainly based on physical considerations. Through this approach, readers will develop a deeper understanding of the underlying physical aspects of heat transfer and fluid flow as well as improve their ability to analyze and interpret computed results.
Scope of the Book Methods of Prediction Outline of the Book 2 Mathematical Description of Physical Phenomena Governing Differential Equations Nature Coordinates 3 Discretization Methods The Nature of Numerical Methods Methods of Deriving the Discretization Equations An Illustrative Example The Four Basic Rules Closure 4 Heat Conduction Objectives of the Chapter Steady One-dimensional Conduction Unsteady One-dimensional Conduction Two- and Three-dimensional Situations Overrelaxatioin and Underrelaxation Some Geometric Considerations Closure 5 Convection and Diffusion The Task Steady One-dimensional Convection and Diffusion Discretization Equation for Two Dimensions Discretization Equation for Three Dimensions A One-Way Space Coordinate False Diffusion Closure 6 Calculation of the Flow Field Some Related Difficulties A Remedy: The Staggered Grid The Momentum Equation The Pressure and Velocity Corrections The Pressure-Correction Equation The SIMPLE Algorithm A Revised Algorithm: SIMPLER 7 Finishing Touches The Iterative Nature of the Procedure Source-Term Linearization Irregular Geometries Suggestions for Computer-Program Preparation and Testing 8 Special Topics Two-dimensional Parabolic Flow Three-dimensional Parabolic Flow Partially Parabolic Flow The Finite-Element Method 9 Illustrative Applications Developing Flow in a Curved Pipe Combined Convection in a Horizontal Tube Melting around a Vertical Pipe Turbulent Flow and Heat Transfer in Internally Finned Tubes A Deflected Turbulent Jet A Hypermixing Jet within a Thrust-Augmenting Ejector A Periodic Fully Developed Duct Flow Thermal Hydraulic Analysis of a Steam Generator Closing Remarks Nomenclature References Index
Scope of the Book Methods of Prediction Outline of the Book 2 Mathematical Description of Physical Phenomena Governing Differential Equations Nature Coordinates 3 Discretization Methods The Nature of Numerical Methods Methods of Deriving the Discretization Equations An Illustrative Example The Four Basic Rules Closure 4 Heat Conduction Objectives of the Chapter Steady One-dimensional Conduction Unsteady One-dimensional Conduction Two- and Three-dimensional Situations Overrelaxatioin and Underrelaxation Some Geometric Considerations Closure 5 Convection and Diffusion The Task Steady One-dimensional Convection and Diffusion Discretization Equation for Two Dimensions Discretization Equation for Three Dimensions A One-Way Space Coordinate False Diffusion Closure 6 Calculation of the Flow Field Some Related Difficulties A Remedy: The Staggered Grid The Momentum Equation The Pressure and Velocity Corrections The Pressure-Correction Equation The SIMPLE Algorithm A Revised Algorithm: SIMPLER 7 Finishing Touches The Iterative Nature of the Procedure Source-Term Linearization Irregular Geometries Suggestions for Computer-Program Preparation and Testing 8 Special Topics Two-dimensional Parabolic Flow Three-dimensional Parabolic Flow Partially Parabolic Flow The Finite-Element Method 9 Illustrative Applications Developing Flow in a Curved Pipe Combined Convection in a Horizontal Tube Melting around a Vertical Pipe Turbulent Flow and Heat Transfer in Internally Finned Tubes A Deflected Turbulent Jet A Hypermixing Jet within a Thrust-Augmenting Ejector A Periodic Fully Developed Duct Flow Thermal Hydraulic Analysis of a Steam Generator Closing Remarks Nomenclature References Index
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