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A spherical particle straddling a fluid/gas interface in an axisymmetric straining flow

Published online by Cambridge University Press:  26 April 2006

J. A. Stoos  and
L. G. Leal
J. A. Stoos
Affiliation:
Department of Chemical Engineering, California Institute of Technology, Pasadena, California 91125, USA Current address: Mobil R. & D., Paulsboro, New Jersey 08066, USA.
L. G. Leal
Affiliation:
Department of Chemical Engineering, California Institute of Technology, Pasadena, California 91125, USA Curent address: Department of Chemical and Nuclear Engineering, University of California at Santa Barbara, Santa Barbara, CA 93106, USA.
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Abstract

Numerical solutions, obtained via the boundary-integral technique, are used to consider the effect of a linear axisymmetric straining flow on the existence of steady-state configurations in which a neutrally buoyant spherical particle straddles a gas–liquid interface. The problem is directly applicable to predictions of the stability of particle capture in flotation processes, and is also of interest in the context of contact angle and surface tension measurements. A primary goal of the present study is a determination of the critical capillary number, Cac, beyond which an initially captured particle is pulled from the interface by the flow, and the dependence of Cac on the equilibrium contact angle θc. We also present equilibrium configurations for a wide range of contact angles and subcritical capillary numbers.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 217 , August 1990 , pp. 263 - 298
Copyright
© 1990 Cambridge University Press

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