P1H-2 particle sizing in the process industry using Hertz-Zener impact theory and acoustic emission spectra

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

Research output: Chapter in Book/Report/Conference proceedingConference contribution book

6 Citations (Scopus)

Abstract

The cost of implementing real-time monitoring and control of industrial processes is a significant barrier for many companies. Acoustic techniques provide complementary information to optical spectroscopic sensors and have a number of advantages: they are relatively inexpensive, can be applied non-invasively, are non-destructive, multi-point measurements are possible, opaque samples can be analysed in containers that are made from opaque materials (e.g. steel or concrete) and the analysis can be conducted in real-time. In this paper a new theoretical model is proposed which describes the transport of particles in a stirred reactor, their collision with the reactor walls, the subsequent vibrations which are then transmitted through the vessel walls, and their detection by an ultrasonic transducer. The particle-wall impact is modelled using Hertz-Zener impact theory. Experimental data is then used in conjunction with this (forward) model to form an inverse problem for the particle size distribution using a least squares cost function. Application of an integral smoothing operator to the power spectra greatly enhances the accuracy and robustness of the approach. One advantage of this new approach is that since it operates in the frequency domain, it can cope with the industrially relevant case of many particle-wall collisions. The technique will be illustrated using data from a set of controlled experiments. In the first instance a set of simplified experiments involving single particles being dropped in air onto a substrate are utilised. The second set of experiments involves particles in a carrier fluid being stirred in a reactor vessel. In each case the approach is able to successfully recover the associated particle size.
LanguageEnglish
Title of host publicationIEEE Ultrasonics Symposium, 2006.
PublisherIEEE
Pages1406-1409
Number of pages3
ISBN (Print)1424402018
DOIs
Publication statusPublished - 2006
Event2000 IEEE International Ultrasonics Symposium - Caribe Hilton, San Juan, Puerto Rico
Duration: 22 Oct 200025 Oct 2000

Conference

Conference2000 IEEE International Ultrasonics Symposium
CountryPuerto Rico
CitySan Juan
Period22/10/0025/10/00

Fingerprint

sizing
acoustic emission
emission spectra
industries
reactors
vessels
costs
collisions
containers
particle size distribution
smoothing
power spectra
transducers
ultrasonics
steels
operators
vibration
acoustics
fluids
sensors

Keywords

  • process industry
  • hertz-zener impact theory
  • acoustic emission spectra

Cite this

Carson, G. ; Mulholland, A.J. ; Tramontana, M. ; Nordon, A. ; Hayward, G. / P1H-2 particle sizing in the process industry using Hertz-Zener impact theory and acoustic emission spectra. IEEE Ultrasonics Symposium, 2006. . IEEE, 2006. pp. 1406-1409
@inproceedings{20703ce9adf94e318d65165c014777b6,
title = "P1H-2 particle sizing in the process industry using Hertz-Zener impact theory and acoustic emission spectra",
abstract = "The cost of implementing real-time monitoring and control of industrial processes is a significant barrier for many companies. Acoustic techniques provide complementary information to optical spectroscopic sensors and have a number of advantages: they are relatively inexpensive, can be applied non-invasively, are non-destructive, multi-point measurements are possible, opaque samples can be analysed in containers that are made from opaque materials (e.g. steel or concrete) and the analysis can be conducted in real-time. In this paper a new theoretical model is proposed which describes the transport of particles in a stirred reactor, their collision with the reactor walls, the subsequent vibrations which are then transmitted through the vessel walls, and their detection by an ultrasonic transducer. The particle-wall impact is modelled using Hertz-Zener impact theory. Experimental data is then used in conjunction with this (forward) model to form an inverse problem for the particle size distribution using a least squares cost function. Application of an integral smoothing operator to the power spectra greatly enhances the accuracy and robustness of the approach. One advantage of this new approach is that since it operates in the frequency domain, it can cope with the industrially relevant case of many particle-wall collisions. The technique will be illustrated using data from a set of controlled experiments. In the first instance a set of simplified experiments involving single particles being dropped in air onto a substrate are utilised. The second set of experiments involves particles in a carrier fluid being stirred in a reactor vessel. In each case the approach is able to successfully recover the associated particle size.",
keywords = "process industry, hertz-zener impact theory, acoustic emission spectra",
author = "G. Carson and A.J. Mulholland and M. Tramontana and A. Nordon and G. Hayward",
year = "2006",
doi = "10.1109/ULTSYM.2006.360",
language = "English",
isbn = "1424402018",
pages = "1406--1409",
booktitle = "IEEE Ultrasonics Symposium, 2006.",
publisher = "IEEE",

