Theoretical analysis of ultrasonic vibration spectra from multiple particle-plate impacts

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

Research output: Contribution to journalArticle

5 Citations (Scopus)

Abstract

Many industrial processes involve particles in a carrier uid and it is often of interest to noninvasively monitor the size of these particles. The aim of this paper is to develop a theoretical model of multiple particle-wall impact vibrations that can be used to recover the parti- cle size from experimental data. These vibrations have been measured by an ultrasonic transducer attached to the exterior of a vessel con- taining a stirred particle laden uid. A linear systems model is derived for the response of the piezoelectric ultrasonic transducer which has a single matching layer. The acceleration power spectrum of these vibrations has been shown experimentally to contain information on the size of the impacting particle. In particular, the frequency of the main spectral lobe is inversely proportional to the particle size. We present a theoretical model that agrees with this empirically observed phenomenon. The theoretical model is then used to simulate multi- ple particle-wall impacts, with each particle impacting at a randomly chosen location. A set of theoretical vibration spectra arising from multiple particle-wall impacts are integrated and compared to the ex- perimental data. The ability of this approach to distinguish between dierent particle sizes is clearly shown.
LanguageEnglish
Pages1034-1041
Number of pages8
JournalIEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control
Volume56
Issue number5
DOIs
Publication statusPublished - May 2009

Fingerprint

Vibrations (mechanical)
ultrasonics
Ultrasonics
vibration
Ultrasonic transducers
Particle size
Piezoelectric transducers
Power spectrum
Linear systems
transducers
linear systems
lobes
vessels
power spectra

Keywords

  • flow measurement
  • impact
  • particle size measurement
  • piezoelectric transducers
  • ultrasonic effects
  • ultrasonic transducers

Cite this

@article{926b6781373342a794f49abe429934d7,
title = "Theoretical analysis of ultrasonic vibration spectra from multiple particle-plate impacts",
abstract = "Many industrial processes involve particles in a carrier uid and it is often of interest to noninvasively monitor the size of these particles. The aim of this paper is to develop a theoretical model of multiple particle-wall impact vibrations that can be used to recover the parti- cle size from experimental data. These vibrations have been measured by an ultrasonic transducer attached to the exterior of a vessel con- taining a stirred particle laden uid. A linear systems model is derived for the response of the piezoelectric ultrasonic transducer which has a single matching layer. The acceleration power spectrum of these vibrations has been shown experimentally to contain information on the size of the impacting particle. In particular, the frequency of the main spectral lobe is inversely proportional to the particle size. We present a theoretical model that agrees with this empirically observed phenomenon. The theoretical model is then used to simulate multi- ple particle-wall impacts, with each particle impacting at a randomly chosen location. A set of theoretical vibration spectra arising from multiple particle-wall impacts are integrated and compared to the ex- perimental data. The ability of this approach to distinguish between dierent particle sizes is clearly shown.",
keywords = "flow measurement, impact, particle size measurement, piezoelectric transducers, ultrasonic effects, ultrasonic transducers",
author = "G. Carson and A.J. Mulholland and A. Nordon and A. Gachagan and G. Hayward",
year = "2009",
month = "5",
doi = "10.1109/TUFFC.2009.1135",
language = "English",
volume = "56",
pages = "1034--1041",
journal = "IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control",
issn = "0885-3010",
number = "5",

}

TY - JOUR

T1 - Theoretical analysis of ultrasonic vibration spectra from multiple particle-plate impacts

AU - Carson, G.

AU - Mulholland, A.J.

AU - Nordon, A.

AU - Gachagan, A.

AU - Hayward, G.

PY - 2009/5

Y1 - 2009/5

N2 - Many industrial processes involve particles in a carrier uid and it is often of interest to noninvasively monitor the size of these particles. The aim of this paper is to develop a theoretical model of multiple particle-wall impact vibrations that can be used to recover the parti- cle size from experimental data. These vibrations have been measured by an ultrasonic transducer attached to the exterior of a vessel con- taining a stirred particle laden uid. A linear systems model is derived for the response of the piezoelectric ultrasonic transducer which has a single matching layer. The acceleration power spectrum of these vibrations has been shown experimentally to contain information on the size of the impacting particle. In particular, the frequency of the main spectral lobe is inversely proportional to the particle size. We present a theoretical model that agrees with this empirically observed phenomenon. The theoretical model is then used to simulate multi- ple particle-wall impacts, with each particle impacting at a randomly chosen location. A set of theoretical vibration spectra arising from multiple particle-wall impacts are integrated and compared to the ex- perimental data. The ability of this approach to distinguish between dierent particle sizes is clearly shown.

AB - Many industrial processes involve particles in a carrier uid and it is often of interest to noninvasively monitor the size of these particles. The aim of this paper is to develop a theoretical model of multiple particle-wall impact vibrations that can be used to recover the parti- cle size from experimental data. These vibrations have been measured by an ultrasonic transducer attached to the exterior of a vessel con- taining a stirred particle laden uid. A linear systems model is derived for the response of the piezoelectric ultrasonic transducer which has a single matching layer. The acceleration power spectrum of these vibrations has been shown experimentally to contain information on the size of the impacting particle. In particular, the frequency of the main spectral lobe is inversely proportional to the particle size. We present a theoretical model that agrees with this empirically observed phenomenon. The theoretical model is then used to simulate multi- ple particle-wall impacts, with each particle impacting at a randomly chosen location. A set of theoretical vibration spectra arising from multiple particle-wall impacts are integrated and compared to the ex- perimental data. The ability of this approach to distinguish between dierent particle sizes is clearly shown.

KW - flow measurement

KW - impact

KW - particle size measurement

KW - piezoelectric transducers

KW - ultrasonic effects

KW - ultrasonic transducers

UR - http://www.ieee.org

U2 - 10.1109/TUFFC.2009.1135

DO - 10.1109/TUFFC.2009.1135

M3 - Article

VL - 56

SP - 1034

EP - 1041

JO - IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control

T2 - IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control

JF - IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control

SN - 0885-3010

IS - 5

ER -