Effects of vertical magnetic field on chimney convection in mushy layer
Riahi, Daniel N.
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https://hdl.handle.net/2142/112626
Description
Title
Effects of vertical magnetic field on chimney convection in mushy layer
Author(s)
Riahi, Daniel N.
Issue Date
1999-08
Keyword(s)
Vertical Magnetic Field
Mushy Layers
Chimney Convection
Abstract
Nonlinear compositional convection in cyclindrical chimneys within a mushy layer during alloy solidification is investigated under an externally imposed magnetic field in the vertical direction. These chimneys produce freckles in the final form of the solidified materials. Freckles are imperfections that reduce the quality of the solidified materials. The undesirable effects of the chimneys can be reduced by reducing the effects of convection within the chimneys. Asymptotic and scaling examinations are done to weakly nonaxisymmetric convection in the chimneys. The effects of the externally imposed magnetic field is represented by the Chandrasekhar number Q. It is found that for sufficiently large values of Q, convection and the volume flux in the chimneys decrease with increasing Q. Conditions on Q and other parameters are determined under which the walls of the chimneys can or cannot be in the vertical direction.
Publisher
Department of Theoretical and Applied Mechanics. College of Engineering. University of Illinois at Urbana-Champaign
Series/Report Name or Number
TAM R 918
1999-6020
ISSN
0073-5264
Type of Resource
text
Language
eng
Permalink
http://hdl.handle.net/2142/112626
Copyright and License Information
Copyright 1999 Board of Trustees of the University of Illinois
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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