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TECHNICAL NOTES

A Quasi-Steady Analytical Solution to Freezing Planar Couette Flow With Viscous Dissipation

[+] Author and Article Information
Carsie A. Hall

Department of Mechanical Engineering, University of New Orleans, New Orleans, LA 70148 e-mail: cahall@uno.edu

Calvin Mackie

Department of Mechanical Engineering, Tulane University, New Orleans, LA 70118 e-mail: cmackie@mailhost.tcs.tulane.edu

J. Heat Transfer 123(2), 407-411 (Jul 10, 2000) (5 pages) doi:10.1115/1.1351177 History: Received December 17, 1999; Revised July 10, 2000
Copyright © 2001 by ASME
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References

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.
Slocum, A. H., 1992, Precision Machine Design, Prentice-Hall, Englewood Cliffs, NJ.
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.
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.
Huang,  S. C., 1984, “Melting of Semi-Infinite Region with Viscous Heating,” Int. J. Heat Mass Transf., 27, pp. 1337–1343.
Bird, R. B., Stewart, W. E., and Lightfoot, E. N., 1960, Transport Phenomena, Wiley, New York.
Alexiades, V., and Solomon, A. D., 1993, Mathematical Modeling of Melting and Freezing Processes, Hemisphere, Washington, D.C.

Figures

Grahic Jump Location
Schematic model of planar Couette flow region undergoing solidification
Grahic Jump Location
Graphical representation of temporal variations in normalized freeze front location and interface Nusselt number (or dimensionless power density from Eq. (24)) for selected (a) Brinkman numbers and (b) Biot numbers

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