P1H-2 particle sizing in the process industry using Hertz-Zener impact theory and acoustic emission spectra
Gachagan, A. and Mulholland, A. J. and Hayward, G. and Tramontana, M. and Nordon, A. and Carson, G.; (2007) P1H-2 particle sizing in the process industry using Hertz-Zener impact theory and acoustic emission spectra. In: IEEE Ultrasonics Symposium, 2006. IEEE, CAN, pp. 1406-1409. ISBN 1424402018 (https://doi.org/10.1109/ULTSYM.2006.360)
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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.
ORCID iDs
Gachagan, A. ORCID: https://orcid.org/0000-0002-9728-4120, Mulholland, A. J. ORCID: https://orcid.org/0000-0002-3626-4556, Hayward, G., Tramontana, M., Nordon, A. ORCID: https://orcid.org/0000-0001-6553-8993 and Carson, G.;-
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Item type: Book Section ID code: 40951 Dates: DateEvent16 April 2007Published11 May 2006AcceptedNotes: © 2021 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting /republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works. Subjects: Science > Mathematics Department: Faculty of Engineering > Electronic and Electrical Engineering
Faculty of Science > Mathematics and Statistics
Faculty of Science > Pure and Applied Chemistry
Faculty of Science > Mathematics and Statistics > MathematicsDepositing user: Pure Administrator Date deposited: 22 Aug 2012 14:06 Last modified: 19 Sep 2024 00:28 URI: https://strathprints.strath.ac.uk/id/eprint/40951