Effect of surface elasticity on the motion of a droplet in a viscous fluid

2006 ◽  
Vol 125 (12) ◽  
pp. 124904 ◽  
Author(s):  
B. U. Felderhof
1960 ◽  
Vol 9 (2) ◽  
pp. 218-224 ◽  
Author(s):  
G. I. Taylor

Two mechanisms by which a viscous fluid can be deposited on a plane surface are described. Measurement of the thickness of the deposit are compared with calculated values. It is found that the two agree within rather wide limits of experimental error provided the effect of surface tension can be neglected, and the conditions under which this is legitimate are discussed.


2012 ◽  
Vol 51 ◽  
pp. 075001
Author(s):  
Haiyan Yao ◽  
Guohong Yun ◽  
Narsu Bai ◽  
Jiangang Li

Langmuir ◽  
2000 ◽  
Vol 16 (6) ◽  
pp. 2942-2956 ◽  
Author(s):  
K. D. Danov ◽  
V. L. Kolev ◽  
P. A. Kralchevsky ◽  
G. Broze ◽  
A. Mehreteab

1986 ◽  
Vol 163 ◽  
pp. 59-67 ◽  
Author(s):  
Kalvis M. Jansons

The motion of a viscous drop in a vertical Hele-Shaw cell is studied in a limit where the effect of surface tension through contact-angle hysteresis is significant. It is found that a rectangular drop shape is a possible steady solution of the governing equations, although this solution is unstable to perturbations on the leading edge. Even though the unstable edge is one where a viscous fluid is moving into a less viscous fluid, in this case air, this is shown to be a special case of the well-known Saffman—Taylor instability. An experiment is performed with an initially circular drop in which it is observed that the drop shape becomes approximately rectangular except at the leading edge, where it becomes rounded and sometimes has a ragged appearance.A drop sliding down a vertical Hele-Shaw cell is an example of a system where the action of surface tension is not always one of smoothing, since in this case it leads to the formation of right-angle corners at the back of the drop (rounded only slightly on the lengthscale of the gap thickness of the cell).


2012 ◽  
Vol 51 (7R) ◽  
pp. 075001 ◽  
Author(s):  
Haiyan Yao ◽  
Guohong Yun ◽  
Narsu Bai ◽  
Jiangang Li

2010 ◽  
Vol 78 (2) ◽  
Author(s):  
Q. F. Zhang ◽  
G. F. Wang ◽  
P. Schiavone

When the radius of a hole reduces to nanometers, the influence of surface energy becomes prominent in its mechanical behavior. In the present paper, we consider the diffraction of plane compressional waves by an array of nanosized circular holes in an elastic medium. The effect of surface energy is taken into account through surface elasticity theory. Using the wave expansion method, we derive the corresponding elastic diffraction fields. Dynamic stress concentrations around the holes and the scattering cross section are calculated to address the surface effects on the diffraction phenomena.


2013 ◽  
Vol 111 (21) ◽  
Author(s):  
Richard Villey ◽  
Emmanuelle Martinot ◽  
Cécile Cottin-Bizonne ◽  
Magali Phaner-Goutorbe ◽  
Liliane Léger ◽  
...  

2008 ◽  
Vol 100 (13) ◽  
Author(s):  
A. Steinberger ◽  
C. Cottin-Bizonne ◽  
P. Kleimann ◽  
E. Charlaix

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