A quasi-steady analytical solution to freezing planar laminar Couette flow with viscous heating effects is presented. Closed-form expressions for the dimensionless freeze-front location, interface Nusselt number, and dimensionless power density (or dimensionless shear stress) are derived as a function of various dimensionless parameters. Several classical results are obtained in the appropriate asymptotic limits.
Issue Section:
Technical Notes
Keywords:
freezing,
Couette flow,
two-phase flow,
Analytical,
Conduction,
Heat Transfer,
Phase Change,
Solidification
1.
Cheung, F. B., and Epstein, M., 1984, “Solidification and Melting in Fluid Flow,” in Advances in Transport Processes, A. Mujumdar and R. A. Mashelkar, eds., Vol. 3, Wiley, New York, pp. 35–117.
2.
Slocum, A. H., 1992, Precision Machine Design, Prentice-Hall, Englewood Cliffs, NJ.
3.
Luelf
, W. C.
, and Burmeister
, L. C.
, 1996
, “Viscous Dissipation Effect on Pressure Gradient for Laminar Flow of a Non-Newtonian Liquid Through a Duct of Subfreezing Wall Temperature
,” ASME J. Heat Transfer
, 118
, pp. 973
–976
.4.
Huang
, T.
, Liu
, S.
, Yang
, Y.
, Lu
, D.
, and Zhou
, Y.
, 1993
, “Coupling of Couette Flow and Crystal Morphologies in Directional Freezing
,” J. Cryst. Growth
, 128
, pp. 167
–172
.5.
Huang
, S. C.
, 1984
, “Melting of Semi-Infinite Region with Viscous Heating
,” Int. J. Heat Mass Transf.
, 27
, pp. 1337
–1343
.6.
Bird, R. B., Stewart, W. E., and Lightfoot, E. N., 1960, Transport Phenomena, Wiley, New York.
7.
Alexiades, V., and Solomon, A. D., 1993, Mathematical Modeling of Melting and Freezing Processes, Hemisphere, Washington, D.C.
Copyright © 2001
by ASME
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