Verification of a front-tracking model of two-fluid interface Kelvin-Helmholtz instability by study of travelling waves

2007 ◽  
Vol 24 (11) ◽  
pp. 1171-1181 ◽  
Author(s):  
Mingming Tong ◽  
David J. Browne
Keyword(s):  
Travelling Waves ◽  
Front Tracking ◽  
Fluid Interface ◽  
Helmholtz Instability ◽  
Tracking Model ◽  
Two Fluid

Transmission and reflection of a real sound beam at a two‐fluid interface

1989 ◽  
Vol 85 (S1) ◽  
pp. S93-S93
Author(s):  
Jacqueline Naze Tjøtta ◽  
Hans‐Christen Salvesen ◽  
Sigve Tjøtta
Keyword(s):  
Fluid Interface ◽  
Sound Beam ◽  
Two Fluid ◽  
Transmission And Reflection

Viscosity effect on the longwave instability of a fluid interface subjected to horizontal vibrations

2017 ◽  
Vol 814 ◽  
pp. 24-41 ◽  
Author(s):  
D. V. Lyubimov ◽  
G. L. Khilko ◽  
A. O. Ivantsov ◽  
T. P. Lyubimova
Keyword(s):  
Linear Stability ◽  
High Frequency ◽  
Incompressible Fluids ◽  
Basic Flow ◽  
Fluid Interface ◽  
Helmholtz Instability ◽  
Stability Boundaries ◽  
Low Frequencies ◽  
Viscosity Effect ◽  
High Frequency Vibrations

The effect of viscosity on the longwave Kelvin–Helmholtz instability of two immiscible incompressible fluids under horizontal vibrations is considered. The linear stability boundaries are found analytically using series expansion in terms of small wavenumber. The values of parameters, at which a transition from the longwave to finite-wavelength instability takes place, are determined. It has been shown that for high-frequency vibrations a viscous dissipation has just a weak destabilizing effect. At vibrations of moderate frequencies, destabilization is more significant, especially in the systems with large viscosity contrast. In contrast to that, at low frequencies the viscosity stabilizes the basic flow by suppressing the longwave perturbations.

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