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Cavity flows driven by buoyancy and shear

Published online by Cambridge University Press:  29 March 2006

K. Torrance
Affiliation:
Department of Thermal Engineering, Cornell University, Ithaca, New York
R. Davis
Affiliation:
Department of Thermal Engineering, Cornell University, Ithaca, New York
K. Eike
Affiliation:
Department of Thermal Engineering, Cornell University, Ithaca, New York
P. Gill
Affiliation:
Department of Thermal Engineering, Cornell University, Ithaca, New York
D. Gutman
Affiliation:
Department of Thermal Engineering, Cornell University, Ithaca, New York
A. Hsui
Affiliation:
Department of Thermal Engineering, Cornell University, Ithaca, New York
S. Lyons
Affiliation:
Department of Thermal Engineering, Cornell University, Ithaca, New York
H. Zien
Affiliation:
Department of Thermal Engineering, Cornell University, Ithaca, New York

Abstract

Fluid motion driven by the combined effects of a moving wall and natura convection is examined for rectangular cavities with heightlwidth ratios of ½, 1 and 2. The Reynolds number and Prandtl number are held fixed at Re = 100 and Pr = 1; the Grashof number is varied over the range of values Gr = 0, ±104, ±106. Flow and temperature fields obtained from numerical solutions of the Navier-Stokes equations reveal a marked influence of buoyancy for the larger aspect ratios when Gr = ±106 and the dominance of buoyancy for all aspect ratios when Gr = ± 106. Results are compared with earlier work where possible and some observations are offered on the convergence of the numerical solutions.

Type
Research Article
Copyright
© 1972 Cambridge University Press

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