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Experimental studies of wakes behind circularly capped bubbles

Published online by Cambridge University Press:  21 April 2006

W. F. Bessler  and
H. Littman
W. F. Bessler
Affiliation:
Department of Chemical Engineering, Rensselaer Polytechnic Institute, Troy, NY 12180–3590, USA
H. Littman
Affiliation:
Department of Chemical Engineering, Rensselaer Polytechnic Institute, Troy, NY 12180–3590, USA
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Abstract

The wake behind a circularly capped bubble rising in fluids of different viscosity has been experimentally investigated using aspirin powder for flow visualization and high-speed photography synchronized with pressure-time measurements to measure the pressure field. The bubble plus its primary wake with a cusped tail is observed to contain symmetric pressure minima within the primary wake. Adjacent to the boundary wake is a free shear layer which contains large-scale vortices generated near the bubble rim that remain essentially stationary to an observer in the laboratory reference frame. The change in wake geometry and the transition to an ellipsoidal bubble shape as fluid viscosity increases is documented.

The airfoil shape of the boundary of the circularly capped bubble and its closed primary wake is modelled using a Joukowski transformation in which the Joukowski constant is adjusted to match the experimental and potential-flow pressures along the bubble cap. The model successfully predicts the frontal pressure field, and the wake size and shape. The Davies & Taylor bubble-cap boundary condition is also verified.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 185 , December 1987 , pp. 137 - 151
Copyright
© 1987 Cambridge University Press

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