How To Undertake Finite Element Based Thermal Analysis
Ransing, R S, Hardy, S J, and Gethin, D T
First Published - January 1999
Softback - 42 Pages
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 This booklet is a continuation of the ‘How &
Why…’ set of booklets published by NAFEMS, designed to
guide both new and experienced analysts in a range of problem
types. The booklets are written to introduce various analysis
methodologies to both engineering managers and engineers in a
straightforward and informed manner.
It has been assumed, however, that the principle users’ of
this booklet will have at least one year’s experience of
using the Finite Element project in heat transfer. However, a
structural engineering background is not essential to understand
the booklet. It is only assumed that the reader understands a
little basic Finite Element jargon, including the terms such as
node, element etc. If required this information can be obtained
from other NAFEMS publications in this series such as ‘How to
Understand Finite Element Jargon’.
The text begins by defining three modes of heat transfer viz.
conduction, convection and radiation and then introduces the
objectives of undertaking a thermal analysis. Some real life
examples, which require temperature calculations, have been
highlighted. The introduction concludes with a simple flow chart to
classify linear, non-linear, steady-state and transient problems.
The second chapter describes the mathematics of the Finite Element
method in layman’s language. The chapter provides an insight
of the physics of heat conduction with the associated technical
jargon such as internal heat generation, boundary value problem,
boundary conditions and material properties. The Finite Element
formulation has been detailed for a simple steady-state heat
conduction problem. Governing equations, material property
requirements/characteristics together with prescription of all
relevant boundary conditions have been explained for different
types of thermal problems and tabulated at the end of the chapter
for quick reference. Schemes for time stepping methods and solution
strategies for non-linear problems have been introduced with
minimal mathematical rigour.
Contents
Introduction
Finite Element Formulation for Heat Transfer
Finite Element Formulation
- Classification of Heat Conduction Problems
- Linear Steady State Analysis
- Linear Transient Analysis
- Non-Linear Steady State Analysis
- Non-Linear Transient Analysis
Steps Involved in Undertaking a Thermal Analysis
- Geometry
- Material properties
- Mesh Generation
- Loading and Boundary Conditions
- Selection of parameters Specific to Numerical Computation
A Case Study
Other Analysis Schemes
- Finite Difference Schemes
- Boundary Element Method
Nomenclature and Units
Glossary
References
Appendix 1: Analogy between Elasticity and Thermal Analysis
Members Price: £7 ( $14 / €9 )
Non-Members Price: £18 ( $35 / €23 )
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