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On the spatial evolution of centrifugal instabilities within curved incompressible mixing layers

Published online by Cambridge University Press:  26 April 2006

S. R. Otto ,
T. L. Jackson  and
F. Q. Hu
S. R. Otto
Affiliation:
School of Mathematics and Statistics, The University of Birmingham, Edgbaston, Birmingham, B15 2TT, UK
T. L. Jackson
Affiliation:
ICASE, Mail Stop 132 C, NASA Langley Research Center, Hampton, VA 23681-0001, USA
F. Q. Hu
Affiliation:
Department of Mathematics and Statistics, Old Dominion University, Norfolk, VA 23529, USA
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Abstract

It is known that certain configurations which possess curvature are prone to a class of instabilities which their ‘flat’ counterparts will not support. The main thrust of the study of these centrifugal instabilities has concentrated on curved solid boundaries and their effect on the fluid motion. In this article attention is shifted towards a fluid-fluid interface observed within a curved incompressible mixing layer. Experimental evidence is available to support the conjecture that this situation may be subject to centrifugal instabilities. The evolution of modes with wavelengths comparable with the layer's thickness is considered within moderately curved mixing layers. The high Taylor/Görtler number régime is also discussed which characterizes the ultimate fate of the modes.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 315 , 25 May 1996 , pp. 85 - 103
Copyright
© 1996 Cambridge University Press

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