Optimisation of a Lead Sulphate Settling Process

Vincent Cregan, William T. Lee

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

Abstract

A model for the growth of lead sulphate particles in a gravity separation system from the crystal glassware industry is presented. The lead sulphate particles are an undesirable byproduct, and thus the model is used to ascertain the optimal system temperature configuration such that particle extraction is maximised. The model describes the evolution of a single, spherical particle due to the mass flux of lead particles from a surrounding acid solution. We divide the concentration field into two separate regions. Specifically, a relatively small boundary layer region around the particle is characterised by fast diffusion, and is thus considered quasi-static. In contrast, diffusion in the far-field is slower, and hence assumed to be time-dependent. The final system consisting of two nonlinear, coupled ordinary differential equations for the particle radius and lead concentration, is integrated numerically.

Original languageEnglish
Title of host publicationExtended Abstracts Summer 2016
Subtitle of host publicationSlow-Fast Systems and Hysteresis: Theory and Applications
EditorsAndrei Korobeinikov
PublisherBirkhauser Verlag Basel
Chapter1
Pages1-6
Number of pages6
Edition1st
ISBN (Electronic)9783030011536
ISBN (Print)9783030011529
DOIs
Publication statusPublished - 28 Nov 2018
Event8th International Workshop on MUlti-Rate Processes and HYSteresis and 3rd International Workshop on Hysteresis and Slow-Fast Systems: Workshop on Slow-Fast Systems with Hysteresis - Centre de Recerca Matemàtica, Barcelona, Spain
Duration: 13 Jun 201617 Jun 2016
Conference number: 8 & 3
http://www.crm.cat/en/Activities/Curs_2015-2016/Pages/MURPHYS.aspx
http://www.crm.cat/en/Activities/Curs_2015-2016/Documents/P%C3%B2ster%204.pdf (Link to Conference Poster)

Publication series

NameTrends in Mathematics
Volume10
ISSN (Print)2297-0215
ISSN (Electronic)2297-024X

Conference

Conference8th International Workshop on MUlti-Rate Processes and HYSteresis and 3rd International Workshop on Hysteresis and Slow-Fast Systems
Abbreviated titleMURPHYS-HSFS 2016
CountrySpain
CityBarcelona
Period13/06/1617/06/16
Internet address

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  • Cite this

    Cregan, V., & Lee, W. T. (2018). Optimisation of a Lead Sulphate Settling Process. In A. Korobeinikov (Ed.), Extended Abstracts Summer 2016: Slow-Fast Systems and Hysteresis: Theory and Applications (1st ed., pp. 1-6). (Trends in Mathematics; Vol. 10). Birkhauser Verlag Basel. https://doi.org/10.1007/978-3-030-01153-6_1