Symbols
CHAPTER 1 Introduction
1.1 What and How?
1.2 Physical Origins and Rate Equations
1.2.1 Conduction
1.2.2 Convection
1.2.3 Radiation
1.2.4 Relationship to Thermodynamics
1.3 The Conservation of Energy Requirement
1.3.1 Conservation of Energy for a Control Volume
1.3.2 The Surface Energy Balance
1.3.3 Application of the Conservation Laws: Methodology
1.4 Analysis of Heat Transfer Problems: Methodology
Symbols
CHAPTER 1 Introduction
1.1 What and How?
1.2 Physical Origins and Rate Equations
1.2.1 Conduction
1.2.2 Convection
1.2.3 Radiation
1.2.4 Relationship to Thermodynamics
1.3 The Conservation of Energy Requirement
1.3.1 Conservation of Energy for a Control Volume
1.3.2 The Surface Energy Balance
1.3.3 Application of the Conservation Laws: Methodology
1.4 Analysis of Heat Transfer Problems: Methodology
1.5 Relevance of Heat Transfer
1.6 Units and Dimensions
1.7 Summary
Problems
CHAPTER 2 Introduction to Conduction
2.1 The Conduction Rate Equation
2.2 The Thermal Properties of Matter
2.2.1 Thermal Conductivity
2.2.2 Other Relevant Properties
2.3 The Heat Diffusion Equation
2.4 Boundary and Initial Conditions
2.5 Summary
References
Problems
CHAPTER 3 One-Dimensional, Steady-State Conduction
3.1 The Plane Wall
3.1.1 Temperature Distribution
3.1.2 Thermal Resistance
3.1.3 The Composite Wall
3.1.4 Contact Resistance
3.2 An Alternative Conduction Analysis
3.3 Radial Systems
3.3.1 The Cylinder
3.3.2 The Sphere
3.4 Summary of One-Dimensional Conduction Results
3.5 Conduction with Thermal Energy Generation
3.5.1 The Plane Wall
3.5.2 Radial Systems
3.5.3 Application of Resistance Concepts
3.6 Heat Transfer from Extended Surfaces
3.6.1 A General Conduction Analysis
3.6.2 Fins of Uniform Cross-Sectional Area
3.6.3 Fin Perfonnance
3.6.4 Fins of Nonuniform Cross-Sectional Area
3.6.5 Overall Surface Efficiency
3.7 Summary
References
Problems
CHAPTER 4 Two-Dimensional, Steady-State Conduction
4.1 Alternative Approaches
4.2 The Method of Separation of Variables
4.3 The Graphical Method
4.3.1 Methodology of Constructing a Flux Plot
4.3.2 Determination of the Heat Transfer Rate
4.3.3 The Conduction Shape Factor
4.4 Finite-Difference Equations
4.4.1 The Nodal Network
4.4.2 Finite-Difference Form of the Heat Equation
4.4.3 The Energy Balance Method
4.5 Finite-Difference Solutions
4.5.1 The Matrix Inversion Method
4.5.2 Gauss-Seidel Iteration
4.5.3 Some Precautions
4.6 Summary
References
Problems
CHAPTER 5 Transient Conduction
5.1 The Lumped Capacitance Method
5.2 Validity of the Lumped Capacitance Method
5.3 General Lumped Capacitance Analysis
5.4 Spatial Effects
5.5 The Plane Wall with Convection
5.5.1 Exact Solution
5.5.2 Approximate Solution
5.5.3 Total Energy Transfer
5.5.4 Additional Considerations
5.6 Radial Systems with Convection
5.6.1 Exact Solutions
5.6.2 Approximate Solutions
5.6.3 Total Energy Transfer
5.6.4 Additional Considerations
5.7 The Semi-Infinite Solid
5.8 Multidimensional Effects
5.9 Finite-Difference Methods
5.9.1 Discretization of the Heat Equation: The Explicit Method
5.9.2 Discretization of the Heat Equation: The Implicit Method
5.10 Summary
References
Problems
CHAPTER 6 Introduction to Convection
6.1 The Convection Transfer Problem
6.2 The Convection Boundary Layers
6.2.1 The Velocity Boundary Layer
6.2.2 The Thermal Boundary Layer
