Shear flow, phase change and matched asymptotic expansions: pattern formation in mushy layers

DOI10.1016/j.physd.2010.10.007zbMath1223.80010OpenAlexW2124628532MaRDI QIDQ622344

Jerome A. Neufeld, J. S. Wettlaufer

Publication date: 31 January 2011

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physd.2010.10.007

zbMATH Keywords

convectionboundary layermatched asymptotic expansionmushy layer

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Stefan problems, phase changes, etc. (80A22) Flows in porous media; filtration; seepage (76S05) Free convection (76R10) Three or more component flows (76T30) Forced convection (76R05)

Cites Work

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• Theory of Solidification
• Shearing flow over a wavy boundary
• Solidification of an alloy from a cooled boundary
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• NON-LINEAR INSTABILITY OF THE ASYMPTOTIC SUCTION VELOCITY PROFILE
• ‘Phase diagram’ of interfacial instabilities in a two-layer Couette flow and mechanism of the long-wave instability
• Flow-induced morphological instability of a mushy layer
• Shear-enhanced convection in a mushy layer
• An experimental study of shear-enhanced convection in a mushy layer
• Ripple formation on a particle bed sheared by a viscous liquid. Part 1. Steady flow
• ASYMPTOTIC ANALYSIS OF THE ORR-SOMMERFELD PROBLEM FOR BOUNDARY-LAYER FLOWS

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