Abstract

The Stokes flow induced by the slow evaporation or condensation of two spheres is studied. The phase-change velocity is prescribed and uniform over the surfaces of the spheres. Exact expressions are obtained for the streamfunction and the drag forces. Simpler expressions applicable to a variety of limit cases (distant spheres, a source and a sphere, and a sphere and a plane) are presented. When only one sphere is evaporating, depending on the distance from the other sphere, the flow may exhibit a variety of interesting behaviors such as smooth-boundary separation, closed recirculating eddies, and infinite open eddies.

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