6.2.3 The Concentration Boundary Layer
6.2.4 Significance of the Boundary Layers
6.3 Laminar and Turbulent Flow
6.4 Boundary Layer Equations
6.4.1 The Convection Transfer Equations
6.4.2 The Boundary Layer Approximations
6.5 Boundary Layer Similarity: The Normalized Boundary Layer Equations
6.5.1 Boundary Layer Similarity Parameters
6.5.2 Functional Form of the Solutions
6.6 Physical Significance of the Dimensionless Parameters
6.7 Boundary Layer Analogies
6.7.1 The Heat and Mass Transfer Analogy
6.7.2 Evaporative Cooling
6.7.3 The Reynolds Analogy
6.8 The Effects of Turbulence
6.9 The Convection Coefficients
6.10 Summary
References
Problems
CHAPTER 7 External Flow
7.1 The Empirical Method
7.2 The Flat Plate in Parallel Flow
7.2.1 Laminar Flow: A Similarity Solution
7.2.2 Turbulent Flow
7.2.3 Mixed Boundary Layer Conditions
7.2.4 Special Cases
7.3 Methodology for a Convection Calculation
7.4 The Cylinder in Cross Flow
7.4.1 Flow Considerations
7.4.2 Convection Heat and Mass Transfer
7.5 The Sphere
7.6 Flow Across Banks of Tubes
7.7 Impinging Jets
7.7.1 Hydrodynamic and Geometric Considerations
7.7.2 Convection Heat and Mass Transfer
7.8 Packed Beds
7.9 Summary
References
Problems
CHAPTER 8 Internal Flow
8.1 Hydrodynamic Considerations
8.1.1 Flow Conditions
8.1.2 The Mean Velocity
8.1.3 Velocity Profile in the Fully Developed Region
8.1.4 Pressure Gradient and Friction Factor in Fully Developed Flow
8.2 Thermal Considerations
8.2.1 The Mean Temperature
8.2.2 Newton's Law of Cooling
8.2.3 Fully Developed Conditions
8.3 The Energy Balance
8.3.1 General Considerations
8.3.2 Constant Surface Heat Flux
8.3.3 Constant Surface Temperature
8.4 Laminar Flow in Circular Tubes: Thermal Analysis and Convection Correlations
8.4.1 The Fully Developed Region
8.4.2 The Entry Region
8.5 Convection Correlations: Turbulent Flow in Circular Tubes
8.6 Convection Correlations: Noncircular Tubes
8.7 The Concentric Tube Annulus
8.8 Heat Transfer Enhancement
8.9 Convection Mass Transfer
8.10 Summary
References
Problems
CHAPTER 9 Free Convection
9.1 Physical Considerations
9.2 The Governing Equations
9.3 Similarity Considerations
9.4 Laminar Free Convection on a Vertical Surface
9.5 The Effects of Turbulence
9.6 Empirical Correlations: External Free Convection Flows
9.6.1 The Vertical Plate
9.6.2 Inclined and Horizontal Plates
9.6.3 The Long Horizontal Cylinder
9.6.4 Spheres
9.7 Free Convection within Parallel Plate Channels
9.7.1 Vertical Channels
9.7.2 Inclined Channels
9.8 Empirical Correlations: Enclosures
9.8.1 Rectangular Cavities
9.8.2 Concentric Cylinders
9.8.3 Concentric Spheres
9.9 Combined Free and Forced Convection
9.10 Convection Mass Transfer
9.11 Summary
References
Problems
CHAPTER 10 Boiling and Condensation
10.1 Dimensionless Parameters in Boiling and Condensation
10.2 Boiling Modes
10.3 Pool Boiling
10.3.1 The Boiling Curve
10.3.2 Modes of Pool Boiling
10.4 Pool Boiling Correlations
10.4.1 Nucleate Pool Boiling
10.4.2 Critical Heat Flux for Nucleate Pool Boiling
10.4.3 Minimum Heat Flux
10.4.4 Film Pool Boiling
10.4.5 Parametric Effects on Pool Boiling
10.5 Forced-Convection Boiling
10.5.1 External Forced-Convection Boiling
10.5.2 Two-Phase Flow
10.6 Condensation: Physical Mechanisms
10.7 Laminar Film Condensation on a Vertical Plate
