Analysis of the Rayleigh-Plesset equation with chirp excitation

Research output: Contribution to journalArticle

6 Citations (Scopus)

Abstract

The case of a bubble being insonified by an ultrasonic excitation in the form of a linear chirp is considered here. The dynamical equation of the bubble's motion is solved analytically and compared to a numerical solution. The analytical solution is then used to investigate the problem of maximizing the amplitude of the second harmonic with respect to the various system and signal parameters.
Original languageEnglish
Pages (from-to)20-34
Number of pages14
JournalIMA Journal of Applied Mathematics
Volume74
Issue number1
DOIs
Publication statusPublished - Feb 2009

Fingerprint

Rayleigh Equation
Chirp
Bubble
Excitation
Ultrasonics
Analytical Solution
Harmonic
Numerical Solution
Motion
Form

Keywords

  • chirp
  • rayleigh–plesset
  • bubble

Cite this

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title = "Analysis of the Rayleigh-Plesset equation with chirp excitation",
abstract = "The case of a bubble being insonified by an ultrasonic excitation in the form of a linear chirp is considered here. The dynamical equation of the bubble's motion is solved analytically and compared to a numerical solution. The analytical solution is then used to investigate the problem of maximizing the amplitude of the second harmonic with respect to the various system and signal parameters.",
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author = "Euan Barlow and A.J. Mulholland and A. Gachagan and A. Nordon and MacPherson, {Kenneth G.}",
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Analysis of the Rayleigh-Plesset equation with chirp excitation. / Barlow, Euan; Mulholland, A.J.; Gachagan, A.; Nordon, A.; MacPherson, Kenneth G.

In: IMA Journal of Applied Mathematics, Vol. 74, No. 1, 02.2009, p. 20-34.

Research output: Contribution to journalArticle

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T1 - Analysis of the Rayleigh-Plesset equation with chirp excitation

AU - Barlow, Euan

AU - Mulholland, A.J.

AU - Gachagan, A.

AU - Nordon, A.

AU - MacPherson, Kenneth G.

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AB - The case of a bubble being insonified by an ultrasonic excitation in the form of a linear chirp is considered here. The dynamical equation of the bubble's motion is solved analytically and compared to a numerical solution. The analytical solution is then used to investigate the problem of maximizing the amplitude of the second harmonic with respect to the various system and signal parameters.

KW - chirp

KW - rayleigh–plesset

KW - bubble

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JF - IMA Journal of Applied Mathematics

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