Spherical clean bubble without surface tension

ID: spherical-clean-bubble-without-surface-tension

A buoyantly rising inviscid bubble in otherwise quiescent unbounded liquid has an exterior Stokeslet with . Its tangential traction vanishes on the sphere. The dynamic normal traction is , while the hydrostatic normal-traction variation is . Their dipoles cancel at the terminal velocity, leaving a constant total normal stress compatible with uniform gas pressure even when surface tension is zero. This is an exact spherical solution in the stated Stokes model, not a proof of shape stability under arbitrary perturbations.

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