On the instability of natural convection flow on inclined plates

Author:

Lloyd J. R.,Sparrow E. M.

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.

Publisher

Cambridge University Press (CUP)

Subject

Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics

Reference13 articles.

1. Sparrow, E. M. & Husar, R. B. 1969 Longitudinal vortices in natural convection flow on inclined surfaces.J. Fluid Mech. 37,251.

2. Schmidt, E. 1932 Schlierenaufnahmen des Temperaturfeldes in der Nähe Wärmeab-gebender Körper.Forsch. Geb. Ingenieur.3,181.

3. Saunders, O. A. 1939 Natural convection in fluids.Proc. Roy. Soc. A172,55.

4. Rich, B. R. 1953 An investigation of heat transfer from an inclined flat plate in free convection.Trans. ASME 75,489.

5. Hermann, R. 1954 Heat transfer by free convection from horizontal cylinders in diatomic gases.NACA TM 1366.

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