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Title:Non-axismmetric chimney convection in a mushy layer under a high-gravity environment
Author(s):Riahi, Daniel N.
Subject(s):Prandtl Numbers
Quakity Control
Abstract:Nonlinear buoyancy driven chimney convection in arbitrary Prandtl number melts within mushy layers during alloy solidification is considered under a high-gravity environment, where the rotation axis is inclined at an angle ϒ to the high-gravity vector. The chimneys within the mushy layer produce undesirable freckles in the final form of the solidified material, which are imperfections that reduce the quality of the material. Methods of control aiming at eliminating or reducing significantly the convective flows in the chimneys also serve to eliminate or reduce significantly the existence and presence of the chimneys in the mushy layer which can result in producing higher quality crystals. Asymptotic and scaling examinations of the governing system for a non-axisymmetric and weakly unsteady mode of chimney convection resulted in certain new analytical expressions for the leading order magnitudes of the basic flow quantities as functions of the basic flow parameters. These results indicate, in particular, that chimney convection can be reduced significantly in certain ranges of the parameter values under certain high gravity conditions and for prescribed and independent value of the radius of the chimney.
Issue Date:2000-05
Publisher:Department of Theoretical and Applied Mechanics. College of Engineering. University of Illinois at Urbana-Champaign
Series/Report:TAM R 942
2000-6017
Genre:Technical Report
Type:Text
Language:English
URI:http://hdl.handle.net/2142/112652
ISSN:0073-5264
Rights Information:Copyright 2000 Board of Trustees of the University of Illinois
Date Available in IDEALS:2021-11-04


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  • Technical Reports - Theoretical and Applied Mechanics (TAM)
    TAM technical reports include manuscripts intended for publication, theses judged to have general interest, notes prepared for short courses, symposia compiled from outstanding undergraduate projects, and reports prepared for research-sponsoring agencies.

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