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)

Abstract

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
• Status: Published
• Refereed: Yes
• 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
• ISSN: 0022-1120