<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>The aim of this paper is to investigate the coupled oscillations of multiple bubbles within a cluster. The interaction between a bubble and the other bubbles in a cluster produces an additional mass. For a fixed number of bubbles and uniformly distributed (<italic>N</italic> ---gt------gt--- 1), in case of a certain value of the bubbles number density, we deduce the relations analogous to the Eddington relation (between the cluster radius and the bubble radius) and the Sciama relation (between the cluster radius and the gravitoacoustic radius) according to Mach’s Principle.</p>
</abstract>

The aim of this paper is to investigate the coupled oscillations of multiple bubbles within a cluster. The interaction between a bubble and the other bubbles in a cluster produces an additional mass. For a fixed number of bubbles and uniformly distributed (N ---gt------gt--- 1), in case of a certain value of the bubbles number density, we deduce the relations analogous to the Eddington relation (between the cluster radius and the bubble radius) and the Sciama relation (between the cluster radius and the gravitoacoustic radius) according to Mach’s Principle.

Mach’s Principle in the Acoustic World

Retired lecturer, Petroleum-Gas University of Ploieşti

BULETINUL INSTITUTULUI POLITEHNIC DIN IAȘI. Secția Matematica. Mecanică Teoretică. Fizică

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

{"article-title":"Mach\u2019s Principle in the Acoustic World"}

The aim of this paper is to investigate the coupled oscillations of multiple bubbles within a cluster. The interaction between a bubble and the other bubbles...

Mach’s Principle in the Acoustic World

Published Online: Apr 30, 2022

Page range: 59 - 69

Received: Nov 01, 2021

Accepted: Nov 22, 2021

DOI: https://doi.org/10.2478/bipmf-2021-0020

Keywords
the acoustic world, bubbles cluster, Mach’s Principle, Large numbers hypothesis

© 2021 Ion Simaciu et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Mach’s Principle in the Acoustic World

Published Online: Apr 30, 2022

Page range: 59 - 69

Received: Nov 01, 2021

Accepted: Nov 22, 2021

DOI: https://doi.org/10.2478/bipmf-2021-0020

Keywordsthe acoustic world, bubbles cluster, Mach’s Principle, Large numbers hypothesis

© 2021 Ion Simaciu et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Keywords
the acoustic world, bubbles cluster, Mach’s Principle, Large numbers hypothesis