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Interfacial waves in core-annular flow

Published online by Cambridge University Press:  26 April 2006

R. Miesen ,
G. Beijnon ,
P. E. M. Duijvestijn ,
R. V. A. Oliemans  and
T. Verheggen
R. Miesen
Affiliation:
Koninklijke/Shell-Laboratorium, Amsterdam (Shell Research B.V.). Badhuisweg 3, 1031 CM Amsterdam, The Netherlands
G. Beijnon
Affiliation:
Koninklijke/Shell-Laboratorium, Amsterdam (Shell Research B.V.). Badhuisweg 3, 1031 CM Amsterdam, The Netherlands
P. E. M. Duijvestijn
Affiliation:
Koninklijke/Shell-Laboratorium, Amsterdam (Shell Research B.V.). Badhuisweg 3, 1031 CM Amsterdam, The Netherlands
R. V. A. Oliemans
Affiliation:
Koninklijke/Shell-Laboratorium, Amsterdam (Shell Research B.V.). Badhuisweg 3, 1031 CM Amsterdam, The Netherlands
T. Verheggen
Affiliation:
Koninklijke/Shell-Laboratorium, Amsterdam (Shell Research B.V.). Badhuisweg 3, 1031 CM Amsterdam, The Netherlands
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Abstract

In this paper we present experiments and an analysis of interfacial waves in core—annular flow; these waves are important for the flow to be stable. The observed wave velocity is about equal to the speed of the fluids near the interface, and the wavelength is 1–10 times the thickness of the annulus. These results are predicted by our analysis, which is valid provided the Reynolds number of the fluid in the annulus, and the ratio of the viscosities of the fluids in the core and the annulus, are large. The theory gives the growth rate of a wave as a function of this ratio, the Reynolds number, the surface tension and the wavenumber. For parameter values of interest, the growth rate is positive for a range wavenumbers which we compare with the experiments. Qualitative agreement between theory and experiment is excellent; quantitative comparison reveals discrepancies for which a possible explanation is the neglect of nonlinear terms.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 238 , May 1992 , pp. 97 - 117
Copyright
© 1992 Cambridge University Press

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