ON THE ACTION OF ACOUSTIC RADIATION ON A DROP OF VISCOUS LIQUID IN IDEAL FLUID

Abstract

The paper examines the propagation of a plane acoustic wave in an ideal fluid containing a droplet of a viscous fluid . The influence of the time-averaged value of the hydrodynamic force caused by the wave field — the radiation force — and the acoustic radiation force is being investigated . The problem formulation involves calculating the hydrodynamic force to second-order accuracy . The acoustic radiation force is determined as follows: first, the linear problem of diffraction of the incident primary wave on the drop is solved, then the hydrodynamic force acting on it is calculated, followed by its averaging over the period of the primary wave . To satisfy the boundary conditions on the spherical surface of the droplet, the potentials of the incident and reflected waves in the surrounding ideal fluid, as well as the corresponding potentials in the viscous fluid of the droplet, were expanded into spherical wave functions . Using the obtained analytical formula for calculating the acoustic radiation force, the nature of the acoustic radiation’s effect on the droplet was numerically determined .