Fundamentals of the Finite Element Method for Heat and Mass Transfer

Perumal Nithiarasu, Roland W. Lewis, Kankanhalli N. Seetharamu

• Publisher: Wiley
• Year: 2016
• Print ISBN:
  9780470756256
• eBook ISBN:
  9781118535431
• Edition: 2
• Topic: Naturwissenschaften
• Subtopic: Thermodynamik

Fundamentals of the Finite Element Method for Heat and Mass Transfer, Second Edition is a comprehensively updated new edition and is a unique book on the application of the finite element method to heat and mass transfer.

•           Addresses fundamentals, applications and computer implementation

•           Educational computer codes are freely available to download, modify and use

•           Includes a large number of worked examples and exercises

•           Fills the gap between learning and research

1
Introduction

1.1 Importance of Heat and Mass Transfer

The subject of heat and mass transfer is of fundamental importance in many branches of engineering. A mechanical engineer may be interested to know the mechanisms of heat transfer involved in the operation of equipment, for example, boilers, condensers, air pre-heaters, economizers etc., in a thermal power plant in order to improve their performance. Nuclear power plants require precise information on heat transfer as safe operation is an important factor in their design. Refrigeration and air-conditioning systems also involve heat-exchanging devices, which need careful design. Electrical engineers are keen to avoid material damage in electric motors, generators and transformers due to hot spots, developed by improper heat transfer design. An electronic engineer is interested in knowing efficient methods of heat dissipation from chips and semi-conductor devices so that they function within safe operating temperatures. A computer hardware engineer is interested to know the cooling requirements of circuit-boards, as the miniaturization of computing devices is advancing at a rapid rate. Chemical engineers are interested in heat and mass transfer processes in various chemical reactions. A metallurgical engineer would be interested in knowing the rate of heat transfer required for a particular heat treatment process, e.g. the rate of cooling in a casting process has a profound influence on the quality of the final product. Aeronautical engineers are interested in knowing the heat transfer rate in rocket nozzles and in heat shields used in re-entry vehicles. An agricultural engineer would be interested in the drying of food grains, food processing and preservation. A civil engineer would need to be aware of the thermal stresses developed in quick setting concrete, the influence of heat and mass transfer on building and building materials as well as the effect of heat on nuclear containment and buildings etc. An environmental engineer is concerned with the effect of heat on dispersion of pollutants in air, transport of pollutants in soils, lakes and seas and their impact on life. A bioengineer is often interested in the heat and mass transfer processes, such as hypothermia and hyperthermia associated with the human body.

The above-mentioned applications are only a sample of heat and mass transfer applications. The solar system and the associated energy transfer from the sun are the principal factors for existence of life on Earth. It is not untrue to say that it is extremely difficult, often impossible, to avoid some form of heat transfer in any proce...

Table of contents

• Cover
• Series
• Title page
• Copyright
• Preface to the Second Edition
• Series Editor's Preface
• 1 Introduction
• 2 Some Basic Discrete Systems
• 3 The Finite Element Method
• 4 Steady-State Heat Conduction in One-dimension
• 5 Steady-state Heat Conduction in Multi-dimensions
• 6 Transient Heat Conduction Analysis
• 7 Laminar Convection Heat Transfer
• 8 Turbulent Flow and Heat Transfer
• 9 Heat Exchangers
• 10 Mass Transfer
• 11 Convection Heat and Mass Transfer in Porous Media
• 12 Solidification
• 13 Heat and Mass Transfer in Fuel Cells
• 14 An Introduction to Mesh Generation and Adaptive Finite Element Methods
• 15 Implementation of Computer Code
• Appendix A Gaussian Elimination
• Appendix B Green’s Lemma
• Appendix C Integration Formulae
• Appendix D Finite Element Assembly Procedure
• Appendix E Simplified Form of the Navier–Stokes Equations
• Appendix F Calculating Nodal Values of Second Derivatives
• Index
• EULA