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Article citations


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

has been cited by the following article:

  • TITLE: To the Question of Sound Waves Propagation in Liquid

    AUTHORS: V. P. Ivanov, G. K. Ivanova

    KEYWORDS: Sound Running Waves, Wave Equation, Reflection, Passage, Liquid Space

    JOURNAL NAME: Open Journal of Acoustics, Vol.5 No.3, September 17, 2015

    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.