The viscous drag force on a spherical bubble with a time-dependent radius
- 1 March 1998
- journal article
- Published by AIP Publishing in Physics of Fluids
- Vol. 10 (3) , 550-554
- https://doi.org/10.1063/1.869582
Abstract
The expression of the hydrodynamic force experienced by a spherical bubble having a variable radius and moving in a viscous incompressible liquid is derived analytically in two different asymptotic situations. The solution is obtained by rewriting the initial problem in a frame of reference where the bubble has a fixed radius and where the relevant dimensionless parameters are conserved. It is shown that when the assumption of unsteady creeping motion is valid, the bubble radius variation combined with a constant rise velocity produces a nonzero history force. This contribution can have a significant effect on the bubble motion, especially for a collapsing bubble.Keywords
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