Study of the oscillations of drops of newtonian liquids induced by acoustic vibrations

IF 0.6 Q3 MULTIDISCIPLINARY SCIENCES

Atti Accademia Peloritana dei Pericolanti-Classe di Scienze Fisiche Matematiche e Naturali Pub Date : 2021-09-30 DOI:10.1478/AAPP.99S1A23

Ferdinando Catalano, Antonio Cerza, Filippo Invernizzi, Sonia Migliavacca, Elio Scholtz, G. Castorina

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引用次数: 1

Abstract

The aim of this paper is to verify the applicability of the Rayleigh-Lamb equation to drops having different diameters and, specifically, with diameters of the order of magnitude of centimeters (macro drops), millimeters or micrometers (micro drops). On this purpose three experiments have been taken into account. A completely new fact is constituted by the following question: it is possible to apply the Rayleigh-Lamb equation to a heterogeneous drop like that represented by a soap bubble, characterized by a surface tension different from the substance constituting the drop’s mass (air)? The results reported in this paper seem to confirm that this is possible. The order of magnitude of the calculated autofrequencies is comparable to that observed experimentally. The limitations of the experiments are the geometry of the system. The Rayleigh-Lamb equation applies, strictly speaking, to a free drop not subjected to the action of external forces. This would be possible through the use of special devices, i.e the Acoustical Levitated. Therefore, it was decided to carry out the experiments with drops bound by viscous adhesion to the respective supports. It is evident that the geometry of the drop is no longer perfectly spherical, however the results obtained do not seem to have suffered greatly from this limitation.

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声学振动引起牛顿液体液滴振荡的研究

本文的目的是验证瑞利-兰姆方程对具有不同直径的液滴的适用性，特别是直径为厘米（大液滴）、毫米或微米（微液滴）数量级的液滴。为此，已经考虑了三个实验。以下问题构成了一个全新的事实：是否可以将瑞利-兰姆方程应用于由肥皂泡表示的非均匀液滴，其特征是表面张力不同于构成液滴质量的物质（空气）？本文报告的结果似乎证实了这是可能的。计算的自频率的数量级与实验观察到的自频率相当。实验的局限性在于系统的几何形状。严格地说，瑞利-兰姆方程适用于不受外力作用的自由液滴。这可以通过使用特殊设备实现，即声学悬浮装置。因此，决定用通过粘性粘附到相应支撑物上的液滴进行实验。很明显，液滴的几何形状不再是完美的球形，然而所获得的结果似乎没有受到这种限制的很大影响。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Atti Accademia Peloritana dei Pericolanti-Classe di Scienze Fisiche Matematiche e Naturali MULTIDISCIPLINARY SCIENCES-

CiteScore

3.80

自引率

0.00%

发文量

审稿时长

31 weeks

期刊介绍： This journal is of a multi- and inter-disciplinary nature and covers a broad range of fields including mathematics, computer science, physics, chemistry, biology, earth sciences, and their intersection. History of science is also included within the topics addressed by the journal. The transactions of the Pelorian Academy started out as periodic news sheets containing the notes presented by the members of the Divisions into which the Academy has been and still is organized, according to subject areas. The publication of these notes for the Division (“Classe”) of Mathematical, Physical and Natural Sciences is the responsibility of the Editorial Committee, which is composed of the Director of the division with the role of Chairman, the Vice-Director, the Secretary and two or more other members. Besides original research articles, the journal also accepts texts from conferences and invited talks held in the Academy. These contributions are published in a different section of the journal. In addition to the regular issues, single monographic supplements are occasionally published which assemble reports and communications presented at congresses, symposia, seminars, study meetings and other scientific events organized by the Academy or under its patronage. Since 2004 these transactions have been published online in the form of an open access electronic journal.