Electromagnetic induction is considered as a means of altering convection during the solidification of a Pb–19 wt pct Sn alloy. Application of a time-varying magnetic field induces Lorentz forces, which augment thermal buoyancy forces in the melt and oppose solutal buoyancy forces in the mushy zone. A continuum model for binary solid–liquid phase change is extended to account for turbulence, and laminar and turbulent flow predictions are contrasted. Results indicate that turbulence decreases the propensity for channel development and macrosegregation by enhancing mixing and reducing the effective Lewis number from 8600 to near unity.

1.
Bennon
W. D.
, and
Incropera
F. P.
,
1987
, “
A Continuum Model for Momentum, Heat and Species Transport in Binary Solid–Liquid Phase Change Systems—I. Model Formulation
,”
Int. J. Heat Mass Transfer
, Vol.
30
, pp.
2161
2170
.
2.
Benocci, C., 1983, “Turbulence Modeling in Liquid Metal Free Convection,” The von Karman Institute for Fluid Dynamics Lecture Series, Vol. 1, May 30–June 3, Rhode Saint Gene`se, Belgium.
3.
Bremhorst
K.
, and
Krebs
L.
,
1992
, “
Experimentally Determined Turbulent Prandtl Numbers in Liquid Sodium at Low Reynolds Numbers
,”
Int. J. Heat Mass Transfer
, Vol.
35
, pp.
351
359
.
4.
Jones
W. P.
, and
Launder
B. E.
,
1973
, “
The Calculation of Low-Reynolds-Number Phenomena With a Two-Equation Model of Turbulence
,”
Int. J. Heat Mass Transfer
, Vol.
16
, pp.
1119
1130
.
5.
Launder
B. E.
, and
Spalding
D. B.
,
1974
, “
The Numerical Computation of Turbulent Flows
,”
Computer Methods in Applied Mechanics and Engineering
, Vol.
3
, pp.
269
289
.
6.
Mohamad, A. A., 1992, “Mixed Convection in Lid-Driven Shallow Cavities,” Ph.D. Thesis, Purdue University, West Lafayette, IN.
7.
Neilson
D. G.
, and
Incropera
F. P.
,
1993
, “
Three-Dimensional Considerations of Unidirectional Solidification in a Binary Liquid
,”
Numerical Heat Transfer Part A
, Vol.
23
, pp.
1
20
.
8.
Patankar, S. V., 1980, Numerical Heat Transfer and Fluid Flow, McGraw-Hill, New York.
9.
Patel
V. C.
,
Rodi
W.
, and
Scheuerer
G.
,
1985
, “
Turbulence Models for Near-Wall and Low-Reynolds-Number Flows: A Review
,”
AIAA Journal
, Vol.
23
, pp.
1308
1319
.
10.
Prescott
P. J.
, and
Incropera
F. P.
,
1991
, “
Numerical Simulation of a Solidifying Pb–Sn Alloy: The Effects of Cooling Rate on Thermosolutal Convection and Macrosegregation
,”
Metall. Trans. B
, Vol.
22B
, pp.
529
540
.
11.
Prescott
P. J.
,
Incropera
F. P.
, and
Bennon
W. D.
,
1991
, “
Modeling of Dendritic Solidification Systems: Reassessment of the Continuum Momentum Equation
,”
Int. J. Heat Mass Transfer
, Vol.
34
, pp.
2351
2359
.
12.
Prescott, P. J., 1992, “Convection Transport Phenomena During Solidification of Binary Metal Alloys and the Effects of Magnetic Fields,” Ph.D. Thesis, Purdue University, West Lafayette, IN.
13.
Prescott, P. J., Incropera, F. P., and Gaskell, D. R., 1992, “The Effects of Undercooling, Recalescence and Solid Transport on the Solidification of Binary Metal Alloys,” in: Transport Phenomena in Materials Processing and Manufacturing, Charmchi et al., eds., ASME HTD-Vol. 196, pp. 31–39.
14.
Prescott
P. J.
, and
Incropera
F. P.
,
1993
, “
Magnetically Damped Convection During Solidification of a Binary Metal Alloy
,”
ASME JOURNAL OF HEAT TRANSFER
, Vol.
115
, pp.
302
310
.
15.
Prescott, P. J., and Incropera, F. P., 1994a, “The Effect of Turbulence on Solidification of a Binary Metal Alloy With Electromagnetic Stirring,” in: Transport Phenomena in Materials Processing and Manufacturing 1994, Alam et al., eds., ASME HTD-Vol. 280, pp. 59–69.
16.
Prescott
P. J.
, and
Incropera
F. P.
,
1994
b, “
Convective Transport Phenomena and Macrosegregation During Solidification of a Binary Metal Alloy—I. Numerical Predictions
,”
ASME JOURNAL OF HEAT TRANSFER
, Vol.
116
, pp.
735
741
.
17.
Prescott
P. J.
,
Incropera
F. P.
, and
Gaskell
D. R.
,
1994
, “
Convective Transport Phenomena and Macrosegregation During Solidification of a Binary Metal Alloy—II. Experiments and Comparisons With Numerical Predictions
,”
ASME JOURNAL OF HEAT TRANSFER
, Vol.
116
, pp.
742
749
.
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