Propagating through a monodisperse bubbly liquid

Martin Devaud (1) , Thierry Hocquet (1) , Jean-Claude Bacri (1) , Valentin Leroy (2, 3)

1 MSC - Matière et Systèmes Complexes
2 LOA - Laboratoire Ondes et Acoustique (UMR 7587)
3 Department of physics and astronomy [Winnipeg]

We present a theoretical study of the propagation of a plane pressure wave in an unbounded monodisperse bubbly liquid. At large wavelengths, this liquid is described as a continuous diphasic medium. Two passing bands are then displayed, separated by a forbidden band. The low-frequency branch, weakly affected by water compressibility, corresponds to a bubble wave propagation. The high-frequency branch, strongly dependent on water compressibility, accounts for sound propagation. Our results are compared with the dispersion relation obtained by Foldy in the mid forties, and are found in partial agreement with it. The role of dissipation is discussed.

Mots clés: Bubble; Wave propagation; Dispersion relation; Foldy; Minnaert; Radiative picture; Bubblons

Domaines: Matière Molle [cond-mat.soft]; Acoustique [physics.class-ph]

Martin Devaud, Thierry Hocquet, Jean-Claude Bacri, Valentin Leroy. Propagating through a monodisperse bubbly liquid. 2007. ⟨hal-00163629⟩