}

Carson, G, Mulholland, AJ, Tramontana, M, Nordon, A & Hayward, G 2006, P1H-2 particle sizing in the process industry using Hertz-Zener impact theory and acoustic emission spectra. in IEEE Ultrasonics Symposium, 2006. . IEEE, pp. 1406-1409, 2000 IEEE International Ultrasonics Symposium, San Juan, Puerto Rico, 22/10/00. https://doi.org/10.1109/ULTSYM.2006.360

P1H-2 particle sizing in the process industry using Hertz-Zener impact theory and acoustic emission spectra. / Carson, G.; Mulholland, A.J.; Tramontana, M.; Nordon, A.; Hayward, G.

IEEE Ultrasonics Symposium, 2006. . IEEE, 2006. p. 1406-1409.

Research output: Chapter in Book/Report/Conference proceedingConference contribution book

TY - GEN

T1 - P1H-2 particle sizing in the process industry using Hertz-Zener impact theory and acoustic emission spectra

AU - Carson, G.

AU - Mulholland, A.J.

AU - Tramontana, M.

AU - Nordon, A.

AU - Hayward, G.

PY - 2006

Y1 - 2006

N2 - The cost of implementing real-time monitoring and control of industrial processes is a significant barrier for many companies. Acoustic techniques provide complementary information to optical spectroscopic sensors and have a number of advantages: they are relatively inexpensive, can be applied non-invasively, are non-destructive, multi-point measurements are possible, opaque samples can be analysed in containers that are made from opaque materials (e.g. steel or concrete) and the analysis can be conducted in real-time. In this paper a new theoretical model is proposed which describes the transport of particles in a stirred reactor, their collision with the reactor walls, the subsequent vibrations which are then transmitted through the vessel walls, and their detection by an ultrasonic transducer. The particle-wall impact is modelled using Hertz-Zener impact theory. Experimental data is then used in conjunction with this (forward) model to form an inverse problem for the particle size distribution using a least squares cost function. Application of an integral smoothing operator to the power spectra greatly enhances the accuracy and robustness of the approach. One advantage of this new approach is that since it operates in the frequency domain, it can cope with the industrially relevant case of many particle-wall collisions. The technique will be illustrated using data from a set of controlled experiments. In the first instance a set of simplified experiments involving single particles being dropped in air onto a substrate are utilised. The second set of experiments involves particles in a carrier fluid being stirred in a reactor vessel. In each case the approach is able to successfully recover the associated particle size.

AB - The cost of implementing real-time monitoring and control of industrial processes is a significant barrier for many companies. Acoustic techniques provide complementary information to optical spectroscopic sensors and have a number of advantages: they are relatively inexpensive, can be applied non-invasively, are non-destructive, multi-point measurements are possible, opaque samples can be analysed in containers that are made from opaque materials (e.g. steel or concrete) and the analysis can be conducted in real-time. In this paper a new theoretical model is proposed which describes the transport of particles in a stirred reactor, their collision with the reactor walls, the subsequent vibrations which are then transmitted through the vessel walls, and their detection by an ultrasonic transducer. The particle-wall impact is modelled using Hertz-Zener impact theory. Experimental data is then used in conjunction with this (forward) model to form an inverse problem for the particle size distribution using a least squares cost function. Application of an integral smoothing operator to the power spectra greatly enhances the accuracy and robustness of the approach. One advantage of this new approach is that since it operates in the frequency domain, it can cope with the industrially relevant case of many particle-wall collisions. The technique will be illustrated using data from a set of controlled experiments. In the first instance a set of simplified experiments involving single particles being dropped in air onto a substrate are utilised. The second set of experiments involves particles in a carrier fluid being stirred in a reactor vessel. In each case the approach is able to successfully recover the associated particle size.

KW - process industry

KW - hertz-zener impact theory

KW - acoustic emission spectra

U2 - 10.1109/ULTSYM.2006.360

DO - 10.1109/ULTSYM.2006.360

M3 - Conference contribution book

SN - 1424402018

SP - 1406

EP - 1409

BT - IEEE Ultrasonics Symposium, 2006.

PB - IEEE

ER -