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REVIEW ARTICLES: Solidification

Structure of a Convecting Mushy Layer

[+] Author and Article Information
M. Grae Worster

Department of Engineering Sciences and Applied Mathematics, and Department of Chemical Engineering, Northwestern University, Evanston, IL 60208

Appl. Mech. Rev 43(5S), S59-S62 (May 01, 1990) doi:10.1115/1.3120852 History: Online April 30, 2009

Abstract

Steady, compositional convection in a mushy layer, cooled from below, is analysed for cases in which the Rayleigh number is very large. Solutions are found in which the flow is downwards everywhere except through narrow, vertical chimneys in the layer. The fluxes of mass, heat and solute from the mushy layer into the overlying melt are determined in terms of a single parameter that is proportional to the number density of chimneys. The model solutions can be used to interpret the results of laboratory experiments.

Copyright © 1990 by American Society of Mechanical Engineers
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