Interfacial instabilities in thin stratified viscous fluids under microgravity

2000 ◽  
Vol 26 (3) ◽  
pp. 203-217 ◽  
Author(s):  
Sang W Joo ◽  
Kwang-Chung Hsieh
Author(s):  
Robert Nourgaliev ◽  
Meng-Sing Liou ◽  
Theo Theofanous

We assess the state of the art in numerical prediction of interfacial instabilities due to shear in layered flows of viscous fluids. Basic ingredients of this assessment include linear stability analysis results for both miscible (diffuse) and immiscible (sharp) interfaces, the physics and resolution requirements of the critical layer, and convergence properties of the relevant numerical schemes. Behaviors of physically and numerically diffuse interfaces are contrasted and the case for a sharp interface treatment for reliable predictions of this class of flows is made.


2004 ◽  
Vol 19 (2) ◽  
pp. 118-128 ◽  
Author(s):  
R. Valette ◽  
P. Laure ◽  
Y. Demay ◽  
J.-F. Agassant

2015 ◽  
Vol 55 ◽  
pp. 317
Author(s):  
Lawrence Forbes ◽  
Rhys Paul ◽  
Michael Chen ◽  
David Horsley
Keyword(s):  

2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
Changsheng Dou ◽  
Jialiang Wang ◽  
Weiwei Wang

AbstractWe investigate the effect of (interface) surface tensor on the linear Rayleigh–Taylor (RT) instability in stratified incompressible viscous fluids. The existence of linear RT instability solutions with largest growth rate Λ is proved under the instability condition (i.e., the surface tension coefficient ϑ is less than a threshold $\vartheta _{\mathrm{c}}$ ϑ c ) by the modified variational method of PDEs. Moreover, we find a new upper bound for Λ. In particular, we directly observe from the upper bound that Λ decreasingly converges to zero as ϑ goes from zero to the threshold $\vartheta _{\mathrm{c}}$ ϑ c .


2021 ◽  
pp. 116723
Author(s):  
Jiecai Long ◽  
Yu He ◽  
Xiaobin Zhan ◽  
Zhibin Sun ◽  
Baojun Shen ◽  
...  

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