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TECHNICAL NOTES

Temperature Gradient in the Unfrozen Liquid Layer for Multiphase Energy Balance With Incoming Droplets

[+] Author and Article Information
G. F. Naterer

Department of Mechanical and Industrial Engineering, University of Manitoba, 15 Gillson Street, Winnipeg, Manitoba, Canada, R3T 2N2

J. Heat Transfer 125(1), 186-189 (Jan 29, 2003) (4 pages) doi:10.1115/1.1532015 History: Received February 04, 2002; Revised October 14, 2002; Online January 29, 2003
Copyright © 2003 by ASME
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References

Al-Khalil,  K. M., Keith,  T. G., and De Witt,  K. J., 1994, “Development of an Improved Model for Runback Water on Aircraft Surfaces,” AIAA Journal of Aircraft, 31, pp. 271–278.
Aziz,  S. D., and Chandra,  S., 2000, “Impact, Recoil and Splashing of Molten Metal Droplets,” Int. J. Heat Mass Transf., 43, pp. 2841–2857.
Naterer,  G. F., 2001, “Establishing Heat—Entropy Analogies for Interface Tracking in Phase Change Heat Transfer with Fluid Flow,” Int. J. Heat Mass Transf., 44(15), pp. 2903–2916.
Naterer,  G. F., 2002, “Multiphase Flow with Impinging Droplets and Airstream Interaction at a Moving Gas/Solid Interface,” Int. J. Multiphase Flow, 28(3), pp. 451–477.
Goodwin, E. J., Mozer, J. D., Di Gioia, A. M., and Power, B. A., 1982, “Predicting Ice and Snow Loads for Transmission Lines,” Proceedings, 1st IWAIS, pp. 267–273.
Lu, M. L., Popplewell, N., Shah, A., Barrett, W., and Au, A., 1998, “Mass of Ice Accretion from Freezing Rain Simulations,” Proceedings, 8th IWAIS, Reykjavik, Iceland.
Naterer,  G. F., Deng,  H., and Popplewell,  N., 1999, “Predicting and Reducing Glaze Ice Accretion on Electric Power Lines with Joule Heating: Theory and Experiments,” CSME Transactions, 23(1A), pp. 51–70.
Messinger,  B. L., 1953, “Equilibrium Temperature of an Unheated Icing Surface as a Function of Air Speed,” J. Aeronautical Sciences, 20, pp. 29–42.
Myers,  T. G., and Hammond,  D. W., 1999, “Ice and Water Film Growth from Incoming Supercooled Droplets,” Int. J. Heat Mass Transf., 42, pp. 2233–2242.
Al-Khalil,  K. M., Keith,  T. G., and De Witt,  K. J., 1993, “New Concept in Runback Water Modeling for Anti-Iced Aircraft Surfaces,” AIAA Journal of Aircraft, 30(1), pp. 41–49.
Hansman,  R. J., and Turncock,  S. R., 1989, “Investigation of Surface Water Behaviour During Glaze Ice Accretion,” AIAA Journal of Aircraft, 26(2), pp. 140–147.
Poots, G., 1996, Ice and Snow Accretion on Structures, John Wiley and Sons Inc., New York.
Naterer, G. F., 2002, Heat Transfer in Single and Multiphase Systems, CRC Press, Boca Raton, FL.
Makkonen,  L., 1984, “Modeling of Ice Accretion on Wires,” J. Clim. Appl. Meteorol., 23, pp. 929–939.
Lu, M., Popplewell, N., Shah, A. H., Deng, H., and Naterer, G. F., 1999, “A Semi-Empirical Icing Model for an Energized Power Line,” internal report, Department of Mechanical and Industrial Engineering, University of Manitoba, Winnipeg, Canada.

Figures

Grahic Jump Location
Schematic of surface film and solidified layer with incoming droplets
Grahic Jump Location
Predicted and measured ice thickness
Grahic Jump Location
Ice thickness for heated and unheated surfaces
Grahic Jump Location
Effects of temperature gradient on solidified layer growth

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