Abstract
The time-dependent deformation of an incompressible or compressible gas bubble, due to the action of shear at the bubble surface exerted by the external fluid, at low Reynolds number, is formulated as a second boundary value problem for Stokes’ equations. This problem is solved via a Fredholm’s integral equation of the second kind, that leads to a unique surface velocity regardless of any axisymmetric property. It is shown that in the case of an incompressible bubble the evolution is qualitatively similar to the corresponding case of a viscous drop, however, in the case of a compressible bubble the behavior is different.
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