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A numerical method for phase-change problemsA highly accurate and efficient finite-difference method for phase-change problems with multiple moving boundaries of irregular shape is developed by employing a coordinate transformation that immobilizes moving boundaries and preserves the conservative forms of the original governing equations. The numerical method is first presented for one-dimensional phase-change problems (involving large density variation between phases, heat generation, and multiple moving boundaries) and then extended to solve two-dimensional problems (without change of densities between phases). Numerical solutions are obtained non-iteratively using an explicit treatment of the interfacial mass and energy balances and an implicit treatment of the temperature field equations. The accuracy and flexibility of the present numerical method are verified by solving some phase-change problems and comparing the results with existing analytical, semi-analytical and numerical solutions. Results indicate that one- and two-dimensional phase-change problems can be handled easily with excellent accuracies.
Document ID
19910035736
Acquisition Source
Legacy CDMS
Document Type
Reprint (Version printed in journal)
Authors
Kim, Charn-Jung
(Michigan Univ. Ann Arbor, MI, United States)
Kaviany, Massoud
(Michigan, University Ann Arbor, United States)
Date Acquired
August 15, 2013
Publication Date
December 1, 1990
Publication Information
Publication: International Journal of Heat and Mass Transfer
Volume: 33
ISSN: 0017-9310
Subject Category
Fluid Mechanics And Heat Transfer
Accession Number
91A20359
Funding Number(s)
CONTRACT_GRANT: NAG3-850
Distribution Limits
Public
Copyright
Other

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