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.
Issue Section:
Melting and Solidification
1.
Bennon
W. D.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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
.
This content is only available via PDF.
Copyright © 1995
by The American Society of Mechanical Engineers
You do not currently have access to this content.