Phase change heat transfer with impinging supercooled droplets on an ice surface is examined. Partial solidification of incoming droplets leads to an unfrozen water layer above the ice. The significance of temperature variations within the water layer is considered. The multiphase energy balance is shown to approach the measured rate of ice growth when the surface heat input is lowered sufficiently. This asymptotic behavior is essential for establishing the proper role of heat conduction in the solid and liquid (unfrozen water) layers. Predicted results are successfully validated by comparisons with experimental data involving ice buildup on heated circular conductors.
Issue Section:
Technical Notes
Keywords:
liquid films,
temperature distribution,
heat conduction,
supercooling,
solidification,
Droplet,
Heat Transfer,
Impingement,
Multi-Phase
Topics:
Drops,
Energy budget (Physics),
Heat,
Heat conduction,
Ice,
Temperature,
Water,
Temperature gradient,
Glazes,
Heat transfer,
Heating
1.
Al-Khalil
, K. M.
, Keith
, Jr., 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
.2.
Aziz
, S. D.
, and Chandra
, S.
, 2000
, “Impact, Recoil and Splashing of Molten Metal Droplets
,” Int. J. Heat Mass Transf.
, 43
, pp. 2841
–2857
.3.
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
.4.
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
.5.
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.
6.
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.
7.
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
.8.
Messinger
, B. L.
, 1953
, “Equilibrium Temperature of an Unheated Icing Surface as a Function of Air Speed
,” J. Aeronautical Sciences
, 20
, pp. 29
–42
.9.
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
.10.
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
.11.
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
.12.
Poots, G., 1996, Ice and Snow Accretion on Structures, John Wiley and Sons Inc., New York.
13.
Naterer, G. F., 2002, Heat Transfer in Single and Multiphase Systems, CRC Press, Boca Raton, FL.
14.
Makkonen
, L.
, 1984
, “Modeling of Ice Accretion on Wires
,” J. Clim. Appl. Meteorol.
, 23
, pp. 929
–939
.15.
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.
Copyright © 2003
by ASME
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