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TECHNICAL PAPERS: Heat Transfer in Manufacturing

A Model of Dopant Transport During Bridgman Crystal Growth With Magnetically Damped Buoyant Convection

[+] Author and Article Information
N. Ma

Department of Mechanical and Aerospace Engineering and Engineering Mechanics, University of Missouri at Rolla, 1870 Miner Circle, Rolla, MO 65409 e-mail: ma@umr.edu

J. S. Walker

Department of Mechanical Engineering, and Industrial Engineering, University of Illinois at Urbana-Champaign, 1206 West Green Street, Urbana, IL 61801 e-mail: jswalker@uiuc.edu

J. Heat Transfer 122(1), 159-164 (Aug 10, 1999) (6 pages) doi:10.1115/1.521446 History: Received November 11, 1998; Revised August 10, 1999
Copyright © 2000 by ASME
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References

Figures

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Vertical Bridgman ampoule with a uniform, steady, axial magnetic field Boz⁁ and with coordinates normalized by the ampoule’s inner radius
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Dimensionless isotherms for Bi=10,b=5, and d=0.5
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Flow subregions of the melt for Ha≫1:c=inviscid core,p=parallel layer adjacent to ampoule wall and parallel to the magnetic field, and h=Hartmann layers adjacent to the crystal-melt interface and the top of the ampoule
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Streamlines for the isotherms in Fig. 2 with Bo=2T and b=5
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Melt concentration C(r,Ξ,t) for Bo=2T;(a)t=0.08263,(b)t=8.026
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Crystal concentration Cs(r,z) for Bo=2T
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Axial variation of the crystal composition for the radially averaged concentration for Bo=2T and the well-mixed limit

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