Hostname: page-component-78c5997874-m6dg7 Total loading time: 0 Render date: 2024-11-03T05:24:04.038Z Has data issue: false hasContentIssue false
  • English
  • Français

Cavity flows driven by buoyancy and shear

Published online by Cambridge University Press:  29 March 2006

K. Torrance ,
R. Davis ,
K. Eike ,
P. Gill ,
D. Gutman ,
A. Hsui ,
S. Lyons  and
H. Zien
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
Get access Rights & Permissions [Opens in a new window]

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
Information
Journal of Fluid Mechanics , Volume 51 , Issue 2 , 25 January 1972 , pp. 221 - 231
Copyright
© 1972 Cambridge University Press

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Batchelor, G. K. 1956 J. Fluid Mech. 1, 177.
Btjrggraf, O. R. 1966 J. Fluid Mech. 24, 113.
Donovan, L. F. 1970 N.A.S.A. Tech. Memo. X-52767.
Fromm, J. 1964 In Methods in Computational Physics, vol. 3, p. 345. Academic.
Gosman, A. D., Pun, W. M., Runchal, A. K., Spalding, D. B. & Wolfshtein, M. 1969 Heat and Mass Transfer in, Recirculating Plows, pp. 159–167. Academic.
Greenspan, D. 1969 Computer J. 12, 88.
Kawaguti, M. 1961 J. Phys. Soc. Japan, 16, 2307.
Mills, R. D. 1965 J. Roy. Aero. Soc. 69, 714.
Newell, M. E. & Schmidt, F. W. 1970 J. Heat Transfer, Trans. A.S.M.E. C 92, 159.
Pan, F. & Acrivos, A. 1967 J. Fluid Mech. 28, 643.
Simuni, L. M. 1964 Inzhenernii Zhournal, 4, 446.
Squire, H. B. 1956 J. Roy. Aero. Soc. 60, 203.
Torrance, K. E. & Rockett, J. A. 1969 J. Fluid Mech. 36, 33.Google Scholar
Weiss, R. F. & Florsheim, B. H. 1965 Phys. Fluids, 8, 1631.