Finite Element Analysis for Heat Transfer Theory and Software

Finite Element Analysis for Heat Transfer Theory and Software / by Hou-Cheng Huang, Asif S. Usmani.

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. First...

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Bibliographic Details
Main Authors: Huang, Hou-Cheng (Author), Usmani, Asif S. (Author)
Corporate Author: SpringerLink (Online service)
Format: eBook
Language:English
Published: London : Springer London : Imprint: Springer, 1994.
Edition:1st ed. 1994.
Series:Springer eBook Collection.
Subjects:
Thermodynamics.
Applied mathematics.
Engineering mathematics.
Mechanics.
Electronic resources (E-books)
Online Access:Click to view e-book
Holy Cross Note:Loaded electronically.
Electronic access restricted to members of the Holy Cross Community.
Table of Contents:
  • 1 Introduction
  • 1.1 Importance of Numerical Analysis of Heat Transfer
  • 1.2 Reliability of Finite Element Analysis for Heat Transfer
  • 1.3 Various Heat Transfer Problems
  • 1.4 Objectives and Layout
  • References
  • 2 Governing Differential Equations
  • 2.1 Introduction
  • 2.2 Conduction
  • 2.3 Convection
  • 2.4 Radiation
  • References
  • 3 Finite Element Method
  • 3.1 Introduction
  • 3.2 Variational Principle and Rayleigh-Ritz Method
  • 3.3 Galerkin Weighted Residual Method
  • 3.4 Finite Element Method in Two Dimensions
  • References
  • 4 Temporal Discretisation for Heat Conduction
  • 4.1 Introduction
  • 4.2 Finite Element Discretisation of the Transient Conduction Equation
  • 4.3 Recurrence Relations
  • 4.4 Automatic Time Step Selection
  • 4.5 Benchmark Example
  • References
  • 5 Phase Transformation
  • 5.1 Introduction
  • 5.2 The Stefan Problem
  • 5.3 Numerical Methods for Modelling Phase Transformation
  • 5.4 Benchmark Examples
  • 5.5 Conclusion
  • References
  • 6 Adaptive Heat Transfer Analysis
  • 6.1 Introduction
  • 6.2 Error Estimation for Heat Conduction
  • 6.3 Higher Order Approximation
  • 6.4 Implementation of the Adaptive Procedure
  • 6.5 Steady State Benchmark Example
  • 6.6 Transient Analysis
  • References
  • 7 Effects of Convection in Heat Transfer
  • 7.1 Introduction
  • 7.2 Steady State Advection-diffusion
  • 7.3 Transient Advection-diffusion
  • References
  • A Software Description for HEAT2D
  • A.1 Introduction
  • A.2 Glossary of Variable Names
  • A.2.1 Main Variables
  • A.2.2 Main Arrays
  • A.2.3 Main Subroutines
  • A.3 Program Overview
  • A.4 Input Instructions
  • A.5 Element Stiffness Calculations
  • A.6 Phase Change Calculations
  • A.6.1 Nodal Latent Heat Calculations
  • A.6.2 Latent Heat Release for Each Iteration
  • A.6.3 Correction of Temperatures after Each Iteration
  • A.7 Documented Examples
  • A.7.1 1-D Solidification Example
  • A.7.2 Steady State Forced Convection Example Using the SUPG Method
  • References
  • B Software Description for HADAPT
  • B.1 Introduction
  • B.2 Glossary of Variable Names
  • B.2.1 Main Variables for the Geometry and Mesh Data
  • B.2.2 Additional Variables Used in This Program
  • B.2.3 Additional Arrays Used in This Program
  • B.2.4 New Subroutines Used in This Program
  • B.3 Program Overview
  • B.4 Input Instructions
  • B.4.1 Geometry Data
  • B.4.2 Mesh Density Data
  • B.4.3 Example Data File
  • B.4.4 Output Data
  • B.4.5 Problem Data
  • B.5 Error Estimate Calculations
  • B.6 Documented Examples
  • B.6.1 2-D Heat Conduction with Convective Boundary Condition
  • B.6.2 Convection Dominated 2-D Heat Transfer
  • B.6.3 1-D Solidification Example.

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