On the motion of a drop due to a surface tension gradient

The motion at low Reynolds numbers of a liquid drop in a quiescent unbounded liquid due to a surface tension gradient acting on the interface of the two liquids is investigated by an asymptotic analysis. At small (less than unity) values of Weber number we find that the drop deformations become proportional to the square of the values of the surface tension gradients.

liquid drop; surface tension; small deformations; axisymmetric motion; small Weber number;

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C.I. Gheorghiu, T. Petrila, On the motion of a drop due to a surface tension gradient, Proceedings of ICAOR (International Conference on Approximation and Optimization – Romania), 1996, vol. II, pp. 117-118.

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