Dynamics of Mass Transfer through the Interface between Immiscible Liquids under the Resonance Effect of Ultrasound

Abstract

The specific features of the resonance behavior of the radial vibrations of a droplet of liquid placed into an immiscible liquid have been considered based on the derived nonlinear equation that takes into account a stimulating effect in the form of acoustic pressure that periodically varies with time. Analytical formulas have been derived for the rate of mass transfer as a function of the amplitude of the oscillations of acoustic pressure and the duration of ultrasonic treatment of the volume of an extractor. The threshold values of the amplitude of ultrasound and the characteristic time (increment) of parametric instability have been found. A method has been proposed for varying the pumping frequency in order to achieve the maximum efficiency of extraction under the stimulating effect of ultrasound.