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Non-axisymmetric instability of core–annular flow

Published online by Cambridge University Press:  26 April 2006

Howard H. Hu  and
Neelesh Patankar
Howard H. Hu
Affiliation:
Department of Mechanical Engineering and Applied Mechanics, University of Pennsylvania, 297 Towne Building, 220 S. 33rd Street, Philadelphia, PA 19104-6315, USA
Neelesh Patankar
Affiliation:
Department of Mechanical Engineering and Applied Mechanics, University of Pennsylvania, 297 Towne Building, 220 S. 33rd Street, Philadelphia, PA 19104-6315, USA
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Abstract

Stability of core-annular flow of water and oil in a vertical circular pipe is studied with respect to non-axisymmetric disturbances. Results show that when the oil core is thin, the flow is most unstable to the asymmetric sinuous mode of disturbance, and the core moves in the form of corkscrew waves as observed in experiments. The asymmetric mode of disturbance is the most dangerous mode for quite a wide range of material and flow parameters. This asymmetric mode persists in vertical pipes with upward and downward flows and in horizontal pipes. The analysis also applies to the instability of freely rising axisymmetric cigarette smoke or a thermal plume. The study predicts a unique wavelength for the asymmetric meandering waves.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 290 , 10 May 1995 , pp. 213 - 224
Copyright
© 1995 Cambridge University Press

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