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Löfgren, Hans B.

Ideal solidification of a liquid-metal boundary layer flow over a conveying substrate. (English) Zbl 0999.76137

J. Fluid Mech. 446, 121-131 (2001).

Summary: We examine the ideal solidification problem of two-dimensional boundary layer flow of a superheated liquid-metal binary alloy over a conveying substrate. Analytical results for velocities, solute concentration and 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 law.

Cited in 2 Documents

MSC:

76T99	Multiphase and multicomponent flows
76M45	Asymptotic methods, singular perturbations applied to problems in fluid mechanics
76D10	Boundary-layer theory, separation and reattachment, higher-order effects
80A22	Stefan problems, phase changes, etc.

Keywords:

asymptotic solution; growth of solidifying front; ideal solidification; two-dimensional boundary layer flow; superheated liquid-metal binary alloy; conveying substrate; solute concentration; temperature field; small Prandtl numbers; large Schmidt numbers; square-root law

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