A numerical study of vorticity layers in a two-dimensional stratified shear flow

Meccanica ◽  
1994 ◽  
Vol 29 (4) ◽  
pp. 489-505 ◽  
Author(s):  
Chantal Staquet
2013 ◽  
Vol 87 ◽  
pp. 57-66 ◽  
Author(s):  
Tsorng-Whay Pan ◽  
Shih-Lin Huang ◽  
Shih-Di Chen ◽  
Chin-Chou Chu ◽  
Chien-Cheng Chang

2015 ◽  
Vol 27 (8) ◽  
pp. 083303 ◽  
Author(s):  
Shih-Lin Huang ◽  
Shih-Di Chen ◽  
Tsorng-Whay Pan ◽  
Chien-Cheng Chang ◽  
Chin-Chou Chu

1993 ◽  
Vol 19 (1-4) ◽  
pp. 325-366 ◽  
Author(s):  
C.-L. Lin ◽  
J.H. Ferziger ◽  
J.R. Koseff ◽  
S.G. Monismith

1991 ◽  
Vol 11 (Supplement1) ◽  
pp. 157-160 ◽  
Author(s):  
Jun Sakakibara ◽  
Tsuyoshi Takada ◽  
Kenichi Kobayashi ◽  
Koichi Hishida ◽  
Masanobu Maeda

2011 ◽  
Vol 10 (2) ◽  
pp. 453-473 ◽  
Author(s):  
Jian-Jun Xu ◽  
Zhilin Li ◽  
John Lowengrub ◽  
Hongkai Zhao

AbstractIn this paper, we numerically investigate the effects of surfactant on drop-drop interactions in a 2D shear flow using a coupled level-set and immersed interface approach proposed in (Xu et al., J. Comput. Phys., 212 (2006), 590-616). We find that surfactant plays a critical and nontrivial role in drop-drop interactions. In particular, we find that the minimum distance between the drops is a non-monotone function of the surfactant coverage and Capillary number. This non-monotonic behavior, which does not occur for clean drops, is found to be due to the presence of Marangoni forces along the drop interfaces. This suggests that there are non-monotonic conditions for coalescence of surfactant-laden drops, as observed in recent experiments of Leal and co-workers. Although our study is two-dimensional, we believe that drop-drop interactions in three-dimensional flows should be qualitatively similar as the Maragoni forces in the near contact region in 3D should have a similar effect.


2006 ◽  
Vol 63 (2) ◽  
pp. 611-616 ◽  
Author(s):  
Robert Davies-Jones

Abstract In Part I, a general integral of the 2D vorticity equation was obtained. This is a formal solution for the vorticity of a moving tube of air in a 2D unsteady stratified shear flow with friction. This formula is specialized here to various types of 2D flow. For steady inviscid flow, the integral reduces to an integral found by Moncrieff and Green if the flow is Boussinesq and to one obtained by Lilly if the flow is isentropic. For steady isentropic frictionless motion of clear air, several quantities that are invariant along streamlines are found. These invariants provide another way to obtain Lilly’s integral from the general integral.


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