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The combined effects of shear and buoyancy on phase boundary stability
Univ Oxford, Oxford OX2 6GG, England.;Yale Univ, New Haven, CT 06520 USA..
KTH, Centres, Nordic Institute for Theoretical Physics NORDITA.
2019 (English)In: Journal of Fluid Mechanics, ISSN 0022-1120, E-ISSN 1469-7645, Vol. 868, p. 648-665Article in journal (Refereed) Published
Abstract [en]

We study the effects of externally imposed shear and buoyancy driven flows on the stability of a solid-liquid interface. A linear stability analysis of shear and buoyancy-driven flow of a melt over its solid phase shows that buoyancy is the only destabilizing factor and that the regime of shear flow here, by inhibiting vertical motions and hence the upward heat flux, stabilizes the system. It is also shown that all perturbations to the solid-liquid interface decay at a very modest shear flow strength. However, at much larger shear-flow strength, where flow instabilities coupled with buoyancy might enhance vertical motions, a re-entrant instability may arise.

Place, publisher, year, edition, pages
CAMBRIDGE UNIV PRESS , 2019. Vol. 868, p. 648-665
Keywords [en]
buoyancy-driven instability, morphological instability, solidification, melting, LVES RT, 1971, JOURNAL OF CRYSTAL GROWTH, V8, P13
National Category
Fluid Mechanics and Acoustics
Identifiers
URN: urn:nbn:se:kth:diva-251270DOI: 10.1017/jfm.2019.153ISI: 000465313700001Scopus ID: 2-s2.0-85064854380OAI: oai:DiVA.org:kth-251270DiVA, id: diva2:1315227
Note

QC 20190513

Available from: 2019-05-13 Created: 2019-05-13 Last updated: 2019-05-29Bibliographically approved

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Wettlaufer, John

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