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2021•Buletinul Institutului Politehnic din Iaşi. Secţia, Matematică. Mecanică teoretică. FizicăOpen access

Mach’s Principle in the Acoustic World

Ion Simaciu, Gheorghe Dumitrescu, Zoltan Borsos, Anca Baciu

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Abstract

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.

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What this paper is about

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.

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Available abstract

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.

Key concepts: RADIUS, Mach number, Bubble, Cluster (spacecraft), Physics, Critical radius, Relation (database), Mechanics

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