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Double-diffusive instability in an inclined fluid layer. Part 1. Experimental investigation

Published online by Cambridge University Press:  19 April 2006

R. C. Paliwal  and
C. F. Chen
R. C. Paliwal
Affiliation:
Department of Mechanical, Industrial and Aerospace Engineering, Rutgers University, New Brunswick, N.J. 08903 Present address: Electronic Associates, Inc., West Long Branch, N.J. 07764.
C. F. Chen
Affiliation:
Department of Mechanical, Industrial and Aerospace Engineering, Rutgers University, New Brunswick, N.J. 08903
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Abstract

The stability boundary of a density-stratified fluid contained in an inclined slot subjected to a lateral temperature gradient was determined experimentally. The initial stratification due to salt was stable and linear in the vertical direction. Experiments were conducted in a 1·0 × 11.1 × 25·7 cm slot with the inclination angle θ from the vertical varying from −75° to + 75°. A positive angle denotes heating from the lower wall while a negative angle denotes heating from the upper wall. The temperature difference across the slot was increased slowly until the onset of instability was observed by means of a shadowgraph. The critical thermal Rayleigh number was found to be non-symmetrical with respect to θ = 0°, with heating of the upper wall less stable than heating of the lower wall. This is because there is a larger vertical solute gradient in the steady-state regime prior to the onset of instabilities when the lower wall is heated. The secondary flow consisting of horizontal convecting layers was very stable θ < 0° cases because of the stabilizing temperature effect. The motion of the layers when θ > 0° was quite vigorous. At θ = +75°, the secondary flow became unstable in a rather dramatic manner not observed heretofore.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 98 , Issue 4 , 26 June 1980 , pp. 755 - 768
Copyright
© 1980 Cambridge University Press

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