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A finite element free boundary formulation for the problem of multiphase heat conduction

✍ Scribed by L. Carter Wellford Jr.; Robert M. Ayer

Publisher
John Wiley and Sons
Year
1977
Tongue
English
Weight
479 KB
Volume
11
Category
Article
ISSN
0029-5981

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✦ Synopsis

Abstract

The problem of heat conduction in a multiphase medium is a free boundary problem in which the free boundary is the phase transition line. The solution to this problem is highly irregular in that the temperature gradient is discontinuous at the free boundary. Two‐dimensional, discontinuous, space–time finite elements are introduced to obtain a finite element, free boundary formulation for this problem. The jump in heat flux and position of the phase transition line become dependent variables in the finite element model. The resulting models give accurate results while allowing the calculation of free boundary problems with a fixed finite element mesh.

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