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.


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


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


See the expanding block below.

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 and Optimization – Romania), 1996, vol. II, pp. 117-118.


About this paper


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

Publisher Name
Paper on journal website






Google Scholar


[1] E. Chifu, I. Stan, Z. Finta ans E. Gavrila,  Marangoni-Type Surface Flow on an Undeformable Free Drop,  J. Colloid. Interface Sci, 93, 1983, pp. 140-150.

[2] I. Stan, E. Chifu, Z. Finta and E. Gavrila,
Marangoni Translational  Motion of a Free Drop Initially at Rest,  Rev. Roumaine Chim. 34, 1989, no. 2, 603-615

[3] I. Stan, C. I. Gheorghiu and Z. Kasa,
 Effects of Surfactants on an Undeformable Drop Initially at Rest,  Studia Univ. “Babs-Bolyai”, Mathematica, 1993, no. XXXVIII, 113-126.

[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,
 On the deformation and drag or a falling viscous drop at low Reynolds number,  J. Fluid Mech. 1964, no. 18, 466-476.

[6] C. Pozrikidis,
 On the transient motion of ordered suspensions of liquid drops,  J. Fluid Mech., 1993, no. 246, 301-320.

[7] D. D. Joseph, K. Nguywn and G. S. Beavers,
 Non-uniqueness and stability of the configuration of flow of immiscible fluids with different viscosities,  J. Fluid Mech., 1994, no. 141, 319-345.

Related Posts