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Convection in horizontal cavities

Published online by Cambridge University Press:  21 April 2006

P. G. Simpkins  and
K. S. Chen
P. G. Simpkins
Affiliation:
AT&T Bell Laboratories, Murray Hill, New Jersey 07974
K. S. Chen
Affiliation:
AT&T Bell Laboratories, Murray Hill, New Jersey 07974 Current address: Department of Mechanical Engineering, National Sun Yat-Sen University, Kaohsiung, Taiwan.
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Abstract

Flows in water-filled rectangular cavities due to an applied horizontal temperature gradient are examined for Rayleigh numbers, based on height, R [ges ] 106 and aspect ratios (length/height) L [ges ] 2. Laser Doppler velocimetry measurements of the horizontal velocity distribution throughout the core are complemented with local temperature measurements and interferometry observations. The results show that the core stream function is aspect-ratio dependent when R > O(105) and the Prandtl number is fixed. When R [les ] 106 it appears that the layers on the horizontal surfaces fill the cavity depth if L [ges ] 3. For values of R [ges ] 107 and L = 2 the motion in the core is extremely small and the mass flux occurs in layers adjacent to the horizontal walls. Computations of the heat transfer across the cavity are in good agreement with numerical solutions of the vertical boundary-layer equations.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 166 , May 1986 , pp. 21 - 39
Copyright
© 1986 Cambridge University Press

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