Steady solutions for bubbles in dipole-driven Stokes flows

In this paper we present a new family of steady bubble solutions in two-dimensional slow viscous flow, driven by a dipole singularity within the flow and surface tension effects at the bubble boundary. These solutions generalize the semi-infinite domain solution constructed by Jeong and Moffatt [J. Fluid Mech. 241, 1 (1992)] to describe their experimental observations for free surface flow in a large tank driven by counter-rotating rollers (the dipole singularity models the action of the rollers). (C) 2000 American Institute of Physics.