Related Experiment Video
Updated: Aug 25, 2026

Induction of Microstreaming by Nonspherical Bubble Oscillations in an Acoustic Levitation System
Published on: May 9, 2021
Influence of the slow wave on the relation between the angular resonances and the leaky guided modes properties for a
Gaël Belloncle1, Francine Luppé, Hervé Franklin
1LAUE, UMR CNRS 6068, Place Robert Schuman, 76610 Le Havre, France. belloncle@iut.univ-lehavre.fr
Abstract:
A numerical study of the guided modes in a water-saturated poroelastic plate that obeys the Biot theory is presented. In the first part, we study the leaky guided modes and the angular resonances when the slow wave does not propagate. Two types of guided modes exist. The first ones occur from coupling of the fast longitudinal wave with the shear wave; most of them propagate whatever the frequency is, provided that it is not close to their cut-off frequencies. The leaky guided modes of the second type occur from coupling of the two longitudinal waves and the shear wave. These modes do not propagate (they are highly damped) as long as the slow wave remains diffusive. We show that the characteristics of the angular resonances can be linked to the leaky guided waves of the first type in the same way as for an elastic plate. The guided modes of the second type may not be associated to angular resonances. In the second part, we consider a thinner plate in a higher frequency range so that the slow wave can propagate. Once again its influence is studied both on the leaky guided modes and on the angular resonances.
Related Concept Videos
Partial Differential Equations
Sound Waves: Resonance
Sound as Pressure Waves
The pressure fluctuation depends on the difference in displacements between the successive points in the...
Steady, Laminar Flow Between Parallel Plates
Standing Waves in a Cavity
Modes of Standing Waves: II
For a tube open at one end and closed at the other filled with air, the modes are such that there is always an antinode at the open end and a node at the closed end.
