Computational Heat Transfer

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ISBN: 9781560324775 | 1560324775
Cover: Hardcover
Copyright: 11/21/2002

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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new edition updated the material by expanding coverage of certain topics, adding new examples and problems, removing outdated material, and adding a computer disk, which will be included with each book.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. 9781560325710 Addresses many aspects of endocrine disruption by environmental encountered toxic substances. Initial chapters provide essential ba

Preface to the Second Edition

Preface to the First Edition

xiii

Introduction

(18)

Thermal Transport

(2)

Mass Transfer and Fluid Flow

(1)

An Example

(2)

Importance of Analytical and Experimental Methods

(3)

Numerical Approach

(3)

Basic Considerations in a Numerical Solution

(3)

Outline and Scope of the Book

(4)

References

(2)

Part 1 Mathematical Background

(100)

Governing Equations

(16)

Classification

(2)

Representative Differential Equations from Heat Transfer and Fluid Flow

(3)

Boundary and Initial Conditions

(2)

Integral Forms

(3)

Numerical Solution

(6)

Basic Equations

(2)

Different Approaches

(1)

References

(1)

Problems

(2)

Finite Differences

(48)

Basic Concepts

(16)

Direct Approximation Approach

(2)

Polynomial Representation

(3)

Taylor Series Approach and Accuracy

(4)

Control Volume Approach and Conservation

(2)

Numerical Considerations

(1)

Total Truncation Error

(1)

Discretization and Roundoff Errors

(1)

Convergence

(1)

Numerical Stability and the Equivalence Theorem

(2)

Steady-State Diffusion

(15)

Discretization

(3)

Solution of Simultaneous Equations

(1)

Iterative Methods

(6)

Direct Methods

(5)

Transient Diffusion

(15)

Two-Level Time Discretization

(2)

Matrix Stability Analysis

(4)

Fourier Series Stability Analysis

(2)

An Example of Numerical Instability

(2)

Other Explicit and Implicit Schemes

(1)

References

(1)

Problems

(3)

Finite Elements

(34)

Basic Concepts

(8)

Discretization

(1)

Interpolation Functions

(1)

Integral Representations and Galerkin's Method

(1)

Assembly

(1)

Elements

(1)

Condensation and Substructuring

(2)

Practical Implementation

(1)

Steady-State Diffusion

(14)

Matrix Equations with Boundary Conditions

(3)

One-Dimensional Diffusion

(2)

Two-Dimensional Diffusion

(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

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Computational Heat Transfer

Summary

Author Biography

Table of Contents

Supplemental Materials

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5% off 1 book, 7% off 2 books, 10% off 3+ books

Computational Heat Transfer

Summary

Author Biography

Table of Contents

Supplemental Materials

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