Low-frequency dispersion in bubbly liquids

Statistical mechanics of bubbly liquids

The dynamics of bubbles at high Reynolds numbers is studied from the viewpoint of statistical mechanics. Individual bubbles are treated as dipoles in potential flow. A virtual mass matrix of the system of bubbles is introduced, which depends on the instantaneous positions of the bubbles, and is used to calculate the energy of the bubbly flow as a quadratic form of the bubbles’ velocities. The e...

Shock Propagation in Polydisperse Bubbly Liquids

We investigate the shock dynamics of liquid flows containing small gas bubbles, based on a continuum bubbly flow model. Particular attention is devoted to the effects on shock dynamics of distributed bubble sizes and gas-phase nonlinearity. Ensemble-averaged conservation laws for polydisperse bubbly flows, together with a Rayleigh–Plesset-type model for single bubble dynamics, form the starting...

Waves in bubbly liquids with phase change

Low-frequency spatial dispersion in wire media.

This work is dedicated to the theoretical analysis of wire media, i.e., lattices of perfectly conducting wires consisting of two or three doubly periodic arrays of parallel wires which are orthogonal to one another. An analytical method based on the local field approach is used. The explicit dispersion equations are presented and studied. The possibility of introducing a dielectric permittivity...

Investigating Acoustic Causality in Highly Dispersive Bubbly Liquids