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On the instability of natural convection flow on inclined plates

Published online by Cambridge University Press:  29 March 2006

J. R. Lloyd
Affiliation:
University of Minnesota, Minneapolis, Minnesota
E. M. Sparrow
Affiliation:
University of Minnesota, Minneapolis, Minnesota

Abstract

Experiments are carried out to establish the relationship between the nature of the flow instability and the inclination angle of the plate. The angular dependence of the Rayleigh number characterizing the onset of instability is also determined. An electrochemical flow visualization technique is utilized to expose the patterns of fluid motion. It is found that for inclination angles of less than 14° (relative to the vertical), waves are the mode of instability. On the other hand, for inclination angles in excess of 17°, the instability is characterized by longitudinal vortices. The range between 14° and 17° is a zone of continuous transition, with the two modes of instability co-existing.

Type
Research Article
Copyright
© 1970 Cambridge University Press

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References

Baker, D. J. 1966 A technique for the precise measurement of small fluid velocities. J. Fluid Mech. 26, 573.Google Scholar
Eckert, E. R. G. & Soehngen, E. 1951 Interferometric studies on the stability and transition to turbulence of a free convection boundary layer. Gen. Disc. Heat Transfer, I. Mech. E., London, p. 321.Google Scholar
Gebhart, B. 1969 Natural convection flow, instability, and transition. J. Heat Transfer, 91, 293.Google Scholar
Hermann, R. 1954 Heat transfer by free convection from horizontal cylinders in diatomic gases. NACA TM 1366.Google Scholar
Kierkus, W. T. 1968 An analysis of laminar free convection flow and heat transfer about an inclined isothermal plate. Int. J. Heat Mass Transfer, 11, 241.Google Scholar
Lock, G. S. H., Gort, C. & Pond, G. R. 1967 A study of instability in free convection from an inclined plate. Appl. Sci. Res. 18, 171.Google Scholar
Rich, B. R. 1953 An investigation of heat transfer from an inclined flat plate in free convection. Trans. ASME 75, 489.Google Scholar
Saunders, O. A. 1939 Natural convection in fluids. Proc. Roy. Soc. A 172, 55.Google Scholar
Schmidt, E. 1932 Schlierenaufnahmen des Temperaturfeldes in der Nähe Wärmeab-gebender Körper. Forsch. Geb. Ingenieur. 3, 181.Google Scholar
Sparrow, E. M. & Husar, R. B. 1969 Longitudinal vortices in natural convection flow on inclined surfaces. J. Fluid Mech. 37, 251.Google Scholar
Szewczyk, A. A. 1962 Stability and transition of the free-convection layer along a vertical flat plate. Int. J. Heat Mass Transfer, 5, 903.Google Scholar
Tritton, D. J. 1963 Transition to turbulence in the free convection boundary layers on an inclined heated plate. J. Fluid Mech. 16, 417.Google Scholar
Vliet, G. C. 1969 Natural convection local heat transfer on constant-heat-flux inclined surfaces. J. Heat Transfer, 91, 511.Google Scholar