Characteristics of the Reflection and Refraction of Acoustic Waves at an “Oblique” Incidence on the Interface between “Pure” and Bubbly Liquids


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Abstract

The characteristics of the reflection and refraction of harmonic waves at its “oblique” incidence on an interface between a “pure” liquid and liquid with bubbles filled with a vapor–gas mixture have been studied. For the considered problem, we have obtained the dispersion equation and carried out a numerical analysis of the effect of the perturbation frequencies in the range 102–107 s–1 on the dependence of the angle of refraction on that of incidence for three equilibrium temperatures \({{T}_{0}}.\) The dependence of the critical angle of incidence on the parameters of a two-phase system and the perturbation frequencies has been studied for the same reflection.

About the authors

V. Sh. Shagapov

Mavlyutov Institute of Mechanics, Ufa Science Center, Russian Academy of Sciences

Email: monk@anrb.ru
Russian Federation, Ufa, 450054

M. N. Galimzyanov

Mavlyutov Institute of Mechanics, Ufa Science Center, Russian Academy of Sciences; Ufa State Aviation Technical University; Bashkir State University

Author for correspondence.
Email: monk@anrb.ru
Russian Federation, Ufa, 450054; Ufa, 450008; Ufa, 450076

I. I. Vdovenko

Bashkir State University

Email: monk@anrb.ru
Russian Federation, Ufa, 450076

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