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TECHNICAL PAPERS: Melting and Solidification

Heat Transfer Characteristics of Melting Ice Spheres Under Forced and Mixed Convection

[+] Author and Article Information
Y. L. Hao, Y.-X. Tao

Department of Mechanical Engineering, Florida International University, Miami, FL 33199

J. Heat Transfer 124(5), 891-903 (Sep 11, 2002) (13 pages) doi:10.1115/1.1494090 History: Received October 24, 2001; Revised April 16, 2002; Online September 11, 2002
Copyright © 2002 by ASME
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References

Figures

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Schematic of the test apparatus
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Volume element in the ice sphere and volume elements between t and t+dt
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Typical video pictures of the ice sphere in the melting process (water flows horizontally from the right side to the left side): (a) Side view; (b) top view.
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Shape change of ice particle in the melting process: Tl0=26°C,vl∞=0.06 m/s,Ts0=−16°C,d0=36 mm,Gr0/Re02=0.319. 1—0 s; 2—20 s; 3—35 s; 4—50 s; 5—65 s; 6—80 s; 7—95 s; 8—110 s; 9—125 s: (a) In Cartesian coordinates; (b) in spherical coordinates with the center of particle coinciding with the origin.
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Temperature-time histories at the inlet and the ice center: Tl0=26°C,vl∞=0.06 m/s,Ts0=−16°C,d0=36 mm,Gr0/Re02=0.319. 1—inlet; 2—center of ice.
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Variations of total heat transfer rate, total latent heat for fusion, and total conducted heat into the inside with time in the melting process: Tl0=26°C,vl∞=0.06 m/s,Ts0=−16°C,d0=36 mm,Gr0/Re02=0.319. 1—convective heat transfer from water to interface; 2—total latent heat for fusion; 3—heat conducted into the inside of ice.
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Variation of diameters and shape factor with time in the melting process: Tl0=26°C,vl∞=0.06 m/s,Ts0=−16°C,d0=36 mm,Gr0/Re02=0.319. 1—diameter based on volume of ice, dV; 2—diameter based on surface area of ice, ds; 3—shape factor, ϕ.
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Local melting rate ṁ(θ) at different time in the melting process: Tl0=26°C,vl∞=0.06 m/s,Ts0=−16°C,d0=36 mm,Gr0/Re02=0.319.
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Local heat transfer coefficient h(θ) at different time in the melting process: Tl0=26°C,vl∞=0.06 m/s,Ts0=−16°C,d0=36 mm,Gr0/Re02=0.319.
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Local Nusselt number Nu(θ) at different time in the melting process: Tl0=26°C,vl∞=0.06 m/s,Ts0=−16°C,d0=36 mm,Gr0/Re02=0.319.
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Peak local Nusselt number Nupeak and the location θpeak during the melting process: 1—Tl0=26°C,vl∞=0.06 m/s,Ts0=−16°C,d0=36 mm,Gr0/Re02=0.319, 2—Tl0=16°C,vl∞=0.06 m/s,Ts0=−16°C,d0=36 mm,Gr0/Re02=0.093.
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Compared experimental results at different water velocities: –Tl0=16°C,vl∞=0.06 m/s,Ts0=−9°C,d0=36 mm,Gr0/Re02=0.093. - - - - - - Tl0=16°C,vl∞=0.04 m/s,Ts0=−9°C,d0=36 mm,Gr0/Re02=0.209. (a) R; (b) ṁ; (c) Nu.
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Compared experimental results at different water temperatures: –Tl0=30°C,vl∞=0.06 m/s,Ts0=−9°C,d0=36 mm,Gr0/Re02=0.440. - - - - - - Tl0=16°C,vl∞=0.06 m/s,Ts0=−9°C,d0=36 mm,Gr0/Re02=0.093. (a) R; (b) ṁ; (c) Nu.
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Experimental results at a slow water velocity: Tl0=21°C,vl∞=0.01 m/s,Ts0=−3°C,d0=36 mm,Gr0/Re02=6.98. (a) Shape change; (b) ṁ; (c) h; (d) Nu.
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Variation of melting rate of ice particle with time at different water velocities: Tl0=16°C,Ts0=−8°C,d0=36 mm.
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Variation of average heat transfer coefficient with time at different water velocities: Tl0=16°C,Ts0=−8°C,d0=36 mm.
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Variation of Nusselt number as a function of (Gr/Re2) at different water velocities: Tl0=16°C,Ts0=−8°C,d0=36 mm.
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Variation of melting rate of ice particle with time at different water temperatures: vl∞=0.06 m/s,Ts0=−8°C,d0=36 mm.
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Variation of average heat transfer coefficient with time at different water temperatures: vl∞=0.06 m/s,Ts0=−8°C,d0=36 mm.
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Variation of Nusselt number as a function of (Gr/Re2) at different water temperatures: vl∞=0.06 m/s,Ts0=−8°C,d0=36 mm.
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Correlation and all of results for dimensionless average heat transfer coefficient in the present study: Tl0=4∼30°C,vl∞=0.01∼0.10 m/s,Ts0=−23∼0°C,d0=36 mm.

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