Fundamentals of the finite element method for heat and fluid flow - Lewis Nithiarasu.pdf

Contents
Preface xiii
1 Introduction 1
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Heat transfer from a plate exposed to solar heat flux . . . . . . . . . 5
Incandescentlamp........................... 7
Systems with a relative motion and internal heat generation . . . . . 8
Heat Conduction Equation . . . . . . . . . . . . . . . . . . . . . . . . . . . 10
Boundary and Initial Conditions . . . . . . . . . . . . . . . . . . . . . . . . 13
Solution Methodology . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 14
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Bibliography..................................... 17
2 Some Basic Discrete Systems 18
Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 18
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positeslab..................... 19
work........................... 22
Heat transfer in heat sinks (combined conduction–convection) . . . 25
Analysis of a heat exchanger . . . . . . . . . . . . . . . . . . . . . 27
Transient Heat Transfer Problem (Propagation Problem) . . . . . . . . . . . 29
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Bibliography..................................... 37
3 The Finite Element Method 38
Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 38
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One-dimensionallinearelement.................... 42
One-dimensionalquadraticelement.................. 45
viii CONTENTS
Two-dimensional linear triangular elements . . . . . . . . . . . . . . 48
Area