We derive boundary conditions at interfaces (contact discontinuities) for a class of Lagrangian models describing, in particular, bubbly flows. We use these conditions to study Kelvin-Helmholtz' instability which develops in the flow of two superposed layers of a pure incompressible fluid and a fluid containing gas bubbles, co-flowing with different velocities. We show that the presence of bubbles in one layer stabilizes the flow in some intervals of wave lengths.
Publié le : 2004-02-01
Classification:
Bubbly fluids,
boundary conditions,
stability,
47.20.Ma; 47.55.Dz; 47.55.Kf,
[PHYS.MECA.MEFL]Physics [physics]/Mechanics [physics]/Mechanics of the fluids [physics.class-ph],
[MATH.MATH-MP]Mathematics [math]/Mathematical Physics [math-ph]
@article{hal-00204936,
author = {Gavrilyuk, Sergey, and Gouin, Henri and Teshukov, Vladimir, },
title = {Bubble effect on Kelvin-Helmholtz' instability},
journal = {HAL},
volume = {2004},
number = {0},
year = {2004},
language = {en},
url = {http://dml.mathdoc.fr/item/hal-00204936}
}