OJA  Vol.5 No.3 , September 2015
To the Question of Sound Waves Propagation in Liquid
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.
Cite this paper: Ivanov, V. and Ivanova, G. (2015) To the Question of Sound Waves Propagation in Liquid. Open Journal of Acoustics, 5, 112-121. doi: 10.4236/oja.2015.53010.

[1]   Gorelik, G.S. (1959) Oscillations and Waves. 2nd Edition, FM Press, Moscow.

[2]   Landau, L.D. and Lifshitz, V.M. (1988) Hydrodynamics. Science Press, Moscow.

[3]   Brekhovskikh, L.M. (1973) Waves in Layered Media. Science Press, Moscow.

[4]   Smirnov, V.I. (1958) A Higher Mathematics Course. Vol. 2, Moscow.

[5]   Landsberg, G.S. (1940) An Optics, Moscow.

[6]   Haykin, S.E. (1947) A Mechanics, Moscow.

[7]   Shabalin, O.D. (1981) A Mechanics and Acoustics Physical Principles, Moscow.

[8]   Kaplan, I.G. (1982) Introduction to the Theory of Intermolecular Interactions. Nauka Press, Moscow.

[9]   Landau, L.D. and Lifshitz, V.M. (1963) Quantum Mechanics: Non-Relativistic Theory. Moscow.

[10]   Bernal, Dg.D. (1967) Structure of liquids, Quantum macrophysics. Vol. 5, Science Press, Moscow.

[11]   Ivanov, V.P. and Ivanova, G.K. (2013) Some Aspects of Ray Representation Running Sound Waves in Liquid Spaces, Open Journal of Acoustics, 3, 7-13.

[12]   Ivanov, V.P. and Ivanova, G.K. (1913) A New Concept of Calculation Coefficients of Reflection and Passage Sound Waves on the Boundary of Liquid Spaces. Open Journal of Acoustics, 3, 72-79.

[13]   Born, M.A. and Wolf, E. (1965) A Principles of Optics. Pergamon Press, New York.