Advances in Numerical Heat Transfer, Volume 2

by Minkowycz; W.

• ISBN13: 9781560325659
• ISBN10: 1560325658
• Edition: 1st
• Format: Hardcover
• Copyright: 2000-12-05
• Publisher: CRC Press

Summary

With contributions from leading experts, this second volume in the series strikes a balance between generic and specific fundamentals and generic and specific applications. After opening with a broad overview of the field of high-performance scientific computing and its role in fluid flow and heat transfer problems, the book goes on to cover such topics as: unstructured meshes; spectral element method; use of the finite volume method for the numerical solution of radiative heat transfer problems; heat conduction and the use of the boundary element method for both steady and unsteady problems; special numerical issues related to solving microscale heat transfer problems; the Monte Carlo Method; flow and heat transfer in porous media; and the thermal management of electronic systems.

Table of Contents

Preface	ix
Contributors	xi
High-Performance Computing for Fluid Flow and Heat Transfer
D.W. Pepper
J.M. Lombardo
Introduction	1	(7)
Architecture	8	(7)
Programming	15	(2)
Clusters and Networks of Workstations	17	(3)
Applications	20	(12)
Future of High-Performance Computing	32	(1)
References	33	(4)
Unstructured Finite Volume Methods for Multi-Mode Heat Transfer
S.R. Mathur
J.Y. Murphy
Introduction	37	(1)
Review	38	(2)
Finite Volume Formulation	40	(7)
Energy Equation	47	(4)
Radiation Heat Transfer	51	(11)
Multigrid Scheme	62	(4)
Closure	66	(1)
Acknowledgments	66	(1)
References	67	(4)
Spectral Element Methods for Unsteady Fluid Flow and Heat Transfer in Complex Geometries: Methodology and Applications
C.H. Amon
Introduction	71	(2)
Mathematical Formulation	73	(2)
Discretization	75	(8)
Applications	83	(21)
Acknowledgments	104	(1)
References	105	(4)
Finite-Volume Method for Radiation Heat Transfer
J.C. Chai
S.V. Patankar
Introduction	109	(1)
Governing Equations and Related Quantities	110	(2)
The Convection-Diffusion Equation and the Radiative Transfer Equation	112	(1)
The Flux, Discrete-Ordinates and Finite-Volume Methods	113	(6)
Domain Discretization	119	(1)
Derivation of the Discretization Equation	120	(6)
Treatment of Irregular Geometries	126	(3)
Control-Angle Overlap	129	(2)
Spatial Difference Schemes	131	(2)
Ray Concentration Error, Ray Effect and False Scattering	133	(2)
Advanced Topics	135	(1)
Concluding Remarks	136	(1)
Nomenclature	137	(1)
References	138	(5)
Boundary Element Methods for Heat Conduction
A.J. Kassab
L.C. Wrobel
Introduction	143	(1)
Heat Conduction	144	(2)
Transient Problems	146	(3)
Nonlinear Problems	149	(12)
BEM Solution of Hyperbolic Heat Conduction	161	(5)
BEM Application to Inverse Problems in Heat Conduction	166	(14)
Conclusion	180	(1)
References	181	(8)
Molecular Dynamics Method for Microscale Heat Transfer
S. Maruyama
Introduction	189	(1)
Molecular Dynamics Method	190	(13)
Liquid-Vapor Interface	203	(4)
Solid-Liquid-Vapor Interactions	207	(5)
Non-Equilibrium Simulations	212	(5)
Future Directions	217	(1)
Nomenclature	218	(2)
References	220	(7)
Numerical Methods in Microscale Heat Transfer: Modeling of Phase-Change and Laser Interactions with Materials
C.P. Grigoropoulos
M. Ye
Introduction	227	(1)
Models	227	(7)
Applications	234	(16)
Conclusions	250	(2)
Acknowledgment	252	(1)
References	252	(7)
Current Status of the Use of Parallel Computing in Turbulent Reacting Flows: Computations Involving Sprays, Scalar Monte Carlo Probability Density Function and Unstructured Grids
M.S. Raju
Introduction	259	(2)
Governing Equations for the Gas Phase	261	(1)
Scalar Joint PDF Equation	262	(2)
Liquid-Phase Equations	264	(2)
Details of Droplet Fuel Injection	266	(2)
CFD Solution Algorithm	268	(1)
PDF Solution Algorithm	268	(5)
Spray Solution Algorithm	273	(3)
Coupling Between the Three Solvers	276	(1)
Parallelization	277	(6)
Concluding Remarks	283	(1)
Acknowledgment	284	(1)
Nomenclature	285	(2)
References	287	(4)
Overview of Current Computational Studies of Heat Transfer in Porous Media and Their Applications-Forced Convection and Multiphase Heat Transfer
H. Hadim
K. Vafai
Introduction	291	(1)
Forced Convection in Porous Media	292	(21)
Multiphase Transport in Porous Media	313	(8)
Conclusions	321	(1)
References	321	(10)
Overview of Current Computational Studies of Heat Transfer in Porous Media and Their Applications-Natural and Mixed Convection
K. Vafai
H. Hadim
Introduction	331	(1)
Natural Convection in Porous Media	332	(22)
Mixed Convection in Porous Media	354	(4)
Conclusions	358	(1)
References	358	(13)
Recent Progress and Some Challenges in Thermal Modeling of Electronic Systems
Y. Joshi
Introduction	371	(2)
The Hierarchical Nature of Electronic Systems and Their Thermal Modeling	373	(2)
Conjugate Transport Modeling	375	(11)
Reduced or Compact Models	386	(1)
Integrated Multi-Scale Modeling	387	(13)
Challenges in System Modeling	400	(1)
Nomenclature	401	(1)
References	402	(5)
Index	407