Pinchoff and satellite formation in surfactant covered viscous threads

被引:90
作者
Craster, RV
Matar, OK
Papageorgiou, DT
机构
[1] Univ London Imperial Coll Sci Technol & Med, Dept Math, London SW7 2BZ, England
[2] Univ London Imperial Coll Sci Technol & Med, Dept Chem Engn & Chem Technol, London SW7 2BY, England
[3] New Jersey Inst Technol, Dept Math Sci, Newark, NJ 07102 USA
关键词
D O I
10.1063/1.1449893
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
The breakup of viscous liquid threads covered with insoluble surfactant is investigated here; partial differential equations governing the spatio-temporal evolution of the interface and surfactant concentrations are derived in the long wavelength approximation. These one-dimensional equations are solved numerically for various values of initial surfactant concentration, surfactant activity and the Schmidt number (a measure of the importance of momentum, i.e., kinematic viscosity, to surfactant diffusion). The presence of surfactant at the air-liquid interface gives rise to surface tension gradients and, in turn, to Marangoni stresses, that drastically affect the transient dynamics leading to jet breakup and satellite formation. Specifically, the size of the satellite formed during breakup decreases with increasing initial surfactant concentration and surfactant activity. The usual self-similar breakup dynamics found in the vicinity of the pinchoff location for jets without surfactant [Eggers, Phys. Rev. Lett. 71, 3458 (1993)], however, are preserved even in the presence of surfactant; this is confirmed via numerical solutions of the initial boundary value problem. (C) 2002 American Institute of Physics.
引用
收藏
页码:1364 / 1376
页数:13
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