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Taylor bubble rising in a vertical pipe against laminar or turbulent downward flow: symmetric to asymmetric shape transition

Published online by Cambridge University Press:  20 August 2014

Jean Fabre  and
Bernardo Figueroa-Espinoza
Jean Fabre*
Affiliation:
Institut de Mécanique des Fluides, Institut National Polytechnique de Toulouse, Allée du Professeur Camille Soula, 31400 Toulouse, France
Bernardo Figueroa-Espinoza
Affiliation:
Instituto de Ingeniería, Universidad Nacional Autónoma de México, Calle 21 No. 97A, Colonia Itzimná, 97100, Mérida, Mexico
*
†Email address for correspondence: Jean.Fabre@imft.fr
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Abstract

The symmetry of Taylor bubbles moving in a vertical pipe is likely to break when the liquid flows downward at a velocity greater than some critical value. The present experiments performed in the inertial regime for Reynolds numbers in the range $\def \xmlpi #1{}\def \mathsfbi #1{\boldsymbol {\mathsf {#1}}}\let \le =\leqslant \let \leq =\leqslant \let \ge =\geqslant \let \geq =\geqslant \def \Pr {\mathit {Pr}}\def \Fr {\mathit {Fr}}\def \Rey {\mathit {Re}}100<\mathit{Re} < 10\, 000$ show that bifurcation to an eccentric motion occurs, with a noticeable increase of the bubble velocity. The influence of the surface tension parameter (an inverse Eötvös number), $\varSigma $, has been investigated for $0.0045<\varSigma <0.067$. It appears that the motion of an asymmetric bubble is much more sensitive to surface tension than that of a symmetric bubble. For any given $\varSigma $, the symmetry-breaking bifurcation occurs in both laminar and turbulent flow at the same vorticity-to-radius ratio ${(\omega /r)}_0$ on the axis of the carrier fluid. This conclusion also applies to results obtained previously from numerical experiments in plane flows.

JFM classification

Drops and Bubbles: Bubble dynamics Drops and Bubbles: Drops and Bubbles
Type
Papers
Information
Journal of Fluid Mechanics , Volume 755 , 25 September 2014 , pp. 485 - 502
Copyright
© 2014 Cambridge University Press 

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Fabre and Bernardo Figueroa-Espinoza suplementary movie

Shape and velocity of Taylor bubble in downward flow: water-glycerol mixture (5.6 cP viscosity and 56 mN/m surface tension) and 40 mm diameter pipe.

Download Fabre and Bernardo Figueroa-Espinoza suplementary movie(Video)
Video 4.3 MB

Fabre and Bernardo Figueroa-Espinoza suplementary movie

Shape and velocity of Taylor bubble in downward flow: water (1 cP viscosity and 72 mN/m surface tension) and 80 mm diameter pipe.

Download Fabre and Bernardo Figueroa-Espinoza suplementary movie(Video)
Video 12.1 MB