To the Question of Sound Waves Propagation in Liquid

V P Ivanov,G K Ivanova

doi:10.4236/oja.2015.53010

Abstract

This paper is proposed to consider the propagation of sound waves in the liquid as a result of special deformation of the medium. Mechanical vibrations of the membrane, (diaphragm) creating a sound wave, transfer from layer to layer in medium without causing synchronous oscillations of the fluid particles. It can be assumed that the deformation of the liquid is similar to the driving force (pressure) in the direction perpendicular to the plane of the vibrating membrane. Usually, the running wave functions are used to describe the sound waves, but they do not contain the direction of propagation. It is proposed to consider that the amplitude of the wave is a vector coinciding with the vector tangent to the path of the wave. This would allow for a change of direction of propagation without changing its phase, in which the direction of wave is not present. It proposed a method of calculating a vector of amplitudes of the reflected and transmitted sound waves based on the laws of conservation of impulse and energy of the waves and the boundary conditions defined by Snell’s law. It is shown that one of the two solutions of the wave equation does not apply to real physical process of sound wave’s propagation in the liquid.

Highlights

Propagation of sound waves in the liquid has one character feature which is fixed in numerous experiments
It is proposed to consider the process of propagation of sound in adiabatic liquid as deformation of the liquid under the influence of a sound wave without appreciable interaction with the environment
This propagation of sound waves is similar to propagation of electromagnetic waves in a vacuum

Summary

Introduction

Propagation of sound waves in the liquid has one character feature which is fixed in numerous experiments. We propose to introduce the direction of propagation of the wave in it amplitude, consider it is a vector, which coincides with the velocity vector (trajectory) of sound in the liquid. In [11] it is shown that one of the solutions (second) WE for a sound wave, which argument (phase) of the running wave is the sum of spatial and temporal components, does not satisfy the differential equations of the 1st order, (1) obtained in [2] We consider this decision WE in detail. The direction of the pressure created by it coincides with the vector perpendicular to the plane of oscillation of the membrane and determine by initial conditions This direction is the direction of propagation of the wave in the liquid.

Ri θ θ'

Conclusions