Estimating particle concentration using passive ultrasonic measurement of impact vibrations

G. Carson, A.J. Mulholland, A. Nordon, M. Tramontana, A. Gachagan, G. Hayward

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Abstract

A method of obtaining particle size and concentration information, from ultrasonic transducer measurements of particle-wall interactions in a particle laden fluid, is presented. A mathematical model of the flexural vibrations of the vessel wall due to the particle impact is constructed. The key component of this model is the derivation of an analytic expression for the impact force amplitude. An analytic expression for the power spectrum is then obtained that shows its explicit dependency on the system parameters. This spectrum is then integrated over a specific frequency range and a comparison with experimental results is reported.
Original languageEnglish
Pages (from-to)345-352
Number of pages8
JournalIEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control
Volume56
Issue number2
DOIs
Publication statusPublished - Feb 2009

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Ultrasonic measurement
Ultrasonic transducers
Power spectrum
estimating
ultrasonics
Particle size
Mathematical models
vibration
Fluids
vessels
power spectra
mathematical models
transducers
derivation
frequency ranges
fluids
interactions

Keywords

  • ultrasonic transducers
  • ultrasonic measurement
  • vibration measurement

Cite this

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abstract = "A method of obtaining particle size and concentration information, from ultrasonic transducer measurements of particle-wall interactions in a particle laden fluid, is presented. A mathematical model of the flexural vibrations of the vessel wall due to the particle impact is constructed. The key component of this model is the derivation of an analytic expression for the impact force amplitude. An analytic expression for the power spectrum is then obtained that shows its explicit dependency on the system parameters. This spectrum is then integrated over a specific frequency range and a comparison with experimental results is reported.",
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AU - Mulholland, A.J.

AU - Nordon, A.

AU - Tramontana, M.

AU - Gachagan, A.

AU - Hayward, G.

PY - 2009/2

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AB - A method of obtaining particle size and concentration information, from ultrasonic transducer measurements of particle-wall interactions in a particle laden fluid, is presented. A mathematical model of the flexural vibrations of the vessel wall due to the particle impact is constructed. The key component of this model is the derivation of an analytic expression for the impact force amplitude. An analytic expression for the power spectrum is then obtained that shows its explicit dependency on the system parameters. This spectrum is then integrated over a specific frequency range and a comparison with experimental results is reported.

KW - ultrasonic transducers

KW - ultrasonic measurement

KW - vibration measurement

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M3 - Article

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