Hostname: page-component-8448b6f56d-cfpbc Total loading time: 0 Render date: 2024-04-24T16:26:30.946Z Has data issue: false hasContentIssue false
  • English
  • Français

Unsteady natural convection in a cavity with internal heating and cooling

Published online by Cambridge University Press:  20 April 2006

John C. Patterson
John C. Patterson
Affiliation:
Department of Civil Engineering, The University of Western Australia, Nedlands 6009, Western Australia
Get access Rights & Permissions [Opens in a new window]

Abstract

The problem of transient natural convection in a cavity of aspect ratio A < 1 driven by internal buoyancy sources and sinks distributed linearly in the horizontal and uniformly in the vertical is considered. Scaling analysis is used to show that a number of possible transient flow regions are possible, collapsing ultimately onto one of conductive, transitional, or convective steady-state flow regimes. A number of numerical solutions are obtained, and their relationships to the scaling analysis are discussed.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 140 , March 1984 , pp. 135 - 151
Copyright
© 1984 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

Bergholz, R. F. 1980 Trans ASME C: J. Heat Transfer 102, 242.Google Scholar
Cormack, D. E., Leal, L. G. & Imberger, J. 1974 J. Fluid Mech. 65, 209.
Fischer, H. B., List, E. J., Koh, R. C. Y., Imberger, J. & Brooks, N. H. 1979 Mixing in Inland and Coastal Waters. Academic.
Kikuchi, Y., Kawasaki, T. & Shioyama, T. 1982 Intl J. Heat Mass Transfer 25, 363.
Kulacki, F. A. & Goldstein, R. J. 1972 J. Fluid Mech. 55, 271.
Patterson, J. & Imberger, J. 1980 J. Fluid Mech. 100, 65.
Roberts, P. H. 1967 J. Fluid Mech. 30, 33.
Thirlby, R. 1970 J. Fluid Mech. 44, 673.
Thitton, D. J. & Zarraga, M. N. 1967 J. Fluid Mech. 30, 21.
Turcotte, D. L., Spence, D. A. & Bau, H. H. 1982 Intl J. Heat Mass Transfer 25, 699.