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TECHNICAL PAPERS: Natural and Mixed Convection

Numerical Study of Three-Dimensional Oscillatory Natural Convection at Low Prandtl Number in Rectangular Enclosures

[+] Author and Article Information
Shunichi Wakitani

Department of Mechanical Engineering, College of Industrial Technology, 1-27-1 Nishikoya, Amagasaki 661-0047, Japan

J. Heat Transfer 123(1), 77-83 (Sep 27, 2000) (7 pages) doi:10.1115/1.1336508 History: Received April 12, 2000; Revised September 27, 2000
Copyright © 2001 by ASME
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References

Figures

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Geometry of the enclosure and coordinate system
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Critical Grashof number as a function of Prandtl number for (a) Ar=2, and (b) Ar=4
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Critical Grashof number as a function of width ratio Wr for Pr=0.015 and 0.025
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Velocity vectors and instantaneous streamlines at critical Grashof number for Pr=0 in enclosures with (a) Ar=4,Wr=1, and (b) Ar=4,Wr=2 at t=300. The upper is those at x=2 in the y-z plane, and the lower is at y=Wr/2 in the x-z plane.
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Velocity vectors and instantaneous streamlines at Gr=5×105 for Pr=0.025 in an enclosure with Ar=4,Wr=1.5 at (a) t=200, (b) 300, and (c) 400. The upper is those at x=2 in the y-z plane, and the lower is at y=Wr/2 in the x-z plane.
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Time evolutions of the u-velocity and temperature at a point (x,y,z)=(0.3174,0.2668,0.5) at Gr=5×105 for Pr=0.025 in an enclosure with Ar=4,Wr=1.5
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Time sequence of velocity vectors and instantaneous streamlines at Gr=5×105 for Pr=0.025 in an enclosure with Ar=4,Wr=1.5
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Velocity vectors and instantaneous streamlines in the y-z plane on x=1 at t=400 for Ar=2,Pr=0.025. (a) Wr=2.3; (b) 2.4; (c) 2.5.
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Local Nusselt number on the cold wall for Pr=0.025 at some times in enclosures with (a) Ar=2,Wr=1, and (b) Ar=4,Wr=2
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Average Nusselt number on the cold wall as a function of Grashof number: (a) time-averaged value; (b) rms value. Each vertical segment indicates the critical Grashof number.

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