10.8 Turbulent Film Condensation
10.9 Film Condensation on Radial Systems
10.10 Film Condensation in Horizontal Tubes
10.11 Dropwise Condensation
10.12 Summary
References
Problems
CHAPTER 11 Beat Exchangers
11.1 Heat Exchanger Types
11.2 The Overall Heat Transfer Coefficient
11.3 Heat Exchanger Analysis: Use of the Log Mean Temperature Difference
11.3.1 The Parallel-Flow Heat Exchanger
11.3.2 The Counterflow Heat Exchanger
11.3.3 Special Operating Conditions
11.3.4 Multipass and Cross-Flow Heat Exchangers
11.4 Heat Exchanger Analysis: The Effectiveness-NTU Method
11.4.1 Definitions
11.4.2 Effectiveness-NTU Relations
11.5 Methodology of a Heat Exchanger Calculation
11.6 Compact Heat Exchangers
11.7 Summary
References
Problems
CHAPTER 12 Radiation: Processes and Properties
12.1 Fundamental Concepts
12.2 Radiation Intensity
12.2.1 Definitions
12.2.2 Relation to Emission
12.2.3 Relation to Irradiation
12.2.4 Relation to Radiosity
12.3 Blackbody Radiation
12.3.1 The Planck Distribution
12.3.2 Wien's Displacement Law
12.3.3 The Stefan-Boltzmann Law
12.3.4 Band Emission
12.4 Surface Emission
12.5 Surface Absorption, Reflection, and Transrnission
12.5.1 Absorptivity
12.5.2 Reflectivity
12.5.3 Transmissivity
12.5.4 Special Considerations
12.6 Kirchhoff's Law
12.7 The Gray Surface
12.8 Environmental Radiation
12.9 Summary
References
Problems
CHAPTER 13 Radiation Exchange Between Surfaces
13.1 The View Factor
13.1.1 The View Factor Integral
13.1.2 View Factor Relations
13.2 Blackbody Radiation Exchange
13.3 Radiation Exchange Between Diffuse, Gray Surfaces in an Enclosure
13.3.1 Net Radiation Exchange at a Surface
13.3.2 Radiation Exchange Between Surfaces
13.3.3 The Two-Surface Enclosure
13.3.4 Radiation Shields
13.3.5 The Reradiating Surface
13.4 Multimode Heat Transfer
13.5 Additional Effects
13.5.1 Volumetric Absorption
13.5.2 Gaseous Emission and Absorption
13.6 Summary
References
Problems
CHAPTER 14 Diffusion Mass Transfer
14.1 Physical Origins and Rate Equations
14.1.1 Physical Origins
14.1.2 Mixture Composition
14.1.3 Fick's Law of Diffusion
14.1.4 Restrictive Conditions
14.1.5 Mass Diffusion Coefficient
14.2 Conservation of Species
14.2.1 Conservation of Species for a Control Volume
14.2.2 The Mass Diffusion Equation
14.3 Boundary and Initial Conditions
14.4 Mass Diffusion Without Homogeneous Chemical Reactions
14.4.1 Stationary Media with Specified Surface Concentrations
14.4.2 Stationary Media with Catalytic Surface Reactions
14.4.3 Equimolar Counterdiffusion
14.4.4 Evaporation in a Column
14.5 Mass Diffusion with Homogeneous Chemical Reactions
14.6 Transient Diffusion
14.7 Summary
References
Problems
APPENDIX A Thermophysical Properties of Matter
APPENDIX B Mathematical Relations and Functions
APPENDIX C Thermal Conditions Associated with Uniform Energy Generation in OnOne-Dimensional, Steady-State Systems
APPENDIX D Graphical Representation of One-Dimensional, Transient Conduction in the Plane Wall, Long Cylinder, and Sphere
APPENDIX E The Convection Transfer Equations
E.1 Conservation of Mass
E.2 Newton's Second Law of Motion
E.3 Conservation of Energy
E.4 Conservation of Species
APPENDIX F An Integral Laminar Boundary Layer Solution for Parallel Flow Over a Flat Plate
Index
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