Finite Element Analysis for Heat Transfer

1. Front Matter

   Pages i-xi

   PDF

2. Introduction

   • Hou-Cheng Huang, Asif S. Usmani

   Pages 1-5

3. Governing Differential Equations

   • Hou-Cheng Huang, Asif S. Usmani

   Pages 7-20

4. Finite Element Method

   • Hou-Cheng Huang, Asif S. Usmani

   Pages 21-47

5. Temporal Discretisation for Heat Conduction

   • Hou-Cheng Huang, Asif S. Usmani

   Pages 49-61

6. Phase Transformation

   • Hou-Cheng Huang, Asif S. Usmani

   Pages 63-83

7. Adaptive Heat Transfer Analysis

   • Hou-Cheng Huang, Asif S. Usmani

   Pages 85-104

8. Effects of Convection in Heat Transfer

   • Hou-Cheng Huang, Asif S. Usmani

   Pages 105-128

9. Back Matter

   Pages 129-199

   PDF

This text presents an introduction to the application of the finite ele­ ment method to the analysis of heat transfer problems. The discussion has been limited to diffusion and convection type of heat transfer in solids and fluids. The main motivation of writing this book stems from two facts. Firstly, we have not come across any other text which provides an intro­ duction to the finite element method (FEM) solely from a heat transfer perspective. Most introductory texts attempt to teach FEM from a struc­ tural engineering background, which may distract non-structural engineers from pursuing this important subject with full enthusiasm. We feel that our approach provides a better alternative for non-structural engineers. Secondly, for people who are interested in using FEM for heat transfer, we have attempted to cover a wide range of topics, presenting the essential the­ ory and full implementational details including two FORTRAN programs. In addition to the basic FEM heat transfer concepts and implementation, we have also presented some modem techniques which are being used to enhance the accuracy and speed of the conventional method. In writing the text we have endeavoured to keep it accessible to persons with qualifications of no more than an engineering graduate. As mentioned earlier this book may be used to learn FEM by beginners, this may include undergraduate students and practicing engineers. However, there is enough advanced material to interest more experienced practitioners.

• calculus
• finite element method
• finite elements
• heat transfer
• modeling

• Oxford Instruments UK Ltd., NMR Instruments, Osney Mead, Oxford, UK

  Hou-Cheng Huang

• Department of Civil Engineering and Building Science, The University of Edinburgh, The King’s Buildings, Edinburgh, UK

  Asif S. Usmani

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