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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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References

Bai, R., Chen, K. & Joseph, D. D. 1992 Lubricated pipelining: stability of core-annular flow Part 5. Experiments and comparison with theory. J. Fluid Mech. 240, 97–132.Google Scholar
Boomkamp, P. A. M. & Miesen, R. H. M. 1992 Nonaxisymmetric waves in core-annular flow with a small viscosity ratio. Phys. Fluids A 4, 1627–1636.Google Scholar
Chen, K., Bai, R. & Joseph, D. D. 1990 Lubricated pipelining. Part 3. Stability of core-annular flow in vertical pipes. J. Fluid Mech. 214, 251–286.Google Scholar
Freeman, R. W. & Tavlarides, L. L. 1979 Observation of the instabilities of a round jet and the effect of concurrent flow. Phys. Fluids 22, 782–783.Google Scholar
Hickox, C. E. 1971 Instability due to viscosity and density stratification in axisymmetric pipe flow. Phys. Fluids 14, 251–262.Google Scholar
Hu, H. H. & Joseph, D. D. 1989 Lubricated pipelining: stability of core-annular flow. Part 2. J. Fluid Mech. 205, 359–396.Google Scholar
Hu, H. H., Lundgren, T. S. & Joseph, D. D. 1990 Stability of core-annular flow with very small viscosity ratio. Phys. Fluids A 2, 1945–1954.Google Scholar
Joseph, D. D. 1990 Separation in flowing fluids. Nature 348, 487.Google Scholar
Joseph, D. D. & Renardy, Y. 1992 Two-Fluid Dynamics. Springer.
Joseph, D. D., Renardy, Y. & Renardy, M. 1984 Instability of the flow of immiscible liquids with different viscosities in a pipe. J. Fluid Mech. 141, 309–317.Google Scholar
Lister, J. R. 1987 Long-wavelength instability of a line plume. J. Fluid Mech. 175, 413–428.Google Scholar
Miesen, R., Beijnon, G., Duijvestijn, P. E. M., Oliemans, R. V. A. & Verheggen, T. 1992 Interfacial waves in core-annular flow. J. Fluid Mech. 238, 97–117.Google Scholar
Preziosi, L., Chen, K. & Joseph, D. D. 1989 Lubricated pipelining: stability of core-annular flow. J. Fluid Mech. 201, 323–356.Google Scholar
Renardy, Y. 1987 Viscosity and density stratification in vertical Poiseuille flow. Phys. Fluids 30, 1638–1648.Google Scholar
Yang, H. Q. 1992 Buckling of a thermal plume. Intl J. Heat Mass Transfer 35, 1527–1532.Google Scholar