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An approximate method for evaporation problem with mushy zone
Faculty
Science
Year:
2005
Type of Publication:
Article
Pages:
161-165
Authors:
Ahmed, SG
DOI:
10.1016/j.enganabound.2004.10.002
Journal:
ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS ELSEVIER SCI LTD
Volume:
29
Research Area:
Engineering; Mathematics
ISSN
ISI:000227780700006
Keywords :
moving boundary, evaporation problem, mushy zone model, boundary integral method
Abstract:
In the present paper, a simple mushy zone model is used to track the moving boundaries in an evaporation problem in which the vapor is removed upon formation. Two main parameters for the mushy zone model are analyzed as well as their effect on the movement of the moving boundaries and the thickness of the mushy zone. A new approximate method is developed for analysis and tracking the moving boundaries appears throughout the process. The proposed method mainly based on applying the boundary integral equation corresponding to each phase in such a way that the associated boundary and initial conditions as well as energy equations at the moving boundaries achieved with minimum error and low number of iterations. The results of the present paper seem to be good because there are neither analytical or numerical solutions available. (c) 2004 Elsevier Ltd. All rights reserved.
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