University of Illinois Urbana-Champaign

Non-axismmetric chimney convection in a mushy layer under a high-gravity environment

Riahi, Daniel N.

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https://hdl.handle.net/2142/112652

Description

Title
Non-axismmetric chimney convection in a mushy layer under a high-gravity environment
Author(s)
Riahi, Daniel N.
Issue Date
2000-05
Keyword(s)
  • Prandtl Numbers
  • Quakity Control
Date of Ingest
2021-11-04T16:29:39Z
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.
Publisher
Department of Theoretical and Applied Mechanics. College of Engineering. University of Illinois at Urbana-Champaign
Series/Report Name or Number
  • TAM R 942
  • 2000-6017
ISSN
0073-5264
Type of Resource
text
Language
eng
Permalink
http://hdl.handle.net/2142/112652
Copyright and License Information
Copyright 2000 Board of Trustees of the University of Illinois

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Technical Reports - Theoretical and Applied Mechanics (TAM) PRIMARY
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.