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Free convection in laterally solidifying mushy regions

Published online by Cambridge University Press:  04 July 2006

PETER GUBA  and
M. GRAE WORSTER
PETER GUBA
Affiliation:
Institute of Theoretical Geophysics, Department of Applied Mathematics and Theoretical Physics, University of Cambridge, Wilberforce Road, Cambridge CB3 0WA, UK Present address: Department of Applied Mathematics and Statistics, Faculty of Mathematics, Physics and Informatics, Comenius University, 842 48 Bratislava, Slovakia.
M. GRAE WORSTER
Affiliation:
Institute of Theoretical Geophysics, Department of Applied Mathematics and Theoretical Physics, University of Cambridge, Wilberforce Road, Cambridge CB3 0WA, UK
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Abstract

An analysis is presented of the lateral solidification of a semi-infinite mushy region influenced by vertical, buoyancy-driven convection of the residual, interstitial melt. We consider a parameter regime in which the flow is steady on the time scale of the transient evolution of the mushy region. Our idealized model predicts patterns of macrosegregation consistent with earlier experimental studies and sheds light on the mechanisms involved.

Type
Papers
Information
Journal of Fluid Mechanics , Volume 558 , 10 July 2006 , pp. 69 - 78
Copyright
© 2006 Cambridge University Press

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