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Ideal solidification of a liquid-metal boundary layer flow over a conveying substrate

Published online by Cambridge University Press:  23 October 2001

HANS B. LÖFGREN
Affiliation:
Division of Fluid Mechanics, Luleå University of Technology, S-971 87 Luleå, Sweden

Abstract

The ideal solidification problem of the two-dimensional boundary layer flow of a superheated liquid-metal binary alloy over a conveying substrate is examined. Analytical results for the velocities, the solute concentration and the temperature field are found in the asymptotic limits of small Prandtl numbers and large Schmidt numbers. The growth of the solidifying front is shown to follow the square-root law.

Type
Research Article
Copyright
© 2001 Cambridge University Press

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