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ISSN Online: 2377-424X

ISBN Print: 0-85295-345-3

International Heat Transfer Conference 10
August, 14-18, 1994, Brighton, UK

FREEZING AND MELTING WITH MULTIPLE PHASE FRONTS USING THE BOUNDARY ELEMENT METHOD, PART I: ANALYSIS

Get access (open in a dialog) DOI: 10.1615/IHTC10.1670
pages 97-102

Abstract

The objective of this paper is to develop a numerical solution using the boundary element method for freezing and melting problems involving multiple phase fronts separating alternate layers of liquid and solid. Multiple phase fronts arise when a phase change material is subjected to alternate heating and cooling conditions, resulting in the surface temperature crossing back and forth across the phase change temperature.

In this paper, the boundary element method is developed for one-dimensional problems with multiple phase fronts. The method leads to a set of nonlinear integral equations in the time variable for the unknown boundary locations, temperatures and heat fluxes. An implicit time discretization produces numerically stable results. Since the method requires numerical discretization only over the boundaries, it is particularly well suited to problems involving alternate layers of liquid and solid separated by evolving phase fronts.