论声波在液体中的传播问题

V. Ivanov, G. K. Ivanova
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引用次数: 1

摘要

本文提出考虑由于介质的特殊变形而引起的声波在液体中的传播。膜(隔膜)的机械振动产生声波,在介质中从一层传递到另一层,而不会引起流体颗粒的同步振荡。可以假设液体在垂直于振动膜平面方向上的变形与驱动力(压力)相似。通常用行波函数来描述声波,但行波函数不包含声波的传播方向。建议考虑波的振幅是与波的路径相切的矢量重合的矢量。这将允许在不改变其相位的情况下改变传播方向,其中波的方向不存在。根据声波的脉冲和能量守恒定律和斯涅尔定律的边界条件,提出了一种计算反射和透射声波振幅矢量的方法。结果表明,波动方程的两种解中有一种解并不适用于声波在液体中传播的实际物理过程。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
To the Question of Sound Waves Propagation in Liquid
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.
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