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Prediction of bubble velocity in a Hele–Shaw cell: Thin film and contact angle effects

Saffman, P. G. and Tanveer, S. (1989) Prediction of bubble velocity in a Hele–Shaw cell: Thin film and contact angle effects. Physics of Fluids A, 1 (2). pp. 219-223. ISSN 0899-8213. http://resolver.caltech.edu/CaltechAUTHORS:SAFpofa89a

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Abstract

The effect of the thin film between a bubble of a less viscous fluid and the transverse walls on the velocity of steady propagation of the bubble is explored. The estimates suggest that the film corrections for small capillary number cannot account for the large discrepancy between the experimentally observed [Phys. Fluids 31, 18 (1988)] bubble velocities and the theoretical values based on a simplified theory. However, if the thin film is ignored and it is assumed that the contact angle between the interface and the plate varies at different points of the interface in some prescribed manner, then it is possible to account in a qualitative way for the small bubble velocities in the Kopf-Sill–Homsy experiment.


Item Type:Article
Additional Information:Copyright © 1989 American Institute of Physics. Received 28 June 1988; accepted 25 October 1988. This research was supported by the National Science Foundation under Grant No. DMS-8713246. Partial support was also provided by the Department of Energy Grant No. DE-AS03-76ER720R and Applied Mathematical Sciences Grant No. KC-07-01-01.
Subject Keywords:BUBBLES, THIN FILMS, VISCOUS FLOW, WALLS, VELOCITY, STEADY−STATE CONDITIONS, CORRECTIONS, CONTACT ANGLE
Record Number:CaltechAUTHORS:SAFpofa89a
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:SAFpofa89a
Alternative URL:http://dx.doi.org/10.1063/1.857492
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:10152
Collection:CaltechAUTHORS
Deposited By: Archive Administrator
Deposited On:15 Apr 2008
Last Modified:26 Dec 2012 09:57

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