Effect of a forced flow on 3d dendritic growth in binary systems

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Date

2011

Authors

Alexandrov, D.V.
Malygin, A.P.
Galenko, P.K.

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Volume Title

Publisher

International Conference on Heat Transfer, Fluid Mechanics and Thermodynamics

Abstract

Paper presented at the 8th International Conference on Heat Transfer, Fluid Mechanics and Thermodynamics, Mauritius, 11-13 July, 2011.
The effects of a forced flow on dendritic growth rate in binary systems are studied theoretically. By using the Oseen approximation of the Navier-Stokes equation, the linear stability analysis and the solvability criterion, one determines a scaling factor σ=2 d0DT /ρ2V as a function of the velocity of the forced flow and the impurity concentration in the melt in the three-dimensional model. The criterion obtained rallies analytic results for dendrite growth under forced convection in a pure system [1] and dendrite growth in a stagnant binary system [2].

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Keywords

Heat transfer, HEFAT, Fluid mechanics, Thermodynamics, 8th International Conference on Heat Transfer, Fluid Mechanics and Thermodynamics 2011, Forced flow, 3d dendritic growth, Binary systems, Theoretical study, Oseen approximation

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Citation

Alexandrov, DV. Malygin, AP & Galenko, PK 2011, 'Effect of a forced flow on 3d dendritic growth in binary systems', Paper presented to the 8th International Conference on Heat Transfer, Fluid Mechanics and Thermodynamics, Mauritius, 11-13 July, 2011.

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http://hdl.handle.net/2263/40496

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8th International Conference on Heat Transfer, Fluid Mechanics and Thermodynamics 2011
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