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

Abstract

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.

Authors

C.I. Gheorghiu
Tiberiu Popoviciu Institute of Numerical Analysis
T. Petrila

Keywords

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

References

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Paper coordinates

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

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Proceedings of the International Conference on approximation and Optimization (Romania) -ICAOR

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References

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[4] R. S. Subramanian,
 The Motion of Bubbles and Drops in Reduced Gravity in Transport Processes in Bubbles, Drops and Particles (Eds. R. P. Chhabra D. DeKee), Hemisphere, New York, 1990.

[5] T. D. Taylor and A. Acrivos,
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[6] C. Pozrikidis,
 On the transient motion of ordered suspensions of liquid drops,  J. Fluid Mech., 1993, no. 246, 301-320.

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 Non-uniqueness and stability of the configuration of flow of immiscible fluids with different viscosities,  J. Fluid Mech., 1994, no. 141, 319-345.

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