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タイトル: An analytical and numerical study of coupled transient natural convection and solidification in a rectangular enclosure
著者: Vynnycky, M.
Kimura, Shigeo link image
木村, 繁男
発行日: 2007年12月
出版社(者): Elsevier
雑誌名: International Journal of Heat and Mass Transfer
ISSN: 0017-9310
巻: 50
号: 25-26
開始ページ: 5204
終了ページ: 5214
キーワード: Asymptotics
Finite-element methods
Natural convection
Solidification
抄録: The transient process of the solidification of a pure liquid phase-change material in the presence of natural convection in a rectangular enclosure is considered both analytically and numerically. One vertical boundary is held at a temperature below the melting-point of the material, the other above; the horizontal boundaries are both assumed adiabatic. A nondimensional analysis of the problem, principally in terms of the Rayleigh (Ra) and Stefan (St) numbers, indicates that some asymptotic simplification is possible for materials often considered in the literature (water, gallium, lauric acid). This observation suggests a way to simplify the full problem when Ra ≫ 1 and St ≪ 1, giving a conventional boundary value problem for the liquid phase and pointwise-in-space first-order ODEs for the evolution in time of the solidification front. The method is tested against full 2D finite-element-based transient numerical simulations of solidification. In addition, simpler approaches for determining the average thickness of the solid layer, based on boundary-layer and enclosure flow correlations, are also investigated. © 2007 Elsevier Ltd. All rights reserved.
DOI: 10.1016/j.ijheatmasstransfer.2007.06.036
URI: http://hdl.handle.net/2297/7662
資料種別: Journal Article
版表示: author
出現コレクション:1. 査読済論文

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