Giant frequency down-conversion of the dancing acoustic bubble

Research output: Contribution to journalArticle

Abstract

We have demonstrated experimentally the existence of a giant frequency down-conversion of the translational oscillatory motion of individual submillimeter acoustic bubbles in water in the presence of a high frequency (500 kHz) ultrasonic standing wave. The frequency of the translational oscillations (∼170 Hz) is more than three orders of magnitude smaller than that of the driving acoustic wave. We elucidate the mechanism of this very slow oscillation with an analytical model leading to an equation of translational motion of a bubble taking the form of Mathieu's equation. This equation illuminates the origin of the giant down conversion in frequency as arising from an unstable equilibrium. We also show that bubbles that form chains along the direction of the acoustic standing wave due to radiation interaction forces exhibit also translation oscillations that form a spectral band. This band extends approximately from 130 Hz up to nearly 370 Hz, a frequency range that is still at least three orders of magnitude lower than the frequency of the driving acoustic wave.

Original languageEnglish (US)
Article number37385
JournalScientific Reports
Volume6
DOIs
StatePublished - Nov 18 2016

Fingerprint

bubbles
acoustics
standing waves
oscillations
Mathieu function
translational motion
spectral bands
ultrasonics
frequency ranges
radiation
water
interactions

ASJC Scopus subject areas

  • General

Cite this

Giant frequency down-conversion of the dancing acoustic bubble. / Deymier, Pierre A; Keswani, Manish K; Jenkins, N.; Tang, C.; Runge, Keith A.

In: Scientific Reports, Vol. 6, 37385, 18.11.2016.

Research output: Contribution to journalArticle

@article{a73b48ad070044f795ff7cd4e0d7dff2,
title = "Giant frequency down-conversion of the dancing acoustic bubble",
abstract = "We have demonstrated experimentally the existence of a giant frequency down-conversion of the translational oscillatory motion of individual submillimeter acoustic bubbles in water in the presence of a high frequency (500 kHz) ultrasonic standing wave. The frequency of the translational oscillations (∼170 Hz) is more than three orders of magnitude smaller than that of the driving acoustic wave. We elucidate the mechanism of this very slow oscillation with an analytical model leading to an equation of translational motion of a bubble taking the form of Mathieu's equation. This equation illuminates the origin of the giant down conversion in frequency as arising from an unstable equilibrium. We also show that bubbles that form chains along the direction of the acoustic standing wave due to radiation interaction forces exhibit also translation oscillations that form a spectral band. This band extends approximately from 130 Hz up to nearly 370 Hz, a frequency range that is still at least three orders of magnitude lower than the frequency of the driving acoustic wave.",
author = "Deymier, {Pierre A} and Keswani, {Manish K} and N. Jenkins and C. Tang and Runge, {Keith A}",
year = "2016",
month = "11",
day = "18",
doi = "10.1038/srep37385",
language = "English (US)",
volume = "6",
journal = "Scientific Reports",
issn = "2045-2322",
publisher = "Nature Publishing Group",

}

TY - JOUR

T1 - Giant frequency down-conversion of the dancing acoustic bubble

AU - Deymier, Pierre A

AU - Keswani, Manish K

AU - Jenkins, N.

AU - Tang, C.

AU - Runge, Keith A

PY - 2016/11/18

Y1 - 2016/11/18

N2 - We have demonstrated experimentally the existence of a giant frequency down-conversion of the translational oscillatory motion of individual submillimeter acoustic bubbles in water in the presence of a high frequency (500 kHz) ultrasonic standing wave. The frequency of the translational oscillations (∼170 Hz) is more than three orders of magnitude smaller than that of the driving acoustic wave. We elucidate the mechanism of this very slow oscillation with an analytical model leading to an equation of translational motion of a bubble taking the form of Mathieu's equation. This equation illuminates the origin of the giant down conversion in frequency as arising from an unstable equilibrium. We also show that bubbles that form chains along the direction of the acoustic standing wave due to radiation interaction forces exhibit also translation oscillations that form a spectral band. This band extends approximately from 130 Hz up to nearly 370 Hz, a frequency range that is still at least three orders of magnitude lower than the frequency of the driving acoustic wave.

AB - We have demonstrated experimentally the existence of a giant frequency down-conversion of the translational oscillatory motion of individual submillimeter acoustic bubbles in water in the presence of a high frequency (500 kHz) ultrasonic standing wave. The frequency of the translational oscillations (∼170 Hz) is more than three orders of magnitude smaller than that of the driving acoustic wave. We elucidate the mechanism of this very slow oscillation with an analytical model leading to an equation of translational motion of a bubble taking the form of Mathieu's equation. This equation illuminates the origin of the giant down conversion in frequency as arising from an unstable equilibrium. We also show that bubbles that form chains along the direction of the acoustic standing wave due to radiation interaction forces exhibit also translation oscillations that form a spectral band. This band extends approximately from 130 Hz up to nearly 370 Hz, a frequency range that is still at least three orders of magnitude lower than the frequency of the driving acoustic wave.

UR - http://www.scopus.com/inward/record.url?scp=84995933321&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84995933321&partnerID=8YFLogxK

U2 - 10.1038/srep37385

DO - 10.1038/srep37385

M3 - Article

AN - SCOPUS:84995933321

VL - 6

JO - Scientific Reports

JF - Scientific Reports

SN - 2045-2322

M1 - 37385

ER -