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Unsteady natural convection in a rectangular cavity

  • John Patterson (a1) and Jorg Imberger (a2) (a3)

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.

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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.
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