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Melt Motion Due to Peltier Marking During Bridgman Crystal Growth with an Axial Magnetic FieldThis paper treats a liquid-metal flow inside an electrically insulating cylinder with electrically conducting solids above and below the liquid region. There is a uniform axial magnetic field, and there is an electric current through the liquid and both solids. Since the lower liquid-solid interface is concave into the solid and since the liquid is a better electrical conductor than the adjacent solid, the electric current is locally concentrated near the centerline. The return to a uniform current distribution involves a radial electric current which interacts with the axial magnetic field to drive an azimuthal flow. The axial variation of the centrifugal force due to the azimuthal velocity drives a meridional circulation with radial and axial velocities. This problem models the effects of Peltier marking during the vertical Bridgman growth of semiconductor crystals with an externally applied magnetic field, where the meridional circulation due to the Peltier Current may produce important mixing in the molten semiconductor.
Document ID
Document Type
Preprint (Draft being sent to journal)
Sellers, C. C.
(Illinois Univ. Urbana, IL United States)
Walker, John S.
(Illinois Univ. Urbana, IL United States)
Szofran, Frank R.
(NASA Marshall Space Flight Center Huntsville, AL United States)
Motakef, Shariar
(Cape Simulations, Inc. Newton, MA United States)
Date Acquired
August 19, 2013
Publication Date
January 1, 2000
Subject Category
Solid-State Physics
Distribution Limits
Work of the US Gov. Public Use Permitted.
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