Number of Transition Frequencies of a System Containing an Arbitrary Number of Gas Bubbles

Details Number of Transition Frequencies of a System Containing an Arbitrary Number of Gas Bubbles Number of Transition Frequencies of a System Containing an Arbitrary Number of Gas Bubbles

2001-08-28

arxiv.org/abs/physics/0108056v3

J. Phys. Soc. Jpn. 71 (2002) 1214-1217

Physics

Fluid Dynamics

5 pages, Revtex; "Eigenfrequency" replaced with "transition frequency", a numerical example added, and references removed

Scientific paper

10.1143/JPSJ.71.1214

``Transition frequencies'' of a system containing an arbitrary number of bubbles levitated in a liquid are discussed. Using a linear coupled-oscillator model, it is shown theoretically that when the system contains $N$ bubbles of different sizes, each bubble has $2N - 1$ (or less) transition frequencies which make the phase difference between an external sound and a bubble's pulsation $\pi / 2$. Furthermore, we discuss a discrepancy appearing between the present result regarding the transition frequencies and existing ones for the resonance frequencies in a two-bubble case, and show that the transition frequency, defined as above, and the resonance frequency have a different physical meaning when $N \ge 2$, while they are consistent for $N = 1$.

Affiliated with

Also associated with

No associations

Rating

Number of Transition Frequencies of a System Containing an Arbitrary Number of Gas Bubbles does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Number of Transition Frequencies of a System Containing an Arbitrary Number of Gas Bubbles, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Number of Transition Frequencies of a System Containing an Arbitrary Number of Gas Bubbles will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-101912