Bubble effect on Kelvin-Helmholtz' instability

Sergey L. Gavrilyuk , Henri Gouin (1, 2) , Vladimir M. Teshukov

1 LMMT - Laboratoire de Modélisation Mécanique et Thermodynamique, EA 2596
2 IUSTI - Institut universitaire des systèmes thermiques industriels

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.

Mots clés: Bubbly fluids; boundary conditions; stability

Domaines: Mécanique des fluides [physics.class-ph]; Physique mathématique [math-ph]

Sergey L. Gavrilyuk, Henri Gouin, Vladimir M. Teshukov. Bubble effect on Kelvin-Helmholtz' instability. Continuum Mechanics and Thermodynamics, 2004, 16 (1-2), pp.31-42. ⟨10.1007/s00161-003-0139-z⟩. ⟨hal-00204936⟩