Change search
ReferencesLink to record
Permanent link

Direct link
An analytical and numerical study of coupled transient natural convection and solidification in a rectangular enclosure
KTH, School of Engineering Sciences (SCI), Mechanics.ORCID iD: 0000-0002-8318-1251
2007 (English)In: International Journal of Heat and Mass Transfer, ISSN 0017-9310, Vol. 50, no 25-26, 5204-5214 p.Article in journal (Refereed) Published
Abstract [en]

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.

Place, publisher, year, edition, pages
2007. Vol. 50, no 25-26, 5204-5214 p.
Keyword [en]
solidification, natural convection, finite-element methods, asymptotics
National Category
Mechanical Engineering
URN: urn:nbn:se:kth:diva-37309DOI: 10.1016/j.ijheatmasstransfer.2007.06.036ISI: 000252099200026ScopusID: 2-s2.0-36549050867OAI: diva2:433010
Available from: 2011-08-08 Created: 2011-08-08 Last updated: 2011-08-08Bibliographically approved

Open Access in DiVA

No full text

Other links

Publisher's full textScopus

Search in DiVA

By author/editor
Vynnycky, Michael
By organisation
In the same journal
International Journal of Heat and Mass Transfer
Mechanical Engineering

Search outside of DiVA

GoogleGoogle Scholar
The number of downloads is the sum of all downloads of full texts. It may include eg previous versions that are now no longer available

Altmetric score

Total: 28 hits
ReferencesLink to record
Permanent link

Direct link