Hostname: page-component-76fb5796d-qxdb6 Total loading time: 0 Render date: 2024-04-25T21:26:26.620Z Has data issue: false hasContentIssue false
  • English
  • Français

Unsteady natural convection in a rectangular cavity

Published online by Cambridge University Press:  19 April 2006

John Patterson  and
Jorg Imberger
John Patterson
Affiliation:
Department of Civil Engineering, The University of Western Australia, Nedlands, W.A. 6009
Jorg Imberger
Affiliation:
Department of Civil Engineering, University of California, Berkeley, California 94720 Present address: Department of Civil Engineering, University of Western Australia, Nedlands, Western Australia 6009.
Get access Rights & Permissions [Opens in a new window]

Abstract

The problem of transient natural convection in a cavity of aspect ratio A [les ] 1 with differentially heated end walls is considered. Scale analysis is used to show that a number of initial flow types are possible, collapsing ultimately onto two basic types of steady flow, determined by the relative value of the non-dimensional parameters describing the flow. A number of numerical solutions which encompass both flow types are obtained, and their relationship to the scale analysis is discussed.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 100 , Issue 1 , 11 September 1980 , pp. 65 - 86
Copyright
© 1980 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. 1954 Quart. J. Appl. Math. 12, 209.
Braun, W. H., Ostrach, S. & Heighway, J. E. 1961 Int. J. Heat Mass Transfer 2, 121.
Chorin, A. J. 1968 Maths. Comp. 22, 745.
Cormack, D. E., Leal, L. G. & Imberger, J. 1974 J. Fluid Mech. 65, 209.
Cormack, D. E., Leal, L. G. & Seinfeld, J. H. 1974 J. Fluid Mech. 65, 231.
Cotton, I., Ayyaswamy, P. S. & Clever, R. M. 1974 Int. J. Heat Mass Transfer 17, 173.
de Vahl Davis, G. 1968 Int. J. Heat Mass Transfer 11, 1675.
Eckert, E. R. G. & Carlson, W. O. 1961 Int. J. Heat Mass Transfer 2, 106.
Elder, J. W. 1965 J. Fluid Mech. 23, 77.
Gill, A. E. 1966 J. Fluid Mech. 26, 515.
Imberger, J. 1974 J. Fluid Mech. 65, 247.
Newell, M. E. & Schmidt, F. W. 1970 J. Heat Transfer 92, 159.
Quon, C. 1972 Phys. Fluids 15, 12.
Roache, P. J. 1972 Computational Fluid Dynamics. Albuquerque: Hermosa.
Schlichting, H. 1960 Boundary Layer Theory, 4th edn. McGraw-Hill.
Szekely, J. & Todd, M. R. 1971 Int. J. Heat Mass Transfer 14, 467.
Wilkes, J. O. & Churchill, S. W. 1966 A.I.Ch.E. J. 12, 161.