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Droplet interactions in thermocapillary motion. (English) Zbl 0575.76096
The dynamics of two spherical droplets, whose movement is driven by variations in interfacial tension caused by a temperature gradient, are analyzed using a method of reflections. Both droplets have the same internal fluid properties but may differ in size, and the configuration of the droplets is arbitrary relative to the direction of the undisturbed temperature gradient. The method of reflections is based on an analysis of the thermal and hydrodynamic disturbances produced by a single droplet placed in an arbitrarily varying temperature field. The results for two- droplet interactions are correct to $$O(r^{-6})$$, where r is the center- to-center distance between the droplets.

##### MSC:
 76T99 Multiphase and multicomponent flows
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