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Computational Heat Transfer 2nd edition [Kõva köide]

(Rutgers University, Piscataway, New Jersey, USA Rutgers University, Piscataway, New Jersey, USA)
A textbook for a one-semester senior undergraduate or first-year graduate course. Students are assumed to have a basic undergraduate background in heat transfer and in computer programming. The second edition updates information and terminology to reflect changes over the past 15 years. Annotation c. Book News, Inc., Portland, OR (booknews.com)

This new edition updated the material by expanding coverage of certain topics, adding new examples and problems, removing outdated material, and adding a computer disk, which will be included with each book. Professor Jaluria and Torrance have structured a text addressing both finite difference and finite element methods, comparing a number of applicable methods.

Arvustused

The second edition updates information and terminology to reflect changes over the past 15 years. SciTech BookNews, March 2003Book News, Inc.. 'The second edition of Computational Heat Transfer is, as the authors state, an updated and extended version of the first edition...The character of the book remains a survey of numerical methods, primarily finite differences and finite element, for solution of heat transfer problems... The emphasis is on conduction and convection, although radiation is treated in its own chapter and there are interesting case studies of multinode processes, some of importance in manufacturing. The presentations are good, and the references from the literature are well selected to direct independent readings for those who wish to delve deeper.' Louis C.Burmeister, University of Kansas, AIAA Journal, Vol.41,No , June 2003.

