The hydrodynamic interaction of two slowly evaporating spheres



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The Physics of Fluids


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.



Eddies, Laminar flows


Copyright 1989 Physics of Fluids. Recommended citation: Oguz, Hasan N., Andrea Prosperetti, and Dario Antonelli. "The hydrodynamic interaction of two slowly evaporating spheres." Physics of Fluids A: Fluid Dynamics 1, no. 10 (1989): 1656-1665. DOI: 10.1063/1.857531 URL: Reproduced in accordance with the original publisher’s licensing terms and with permission from the author(s).