The stationary motion of a weakly deformed drop in the flow of a viscous fluid

The flow of a drop of viscous, incompressible fluid in another viscous, incompressible fluid is studied with values of the viscosities, densities, surface tension, and drop size which guarantee small deviation of the shape of the drop from spherical. The effect of the deviation on the character of the flow, the drag coefficient, etc. is considered. The cell model for the motion of a weakly deformed drop is investigated. An approximate formula is given for finding the drag coefficient in constrained flow. Some cases of nonisothermic motion of a spherical drop are studied.