Abstract
This paper quantifies the effect of interfacial viscosity on the translational speed of a drop in Stokes flow. In the limit of negligible droplet deformation and surface concentration inhomogeneities, the droplet mobility is equal to a clean droplet with a modified interior viscosity ηin*=ηin+2ηκ3a, where ηκ is the interfacial dilational viscosity and a is the droplet radius. This paper focuses on the physical explanation of these results via symmetry/scaling arguments, which illustrates why interfacial shear viscosity is unimportant. We conclude by calculating how surface concentration inhomogeneities and two-body hydrodynamic interactions alter these results.
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