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The combined effects of shear and buoyancy on phase boundary stability
Stockholm University, Nordic Institute for Theoretical Physics (Nordita). University of Oxford, UK; Yale University, USA.
Number of Authors: 22019 (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
2019. Vol. 868, p. 648-665
Keywords [en]
buoyancy-driven instability, morphological instability, solidification, melting
National Category
Physical Sciences
Identifiers
URN: urn:nbn:se:su:diva-169225DOI: 10.1017/jfm.2019.153ISI: 000465313700001OAI: oai:DiVA.org:su-169225DiVA, id: diva2:1326642
Available from: 2019-06-18 Created: 2019-06-18 Last updated: 2019-06-18Bibliographically approved

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Wettlaufer, John S.
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