TECHNICAL PAPERS
Oct 1, 1996

Modeling Ice-Cover Melting Using a Variable Heat Transfer Coefficient

Publication: Journal of Engineering Mechanics
Volume 122, Issue 10

Abstract

In cold regions, rivers may be partially or completely ice covered during a good part of the year. Under these conditions, heat transfer between the river flow and the atmosphere occurs simultaneously at the ice-air and ice-water interfaces of the ice cover. Heat flux from the water to the ice is the most dominant factor in the growth and decay processes of the river ice. A proper evaluation of the heat transfer coefficient at the ice-water interface is the key for an accurate computation of the heat flux and, consequently, for determining ice-cover melting. A variable heat transfer coefficient for both the entry region and for the fully established flow region was derived. The effects of this coefficient on the computation of ice-cover melting are addressed in this paper through the use of a two-dimensional numerical model. The new approach as well as other constant empirical equations used to evaluate the heat transfer coefficient were respectively used in the model to examine their effects on ice melting. Results of computations using the new approach were in a better overall agreement with experimental observations, including the leading edge region.

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References

1.
Ashton, G. D. (1979). “Suppression of river ice by thermal effluents.”CRREL Rep. 79-30, U.S. Army Cold Regions Res. Engrg. Lab., Hanover, N.H.
2.
Ashton, G. D., and Kennedy, J. F.(1972). “Ripples on underside of river ice covers.”J. Hydr. Div., 9(98), 1603–1624.
3.
Baines, W. D. (1972). “On the transfer of heat from a river to an ice sheet.”Trans. Engrg. Inst., Montreal, Canada, Vol. 5, 27–32.
4.
Baldwin, B. S., MacCormack, R. W., and Diewart, G. S. (1975). “Numerical techniques for the solution of the compressible Navier-Stokes equations and implementation of turbulence models.”AGARD Lecture Ser. No. 73, North Atlantic Treaty Org. (NATO), London, England, 2.1–2.224.
5.
Brown, A. I., and Marco, S. M. (1958). Introduction to heat transfer . McGraw-Hill Book Co., Inc., New York, N.Y.
6.
Calkins, D. J. (1984). “Ice cover melting in a shallow river.”Can. J. Civ. Engrg., Ottawa, Canada, 11(Jan.), 255–265.
7.
Chow, V. T. (1959). Open channel hydraulics . McGraw-Hill Book Co., Inc., New York, N.Y.
8.
Colburn, A. P. (1933). “A method of correlating forced convection heat transfer data and a comparison with liquid frictions.”Trans. AICHE, Vol. 29, 174–210.
9.
Dingman, S. L., Weeks, W. F., and Yen, Y. C. (1967). “The effects of thermal pollution on river ice conditions. Part 1. A general method of calculation.”CRREL Rep. 206, U.S. Army Cold Regions Res. Engrg. Lab., Hanover, N.H.
10.
Hewlett, B. Y. (1976). “Rate of recession of the leading edge of ice covers on open channel flows,” Master's thesis, Univ. of Iowa, Iowa City, Iowa.
11.
Kreith, F. (1961). The principle of heat transfer . McGraw-Hill Book Co., Inc., New York, N.Y.
12.
Marsh, P., and Prowse, T. D. (1987). “Water temperature and heat flux at the base of river ice covers.”Cold Regions Sci. and Technol., 14(Oct.), 33–50.
13.
Nezhikhovskiy, R. A.(1964). “Coefficients of roughness of bottom surface of slush-ice cover.”Soviet Hydro.: Selected Papers, 2, 127–150.
14.
Ozisik, M. N. (1985). Heat transfer . McGraw-Hill Book Co., Inc., New York, N.Y.
15.
Petukhov, B. S., and Popov, V. N. (1963). “Theoretical calculation of heat exchange and frictional resistance in turbulent flow in tubes of an incompressible fluid with variable physical properties.”J. High Temperature, 1(May), 69–83.
16.
Sarraf, S. (1990). “Heated effluent effects on ice covered rivers. J. Cold Regions Engrg., ASCE, 4(4), 161–178.
17.
Sarraf, S., and Saleh, W.(1987). “Local melting of ice cover by thermal side effluent.”J. Cold Regions Engrg., 1(3), 105–122.
18.
Schlichting, H. (1950). Boundary layer theory . McGraw-Hill Book Co., Inc., New York, N.Y.
19.
Shen, H. T., and Chiang, L.(1984). “Simulation of growth and decay of river ice cover.”J. Hydr. Engrg., ASCE, 110(7), 958–971.
20.
Sieder, E. N., and Tate, G. E.(1936). “Heat transfer and pressure drop of liquids in tubes.”Industrial and Engrg. Chem., 28, 1429–1435.
21.
Wankiewicz, A.(1984). “Analysis of winter heat flow in an ice-covered arctic stream.”Can. J. Civ. Engrg., Ottawa, Canada, 11(3), 430–443.

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Go to Journal of Engineering Mechanics
Journal of Engineering Mechanics
Volume 122Issue 10October 1996
Pages: 930 - 938

History

Published online: Oct 1, 1996
Published in print: Oct 1996

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Authors

Affiliations

Semaan Sarraf, Member, ASCE,
Prof., Civ. Engrg. Dept., Fac. of Engrg., Lebanese Univ., Tripoli, Lebanon.
Xiu Tao Zhang
Res. Asst., Civ. Engrg. Dept., Concordia Univ., 1455 de Maisonneuve Blvd., W. Montreal, Canada, H39 1M8.

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