Preface to the Second Edition xi
Preface to the First Edition xiii
Introduction
1(18)
Thermal Transport
1(2)
Mass Transfer and Fluid Flow
3(1)
An Example
4(2)
Importance of Analytical and Experimental Methods
6(3)
Numerical Approach
9(3)
Basic Considerations in a Numerical Solution
12(3)
Outline and Scope of the Book
15(4)
References
17(2)
Part 1 Mathematical Background 19(100)
Governing Equations
21(16)
Classification
21(2)
Representative Differential Equations from Heat Transfer and Fluid Flow
23(3)
Boundary and Initial Conditions
26(2)
Integral Forms
28(3)
Numerical Solution
31(6)
Basic Equations
31(2)
Different Approaches
33(1)
References
34(1)
Problems
35(2)
Finite Differences
37(48)
Basic Concepts
39(16)
Direct Approximation Approach
39(2)
Polynomial Representation
41(3)
Taylor Series Approach and Accuracy
44(4)
Control Volume Approach and Conservation
48(2)
Numerical Considerations
50(1)
Total Truncation Error
51(1)
Discretization and Roundoff Errors
52(1)
Convergence
53(1)
Numerical Stability and the Equivalence Theorem
53(2)
Steady-State Diffusion
55(15)
Discretization
55(3)
Solution of Simultaneous Equations
58(1)
Iterative Methods
59(6)
Direct Methods
65(5)
Transient Diffusion
70(15)
Two-Level Time Discretization
70(2)
Matrix Stability Analysis
72(4)
Fourier Series Stability Analysis
76(2)
An Example of Numerical Instability
78(2)
Other Explicit and Implicit Schemes
80(1)
References
81(1)
Problems
82(3)
Finite Elements
85(34)
Basic Concepts
86(8)
Discretization
88(1)
Interpolation Functions
88(1)
Integral Representations and Galerkin's Method
89(1)
Assembly
90(1)
Elements
90(1)
Condensation and Substructuring
91(2)
Practical Implementation
93(1)
Steady-State Diffusion
94(14)
Matrix Equations with Boundary Conditions
94(3)
One-Dimensional Diffusion
97(2)
Two-Dimensional Diffusion
99(3)
Typical FEM Solutions
102(6)
Transient Diffusion
108(11)
The Matrix System
108(1)
Finite Differences in Time
109(2)
Diagonalization
111(1)
Transient One-Dimensional Diffusion
111(1)
Other Methods and Solutions
112(1)
References
113(1)
Problems
114(5)
Part 2 Simulation of Transport Processes 119(296)
Numerical Methods for Conduction Heat Transfer
121(94)
Governing Equations
122(2)
Numerical Solution of Steady-State Conduction
124(42)
One-Dimensional Conduction
124(1)
Basic Equations
124(3)
Finite Difference Approximation of the Boundary Conditions
127(3)
An Example: Numerical Solution of Heat Transfer in an Extended Surface
130(2)
Runge-Kutta Methods
132(3)
Finite Difference Method
135(2)
Multidimensional Steady-State Conduction
137(2)
Finite Difference Formulation
139(5)
Solution: Iterative and Direct Methods
144(5)
Improvement in Accuracy of Numerical Results
149(1)
Finite Element Formulation
150(2)
Variable Property and Other Considerations
152(14)
Numerical Solution of Unsteady-State Conduction
166(37)
One-Dimensional Unsteady-State Conduction
168(1)
FTCS Explicit Method
169(9)
Other Methods
178(2)
Numerical Approximation of Lumped Mass and Semi-infinite Solids
180(4)
Multidimensional Unsteady-State Conduction
184(5)
Numerical Methods for Time-Varying Boundary Conditions
189(6)
Property Variation
195(3)
Finite Element Solution
198(5)
Grid Generation
203(3)
Summary
206(9)
References
207(2)
Problems
209(6)
Numerical Methods for Convection Heat Transfer
215(138)
Governing Equations
217(3)
Computation of Forced Convection with Constant Fluid Properties
220(88)
Inviscid Flow: Introduction to Stream Function and Vorticity
221(7)
Equations for Viscous Flow: Primitive and Derived Variables
228(1)
Linear Viscous Flow (Creeping Flow)
229(4)
Computation of Boundary Layer Flows
233(1)
Similarity Solution: Ordinary Differential Equations
234(4)
Finite Difference Approach
238(12)
Numerical Solution of the Full Equations
250(2)
Central Differencing
252(1)
Upwind, Hybrid and Other Lower-Order Differencing Schemes
253(3)
Higher-Order Differencing Schemes for Convection
256(3)
Other Numerical Methods and Considerations
259(6)
Steady State Solution
265(1)
Primitive Variables Approach
266(3)
Simpler Algorithm
269(5)
Finite Difference Considerations of the Conservative Form
274(5)
Concluding Remarks on Flow Calculations
279(1)
Energy Equation
280(1)
Numerical Formulation
280(4)
Boundary Conditions
284(5)
Numerical Solution
289(8)
Numerical Solution of Turbulent Flows
297(11)
Computation of Natural Convection Flow and Transport
308(17)
Similarity Solutions
310(5)
Finite Difference Methods
315(9)
Additional Considerations
324(1)
Convection with Variable Fluid Properties
325(5)
Finite Element Methods
330(8)
Discretization and Interpolation Functions
331(1)
Integral Representation
331(2)
Element Equations and Assembly
333(2)
Solution
335(1)
Examples and Other Considerations
335(2)
Comparison of Finite Element and Finite Difference Methods
337(1)
Summary
338(15)
References
339(6)
Problems
345(8)
Numerical Methods for Radiation Heat Transfer
353(62)
Basic Concepts
354(5)
Numerical Techniques for Enclosures with Diffuse-Gray Surfaces
359(11)
Radiosity Method
359(5)
Absorption Factor Method
364(1)
Additional Considerations
365(1)
Computation of View Factors
365(1)
Temperature Dependence of Surface Properties
366(3)
Spectral Variation
369(1)
Nonuniform Irradiation and Emission: Discrete Integral Equations
370(9)
Numerical Solution of Radiation in the Presence of Other Modes
379(15)
Combined Modes at Boundaries: Nonparticipating Media
380(5)
Participating Media
385(9)
Other Methods For Participating Media
394(9)
Monte Carlo Method
403(3)
Summary
406(9)
References
407(2)
Problems
409(6)
Part 3 Combined Modes and Process Applications 415(68)
Applications of Computational Heat Transfer
417(66)
Numerical Simulation of Thermal Systems in Manufacturing
418(24)
Heat Treatment: Temperature Regulation
418(4)
Surface Treatment: Semi-infinite Approximation
422(2)
Continuously Moving Materials: Moving Boundary Effects
424(3)
Melting and Solidification: Phase Change Considerations
427(9)
Other Processes
436(6)
Numerical Simulation of Environmental Heat Transfer Problems
442(26)
Cooling Ponds: Periodic Processes
442(5)
Recirculating Flows in Enclosed Spaces
447(7)
Fire-Induced Flows in Partial Enclosures
454(3)
Free Boundary Flows and Other Problems
457(9)
Summary
466(2)
Computer Simulation and Computer-Aided Design of Thermal Systems
468(15)
General Approach
468(2)
Example of Computer Simulation of a Thermal System
470(5)
References
475(4)
Problems
479(4)
Appendices 483(50)
A Finite Difference Approximations
483(4)
B Sample Computer Programs
487(36)
B.1 Successive Over-Relaxation (SOR) Method
488(3)
B.2 Tridiagonal Matrix Algorithm (TDMA) or Thomas Algorithm
491(1)
B.3 Gauss-Jordan Elimination Method
492(3)
B.4 Forward-Time-Central-Space (FTCS) Method
495(2)
B.5 Crank-Nicolson Method
497(6)
B.6 Newton-Raphson Method
503(1)
B.7 Finite Difference Method for ODEs
504(3)
B.8 Runge-Kutta Method
507(5)
B.9 Alternating-Direction-Implicit (ADI) Method
512(11)
C Material Properties
523(10)
Nomenclature 533(4)
Index 537


Professor Jaluria has been teaching at Rutgers, the State University of New Jersey in the Department of Mechanical and Aerospace Engineering since 1980. He is currently the Boards of Governors Professor at Rutgers. After receiving his doctoral degree, Kenneth Torrance held a joint appointment with the Fire Research Section of the National Bureau of Standards and the Factory Mutual Engineering Corporation, in Norwood Massachusetts.