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Longitudinal vortices in natural convection flow on inclined plates

Published online by Cambridge University Press:  29 March 2006

E. M. Sparrow  and
R. B. Husar
E. M. Sparrow
Affiliation:
University of Minnesota, Minneapolis, Minnesota
R. B. Husar
Affiliation:
University of Minnesota, Minneapolis, Minnesota
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Abstract

Experiments are performed to demonstrate the occurrence and explore the characteristics of a secondary flow superposed upon the natural convection main flow on an inclined plate. A flow visualization technique is employed whereby the flow pattern is made visible by local changes of colour of the fluid itself, the colour change being brought about by a change in pH. The secondary flow consists of longitudinal vortices or rolls distributed more or less periodically across the width of the plate. The number of such vortices increases with the temperature difference between the surface and the ambient fluid, but appears to be relatively insensitive to the inclination angle of the plate. The secondary flow results from the destabilizing effect of the buoyancy force component, which acts normal to the plate surface. The longitudinal vortices are the first stage of the laminarturbulent transition process. This is in contrast to the case of natural convection on a vertical plate, where the first stage of transition is Tollmien-Schlichting waves.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 37 , Issue 2 , 23 June 1969 , pp. 251 - 255
Copyright
© 1969 Cambridge University Press

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References

Cabslaw, H. S. & Jaeger, J. C. 1959 Conduction of Heat in Solids, 2nd edition. Oxford: Clarendon.
Currie, I. G. 1967 The effect of heating rate on the stability of stationary fluids J. Fluid Mech. 29, 337–347.Google Scholar
Fultz, D., Nakagawa, Y. & Frenzen, P. 1955 Experiments on overstable thermal convection in mercury. Proc. Roy. Soc A 231, 211–225.Google Scholar
Longsworth, L. G. 1939 A modification of the schlieren method for use in electrophoretic analysis J. Am. Chem. Soc. 61, 529–530.Google Scholar
Nield, D. A. 1967 The thermohaline Rayleigh-Jeffreys problem J. Fluid Mech. 29, 545–558.Google Scholar
Sani, R. 1965 On finite amplitude roll-cell disturbances in a fluid layer subjected to both mass and enthalpy transfer Am. Inst. Chem. Engng J. 11, 971–980.Google Scholar
Shirtcliffe, T. G. L. 1967 Thermosolutal convection: observation of an overstable mode. Nature, Lond. 213, 489–490.Google Scholar
Veronis, G. 1965 On finite amplitude instability in thermohaline convection J. Marine Res. 23, 1–17.Google Scholar
Vertgeim, B. A. 1955 On the conditions of appearance of convection in a binary mixture PMM, 19, 747–750.Google Scholar