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The combined effects of shear and buoyancy on phase boundary stability

Published online by Cambridge University Press:  17 April 2019

S. Toppaladoddi  and
J. S. Wettlaufer Open the ORCID record for J. S. Wettlaufer [Opens in a new window]
S. Toppaladoddi
Affiliation:
University of Oxford, Oxford OX2 6GG, UK Yale University, New Haven, CT 06520, USA
J. S. Wettlaufer*
Affiliation:
University of Oxford, Oxford OX2 6GG, UK Yale University, New Haven, CT 06520, USA Nordita, Royal Institute of Technology and Stockholm University, Stockholm SE-10691, Sweden
*
†Email address for correspondence: [email protected]
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Abstract

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.

JFM classification

Convection: Buoyancy-driven instability Phase change: Morphological instability Phase change: Solidification/melting
Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 868 , 10 June 2019 , pp. 648 - 665
Copyright
© 2019 Cambridge University Press 

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