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Formation of cells in natural convection in a vertical slot at large Prandtl number

Published online by Cambridge University Press:  26 April 2006

Shunichi Wakitani
Shunichi Wakitani
Affiliation:
Department of Mechanical Engineering, College of Industrial Technology, 1-27-1 Nishikoya, Amagasaki 661, Japan
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Abstract

This paper presents several features at supercritical conditions of natural convection of large Prandtl number fluids in a vertical slot. Both experimental and numerical results show that even at slightly supercritical conditions the multicellular flow is in an unsteady state which is attributed to the moving and merging of cells. The effect of variable viscosity on the unsteadiness is investigated numerically. Successive merging and appearance of cells is characteristic of this convection so that the number of secondary cells changes with time. The bifurcation phenomena characterized by several modes of unsteady cellular flow are examined.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 314 , 10 May 1996 , pp. 299 - 314
Copyright
© 1996 Cambridge University Press

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References

Batchelor, G. K. 1954 Heat transfer by free convection across a closed cavity between vertical boundaries at different temperatures. Q. J. Appl. Maths 12, 209–233.Google Scholar
Bergholz, R. F. 1978 Instability of steady natural convection in a vertical fluid layer. J. Fluid Mech. 84, 743–768.Google Scholar
Chait, A. & Korpela, S. A. 1989 The secondary flow and its stability for natural convection in a tall vertical enclosure. J. Fluid Mech. 200, 189–216.Google Scholar
Chen, C. F. & Thangam, S. 1985 Convective stability of a variable-viscosity fluid in a vertical slot. J. Fluid Mech. 161, 161–173.Google Scholar
Chen, Y. M. & Pearlstein, A. J. 1989 Stability of free-convection flows of variable viscosity fluids in vertical and inclined slots. J. Fluid Mech. 198, 513–541.Google Scholar
Eckert, E. R. G. & Carlson, W. O. 1961 Natural convection in an air layer enclosed between two vertical plates with different temperatures. Intl J. Heat Mass Transfer 2, 106–120.Google Scholar
Elder, J. W. 1965 Laminar free convection in a vertical slot. J. Fluid Mech. 23, 77–98.Google Scholar
Kawamura, T. & Kuwahara, K. 1984 Computations of high Reynolds number flow around a circular cylinder with surface roughness. AIAA Paper 84-0340.
Kawamura, T., Takami, H. & Kuwahara, K. 1986 Computation of high Reynolds number flow around a circular cylinder with surface roughness. Fluid Dyn. Res. 1, 145–162.Google Scholar
Lauriat, G. & Desrayaud, G. 1985 Natural convection in air-filled cavities of high aspect ratios: discrepancies between experimental and theoretical results. ASME Paper 85-HT-37.
Le Quéré, P. 1990 A note on multiple and unsteady solutions in two-dimensional convection in a tall cavity. Trans. ASME C: J. Heat Transfer 112, 965–974.Google Scholar
Lee, Y. & Korpela, S. A. 1983 Multicellular natural convection in a vertical slot. J. Fluid Mech. 126, 91–121.Google Scholar
Ostrach, S. 1988 Natural convection in enclosures. Trans. ASME C: J. Heat Transfer 110, 1175–1190.Google Scholar
Roux, B., Grondin, J., Bontoux, P. & Vahl Davis, G. DE 1980 Reverse transition from multicellular to monocellular motion in vertical fluid layer. Phys. Chem. Hydrodyn. 3F, 292–297.Google Scholar
Seki, N., Fukusako, S. & Inaba, H. 1978 Visual observation of natural convective flows in a narrow vertical cavity. J. Fluid Mech. 84, 695–704.Google Scholar
Vahl Davis, G. DE & Mallinson, G. D. 1975 A note on natural convection in a vertical slot. J. Fluid Mech. 72, 87–93.Google Scholar
Wakitani, S. 1994 Experiments on convective instability of large Prandtl number fluids in a vertical slot. Trans. ASME C: J. Heat Transfer 116, 120–126.Google Scholar