Thermocapillary migration of a planar droplet at small and large Marangoni numbers: effects of interfacial rheology
作者： Zuo-Bing Wu
DOI: 10.1007/S00033-019-1231-Y
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摘要: In this paper, roles of interfacial rheology on thermocapillary migration a planar droplet at small and large Marangoni numbers are analyzed. Under quasi-steady-state assumption, the time-independent momentum energy equations with boundary conditions determined. An exact solution steady deformed is obtained. It found that has an oblate shape. The deviation from circular section depends Weber number speed. surface shear viscosity, dilatational viscosity internal parameter affect deformation through reducing validity confirmed by determining conservative overall integral equations. At numbers, non-conservative imply always unsteady process.
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sci-hub.se 参考文章(37)
正一 脇屋, J. Happel and H. Brenner: Low Reynolds Number Hydrodynamics, Prentice-Hall, 1965, 553頁, 16×23cm, 6,780円. 日本物理學會誌. ,vol. 24, pp. 188- 189 ,(1969)
P. S. Ayyaswamy, S. S. Sadhal, J. N. Chung, Transport phenomena with drops and bubbles ,(1996)
Yi Sui, Moving towards the cold region or the hot region? Thermocapillary migration of a droplet attached on a horizontal substrate Physics of Fluids. ,vol. 26, pp. 092102- ,(2014) , 10.1063/1.4894077
R Balasubramaniam, An-Ti Chai, Thermocapillary migration of droplets: an exact solution for small Marangoni numbers joint international conference on information sciences. ,vol. 119, pp. 531- 538 ,(1987) , 10.1016/0021-9797(87)90300-6
John Happel, Howard Brenner, Low Reynolds number hydrodynamics ,(1965)
R. Sun, W. R. Hu, Planar thermocapillary migration of two bubbles in microgravity environment Physics of Fluids. ,vol. 15, pp. 3015- 3027 ,(2003) , 10.1063/1.1607326
J. Zhang, M. J. Miksis, S. G. Bankoff, Nonlinear dynamics of a two-dimensional viscous drop under shear flow Physics of Fluids. ,vol. 18, pp. 072106- ,(2006) , 10.1063/1.2222336
Cheng Wang, Bhargav Rallabandi, Sascha Hilgenfeldt, Frequency dependence and frequency control of microbubble streaming flows Physics of Fluids. ,vol. 25, pp. 022002- ,(2013) , 10.1063/1.4790803
Stefan Mählmann, Demetrios T. Papageorgiou, Buoyancy-driven motion of a two-dimensional bubble or drop through a viscous liquid in the presence of a vertical electric field Theoretical and Computational Fluid Dynamics. ,vol. 23, pp. 375- 399 ,(2009) , 10.1007/S00162-009-0158-X
O. Manor, O. Lavrenteva, A. Nir, Effect of non-homogeneous surface viscosity on the Marangoni migration of a droplet in viscous fluid. joint international conference on information sciences. ,vol. 321, pp. 142- 153 ,(2008) , 10.1016/J.JCIS.2008.02.004