Localisation of convection in mushy layers by weak background flow

Roper, S.M. , Davis, S.H. and Voorhees, P.W. (2011) Localisation of convection in mushy layers by weak background flow. Journal of Fluid Mechanics, 675, pp. 518-528. (doi: 10.1017/jfm.2011.117)

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Publisher's URL: http://dx.doi.org/10.1017/jfm.2011.117


It is known that freckles form at the sidewalls of directionally solidified materials. We present a weakly nonlinear analysis of the effects of a weak and slowly varying background flow formed by non-axial thermal gradients on convection near onset in a mushy layer. We find that in the two-dimensional case, the onset of mush convection occurs away from the walls. However if three-dimensional disturbances are allowed, the onset occurs near the walls of the container confining the mush. We derive amplitude equations governing this behaviour and simulate their evolution numerically.

Item Type:Articles
Glasgow Author(s) Enlighten ID:Roper, Dr Steven
Authors: Roper, S.M., Davis, S.H., and Voorhees, P.W.
Subjects:Q Science > Q Science (General)
College/School:College of Science and Engineering > School of Mathematics and Statistics > Mathematics
Journal Name:Journal of Fluid Mechanics

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