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TECHNICAL PAPERS: Melting and Solidification

Melting of a Solid Sphere Under Forced and Mixed Convection: Flow Characteristics

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

Department of Mechanical Engineering, Tennessee State University, Nashville, TN 37209-1561

J. Heat Transfer 123(5), 937-950 (Mar 28, 2001) (14 pages) doi:10.1115/1.1389466 History: Received August 21, 2000; Revised March 28, 2001
Copyright © 2001 by ASME
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Figures

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Schematic of the test apparatus
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Test section and PIV system setup
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Video images of melting, dyed ice sphere at different water velocities and a high water temperature: Tw=30°C,d0=36 mm,Ti,0=−20°C,Gr0=6.8 × 106,t*=0.3: (a) Vw=0.01 m/s,Re0=316,Gr0/Re02=68.1,ttotal=209 s; (b) Vw=0.05 m/s,Re0=1579,Gr0/Re02=2.73,ttotal=141 s; and (c) Vw=0.10 m/s,Re0=3158,Gr0/Re02=0.682,ttotal=82 s
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Variation of flow separation locations with time at different upstream velocities in melting processes: Tw=4°C,d0=36 mm,Ti,0=−20°C,Gr0=883: (a) upper separation points; and (b) lower separation points.
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Variation of flow separation locations with time at different upstream velocities in melting processes: Tw=30°C,d0=36 mm,Ti,0=−20°C,Gr0=6.8 × 106: (a) upper separation points; and (b) lower separation points.
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Flow field results in the axial plane at a high water temperature: Vw=0.01 m/s,Tw=30°C,d0=36 mm,Ti,0=−20°C,Re0=316,Gr0=6.8 × 106,Gr0/Re02=68.1,t*=0.5,ttotal=229 s: (a) velocity vector distribution; (b) streamline; (c) z-component of rotation vector; (d) velocity component in x-direction; and (e) velocity component in y-direction.
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Flow field results in the axial plane at a high water temperature: Vw=0.05 m/s,Tw=30°C,d0=36 mm,Ti,0=−20°C,Re0=1579,Gr0=6.8 × 106,Gr0/Re02=2.73,t*=0.5,ttotal=133 s: (a) velocity vector distribution; (b) streamline; (c) z-component of rotation vector; (d) velocity component in x-direction; and (e) velocity component in y-direction.
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Video images of melting dyed ice sphere at different water velocities: Tw=4°C,d0=36 mm,Ti,0=−20°C,Gr0=883,t*=0.3: (a) Vw=0.01 m/s,Re0=215,Gr0/Re02=0.019,ttotal=1542 s; (b) Vw=0.05 m/s,Re0=1077,Gr0/Re02=7.6 × 10−4,ttotal=816 s; and (c) Vw=0.10 m/s,Re0=2154,Gr0/Re02=1.9× 10−4,ttotal=567 s
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Flow field around a melting ice sphere in the axial plane: t*=0.0079,Vw=0.05 m/s,Tw=4°C,d0=36 mm,Ti,0=−15°C,Re0=1077,Gr0=883,Gr0/Re02=7.6 × 10−4,ttotal=760 s: (a) velocity vector distribution; (b) streamline; and (c) z-component of rotation vector.
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Flow field around a plastic sphere in the axial plane: Vw=0.05 m/s,Tw=4°C,d0=36 mm,Ti=4°C,Re0=1149,Gr0=0,Gr0/Re02=0: (a) velocity vector distribution; (b) streamline; and (c) z-component of rotation vector.
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Velocity components in x and y-direction along different x lines around a melting sphere: t*=0.0079,Vw=0.05 m/s,Tw=4°C,d0=36 mm,Ti,0=−15°C,Re0=1077,Gr0=883,Gr0/Re02=7.6 × 10−4,ttotal=760 s. (Broken lines indicate a projected result below the ice sphere where no PIV data are available.): (a) velocity component in x-direction; and (b) velocity component in y-direction.
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Typical instantaneous image of the measured flow field at t*=0.3:Vw=0.05 m/s,Tw=4°C,d0=36 mm,Ti,0=−15°C,ttotal=760 s.
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Flow field results in the axial plane: t*=0.0079,Vw=0.05 m/s,Tw=4°C,d0=36 mm,Ti,0=−15°C,Re0=1077,Gr0=883,Gr0/Re02=7.6 × 10−4,ttotal=760 s: (a) velocity vector distribution; (b) streamline; (c) z-component of rotation vector; (d) velocity component in x-direction; and (e) velocity component in y-direction.
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Flow field results in the axial plane: t*=0.3,Vw=0.05 m/s,Tw=4°C,d0=36 mm,Ti,0=−15°C,Re0=1077,Gr0=883,Gr0/Re02=7.6 × 10−4,ttotal=760 s: (a) velocity vector distribution; (b) streamline; and (c) z-component of rotation vector.
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Flow field results in the axial plane: t*=0.6,Vw=0.05 m/s,Tw=4°C,d0=36 mm,Ti,0=−15°C,Re0=1077,Gr0=883,Gr0/Re02=7.6 × 10−4,ttotal=760 s: (a) velocity vector distribution; (b) streamline; and (c) z-component of rotation vector.
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Flow field results in the axial plane: t*=0.9,Vw=0.05 m/s,Tw=4°C,d0=36 mm,Ti,0=−15°C,Re0=1077,Gr0=883,Gr0/Re02=7.6 × 10−4,ttotal=760 s: (a) velocity vector distribution; (b) streamline; and (c) z-component of rotation vector.
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Flow field results in the axial plane: t*=0.5,Vw=0.01 m/s,Tw=4°C,d0=36 mm,Ti,0=−20°C,Re0=215,Gr0=883,Gr0/Re02=0.019,ttotal=1614 s: (a) velocity vector distribution; (b) streamline; and (c) z-component of rotation vector.
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Flow field results in the axial plane: t*=0.5,Vw=0.05 m/s,Tw=4°C,d0=36 mm,Ti,0=−20°C,Re0=1077,Gr0=883,Gr0/Re02=7.6 × 10−4,ttotal=1009 s: (a) velocity vector distribution; (b) streamline; and (c) z-component of rotation vector.
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Flow field results in the axial plane: t*=0.5,Vw=0.10 m/s,Tw=4°C,d0=36 mm,Ti,0=−20°C,Re0=2154,Gr0=883,Gr0/Re02=1.9 × 10−4,ttotal=689 s: (a) velocity vector distribution; (b) streamline; and (c) z-component of rotation vector.

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