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TECHNICAL PAPERS: Natural and Mixed Convection

Heat and Mass Transfer Characteristics of a Temperature and Concentration Combined Convection Due to a Vertical Ice Plate Melting

[+] Author and Article Information
M. Sugawara, M. Tago

Department of Mechanical Engineering, Faculty of Engineering and Resource Science, Akita University, Akita 010-8502, Japan

Thomas F. Irvine

Department of Mechanical Engineering, State University of New York at Stony Brook, Stony Brook, NY 11794, USA

J. Heat Transfer 125(1), 39-47 (Jan 29, 2003) (9 pages) doi:10.1115/1.1513577 History: Received May 24, 2001; Revised June 26, 2002; Online January 29, 2003
Copyright © 2003 by ASME
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References

Griffin,  O. M., 1973, “Heat, Mass, and Momentum Transfer During the Melting of Glacial Ice in Sea Water,” ASME J. Heat Transfer, 95, pp. 317–323.
Marschall,  E., 1977, “Free-Convection Melting on Glacial Ice in Saline Water,” Lett. Heat Mass Transfer, 4, pp. 381–384.
Huppert,  H. E., and Turner,  J. S., 1980, “Ice Blocks Melting Into a Salinity Gradient,” J. Fluid Mech., 100, pp. 367–384.
Josberger,  E. G., and Martin,  S., 1981, “A Laboratory and Theoretical Study of the Boundary Layer Adjacent to a Vertical Melting Ice Wall in Salt Water,” J. Fluid Mech., 111, pp. 439–473.
Carey,  V. P., and Gebhart,  B., 1982, “Transport Near a Vertical Ice Surface Melting in Saline Water, Some Numerical Calculations,” J. Fluid Mech., 117, pp. 379–402.
Carey,  V. P., and Gebhart,  B., 1982, “Transport Near a Vertical Ice Surface Melting in Saline Water, Experiments at Low Salinities,” J. Fluid Mech., 117, pp. 403–423.
Sammakia,  B., and Gebhart,  B., 1983, “Transport Near a Vertical Ice Surface Melting in Water of Various Salinity Levels,” Int. J. Heat Mass Transf., 26, pp. 1439–1452.
Johnson,  R. S., and Mollendorf,  J. C., 1984, “Transport From a Vertical Ice Surface Melting in Saline Water,” Int. J. Heat Mass Transf., 27, pp. 1928–1932.
Sugawara,  M., Inaba,  H., Nishimura,  H., and Mizuno,  M., 1987, “Melting of Horizontal Ice Layer From Above by Combined Effect of Temperature and Concentration of Aqua-Solvent,” Waerme- Stoffuebertrag., 21, pp. 227–232.
Beckermann,  C., and Viskanta,  R., 1988, “Double-Diffusive Convection Due to Melting,” Int. J. Heat Mass Transf., 31, pp. 2077–2089.
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Fukusako,  S., Tago,  M., Yamada,  M., Kitayama,  K., and Watanabe,  C., 1992, “Melting Heat Transfer From a Horizontal Ice Cylinder Immersed in Quiescent Saline Water,” ASME J. Heat Transfer, 114, pp. 34–40.
Sugawara,  M., and Sasaki,  S., 1993, “Melting of Snow With Double Effect of Temperature and Concentration,” ASME J. Heat Transfer, 115, pp. 771–775.
Sugawara,  M., and Fujita,  T., 1997, “Melting of an Ice Layer With Double Effect of Temperature and Concentration (2nd Report: Development of Numerical Predictions With Flow Visualization),” Trans. Jpn. Soc. Mech. Eng., Ser. B, 63, pp. 2784–2792.
Sugawara,  M., and Irvine,  T. F., 2000, “The Effect of Concentration Gradient on the Melting of a Horizontal Ice Plate From Above,” Int. J. Heat Mass Transf., 43, pp. 1591–1601.
Mergui,  S., and Gobin,  D., 2000, “Transient Double Diffusive Convection in a Vertical Enclosure With Asymmetrical Boundary Conditions,” ASME J. Heat Transfer, 122, pp. 598–602.
Carslaw, H. S., and Jaeger, J. C., 1959, Conduction of Heat in Solids, 2nd ed., Oxford at the Clarendon Press, p. 284.
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Figures

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Schematic of the physical model and coordinate system
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View of the experimental apparatus for the melting of an ice plate
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(1), (2), and (3): (a) visual flow observation in the liquid and predicted results of (b) velocity vectors; (c) isotherms, and (d) concentration isopleths at t=5 min for (1) W=50 mm, (2) W=25 mm, and (3) W=15 mm (H=100 mm, δ=10 mm, Ci=20 wt%, Tsi=TLi=−5°C)
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Predicted profiles of the vertical velocity component v(x=0: melting front)
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Predicted profiles of temperature (T) and water concentration (1−C) near the melting front (x=0: melting front)
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Comparison of predictions and experiments for the temperature T1(y1=50 mm), T2(y2=90 mm), and T3(y3=10 mm) and the mean melting mass M
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Effect of the liquid width W on the mean melting mass M(H=100 mm, δ=10 mm, Ci=20 wt%, Tsi=TLi=−5°C)
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Effect of the mass diffusion coefficient on the mean melting mass
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Transient mean melting Nusselt numbers of NuiceW and NuLW and thermal Grashof number GrTW(t<20 min)

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