The Finite Element Method in Heat Transfer and Fluid Dynamics - Rilegato

Reddy, J. N.; Gartling, D.K.

Rilegato

ISBN 10: 0849394104 ISBN 13: 9780849394102

Casa editrice: CRC Press, 1994

Riassunto

Designed for those interested in using finite element methods in the study of fluid mechanics and heat transfer, The Finite Element Method in Heat Transfer and Fluid Dynamics presents this useful methodology tailored for a limited but significant class of problems dealing with heat conduction, incompressible viscous flows, and convection heat transfer. The authors' approach consists of a series of incremental steps of increasing complexity. The text is divided into 8 chapters. Chapter 1 describes in detail the continuum boundary value problems that form the central focus of the book. Chapters 2 and 3 introduce and extend the finite element method by application to a simplified, two- and three-dimensional heat conduction problems. Chapters 4 and 5 describe isothermal viscous fluid mechanics formulations and the solution of nonlinear equations developed from the flow problem. Chapter 6 covers inelastic non-Newtonian flows and free surface problems. Chapter 7 surveys the complex topic of viscoelastic flow simulation, while Chapter 8 discusses several advanced topics, including turbulence modeling. Each chapter includes example problems ranging from simple benchmarks to practical engineering solutions. In The Finite Element Method in Heat Transfer and Fluid Dynamics, readers will find a pragmatic treatment that views numerical computation as a means to and end and does not dwell on theory or proof. Mastering its contents brings a firm understanding of the basic methodology, the competence to use existing simulation software, and the ability to develop some simpler, special purpose computer codes.

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Contenuti

Equations of Heat Transfer and Fluid Mechanics
Introduction
Present Study
Fundamental Equations of a Continuous Medium
Governing Equations in Terms of Primitive Variables
Porous Flow Equations
Auxiliary Transport Equations
Boundary Conditions
Change of Phase
Enclosure Radiation
Summary of Equations
Exercise Problems
The Finite Element Method: An Overview
Introduction
Model Differential Equation
Finite Element Approximation
Weighted-Integral Statements and Weak Forms
Finite Element Model
Interpolation Functions
Assembly of Elements
Time-Dependent Problems
Axisymmetric Problems
Convective Boundary Conditions
Library of Finite Elements
Numerical Integration
Modeling Considerations
Illustrative Examples
Exercise Problems
Conduction Heat Transfer
Introduction
Semidiscrete Finite Element Model
Interpolation Functions
Numerical Integration
Computation of Surface Fluxes
Semidiscrete Finite Element Model
Solution of Nonlinear Equations
Radiation Solution Algorithm
Some Variable Property Complications
Post-Computation of Heat Flux
Examples of Diffusion Problems
Exercise Problems
Viscous Incompressible Flows
Introduction
Mixed Finite Element Model
Penalty Finite Element Models
Finite Element Models of Porous Flow
Computational Considerations
Iterative Methods for Nonlinear Equations
Time Approximation Schemes
Solution of Linear Equations
Post-Processing
Numerical Examples
Exercise Problems
Convective Heat Transfer
Introduction
Mixed Finite Element Model
Penalty Finite Element Model
Finite Element Models of Porous Flow
Solution Methods
Convection with Change of Phase
Convection with Enclosure Radiation
Post-Computation of Heat Flux
Numerical Examples
Inelastic Fluids
Introduction
Governing Equations
Finite Element Models
Solution Methods
Free Surface Problems
Numerical Examples
Viscoelastic Fluids
Introduction
Conservation Equations
Constitutive Equations
Finite Element Model of Differential Form
Integral Finite Element Model
Unresolved Problems
Numerical Examples
Exercise Problems
Prelude to Advanced Topics
Introduction
Turbulent Flows
Chemically Reactive Systems
Electromagnetic Fields
Parallel Processing
Appendices
Computer Program HEATFLOW
Fixed Point Methods and Contraction Mappings
Subject Index

Product Description

Book by Reddy J N Gartling DK

Dettagli dell?edizione

• Editore: CRC Press
• Data di pubblicazione: 1994
• Lingua: Inglese
• ISBN 10: 0849394104
• ISBN 13: 9780849394102
• Rilegatura: Copertina rigida
• Numero edizione: 1
• Numero di pagine: 416
• Contatto del produttore: non disponibile