Momentum equation for dendritic solidification

P. J. Nandapurkar; D. R. Poirier; J. C. Heinrich

doi:10.1080/10407789108944851

Momentum equation for dendritic solidification

P. J. Nandapurkar, D. R. Poirier, J. C. Heinrich

Materials Science and Engineering

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21 Scopus citations

Abstract

For analyzing dendritic solidification, convection in the mushy zone is based on a momentum equation for a porous medium with a spatially varying fraction of liquid. Results are compared with those obtained with a less complete momentum equation. Calculations are done for directional solidification, with isotherms and isoconcentrates that move with a constant velocity. Thermosolutal convection as a function of time is studied by perturbing the solutal field. The total kinetic energy, the nature of the convection cells, and the isoconcentrates are significantly different for the two models. Hence the complete form of the momentum equation should be used.

Original language	English (US)
Pages (from-to)	297-311
Number of pages	15
Journal	Numerical Heat Transfer; Part A: Applications
Volume	19
Issue number	3
DOIs	https://doi.org/10.1080/10407789108944851
State	Published - 1991

ASJC Scopus subject areas

Numerical Analysis
Condensed Matter Physics

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AU - Poirier, D. R.

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AB - For analyzing dendritic solidification, convection in the mushy zone is based on a momentum equation for a porous medium with a spatially varying fraction of liquid. Results are compared with those obtained with a less complete momentum equation. Calculations are done for directional solidification, with isotherms and isoconcentrates that move with a constant velocity. Thermosolutal convection as a function of time is studied by perturbing the solutal field. The total kinetic energy, the nature of the convection cells, and the isoconcentrates are significantly different for the two models. Hence the complete form of the momentum equation should be used.

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Momentum equation for dendritic solidification

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