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Finite element solution of non‐linear heat conduction problems with special reference to phase change

Finite element solution of non‐linear heat conduction problems with special reference to phase... The paper presents a generally applicable approach to transient heat conduction problems with non‐linear physical properties and boundary conditions. An unconditionally stable central algorithm is used which does not require iteration. Several examples involving phase change (where latent heat effects are incorporated as heat capacity variations) and non‐linear radiation boundary conditions are given which show very good accuracy. Simple triangular elements are used throughout but the formulation is generally valid and not restricted to any single type of element. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png International Journal for Numerical Methods in Engineering Wiley

Finite element solution of non‐linear heat conduction problems with special reference to phase change

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References (13)

Publisher
Wiley
Copyright
Copyright © 1974 John Wiley & Sons, Ltd
ISSN
0029-5981
eISSN
1097-0207
DOI
10.1002/nme.1620080314
Publisher site
See Article on Publisher Site

Abstract

The paper presents a generally applicable approach to transient heat conduction problems with non‐linear physical properties and boundary conditions. An unconditionally stable central algorithm is used which does not require iteration. Several examples involving phase change (where latent heat effects are incorporated as heat capacity variations) and non‐linear radiation boundary conditions are given which show very good accuracy. Simple triangular elements are used throughout but the formulation is generally valid and not restricted to any single type of element.

Journal

International Journal for Numerical Methods in EngineeringWiley

Published: Jan 1, 1974

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