Document Type
Article
Date
1-1-1991
Keywords
bubbles, twophase flow, oscillations, dispersions, multipoles, spatial distribution, surface tension, drag, viscosity, deformation, frequency dependence, mixtures
Disciplines
Chemical Engineering
Description/Abstract
The motion of bubbles dispersed in a liquid when a small-amplitude oscillatory motion is imposed on the mixture is examined in the limit of small frequency and viscosity. Under these conditions, for bubbles with a stress-free surface, the motion can be described in terms of added mass and viscous force coefficients. For bubbles contaminated with surface-active impurities, the introduction of a further coeflicient to parametrize the Basset force is necessary. These coefficients are calculated numerically for random configurations of bubbles by solving the appropriate multibubble interaction problem exactly using a method of multipole expansion. Results obtained by averaging over several configurations are presented. Comparison of the results with those for periodic arrays of bubbles shows that these coefficients are, in general, relatively insensitive to the detailed spatial arrangement of the bubbles. On the basis of this observation, it is possible to estimate them via simple formulas derived analytically for dilute periodic arrays. The effect of surface tension and density of bubbles (or rigid particles in the case where the no-slip boundary condition is applicable) is also examined and found to be rather small.
Recommended Citation
Sangani, Ashok S.; Zhang, D. Z.; and Prosperetti, A., "The Added Mass, Basset, and Viscous Drag Coefficients in Nondilute Bubbly Liquids Undergoing Small-Amplitude Oscillatory Motion" (1991). Biomedical and Chemical Engineering - All Scholarship. 33.
https://surface.syr.edu/bce/33
Creative Commons License
This work is licensed under a Creative Commons Attribution 3.0 License.
Additional Information
Copyright 1991 Physics of Fluids A: Fluid Dynamics. This article may be downloaded for personal use only. Any other use requires prior permission of the author and Physics of Fluids A: Fluid Dynamics. The article may be found at http://dx.doi.org/10.1063/1.857838