On the effect of turbulent fluctuations on precipitation: A direct numerical simulation – population balance study
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Author(s)
Tang, Hin Yan
Rigopoulos, Stelios
Papadakis, George
Type
Journal Article
Abstract
The objective of the present paper is to investigate the effect of turbulent fluctuations on precipitation
and the implications for modelling. To this end, a coupled direct numerical simulation (DNS) - population
balance study is conducted on the experiments of Schwarzer et al. (2006) on BaSO4 precipitation in a Tmixer. The unclosed terms in the averaged population balance equation are identified and evaluated via
DNS. A comparison of the average nucleation and growth rates with those computed with the average
values shows significant deviations indicative of the importance of fluctuations in precipitation modelling. Furthermore, the correlation between growth and number density is analysed, as well as its contribution to the reactant consumption. The study is performed at Sc ¼ 1 as it is, at present, not possible to
resolve the sub-Kolmogorov scales at high Reynolds and Schmidt numbers. However, an attempt to
investigate the effect of sub-Kolmogorov scales is made by performing a simulation of precipitation in
a similar T-mixer at a lower (but still turbulent) Reynolds number and at Sc ¼ 1 and Sc ¼ 10. The findings
indicate the presence of thinner reaction zones at higher Sc, but the effect on the product particle size
distribution is marginal. An analysis of the results indicates that this is due to a compensation of the
effect of thinner reaction zones by higher reaction rates occurring therein
and the implications for modelling. To this end, a coupled direct numerical simulation (DNS) - population
balance study is conducted on the experiments of Schwarzer et al. (2006) on BaSO4 precipitation in a Tmixer. The unclosed terms in the averaged population balance equation are identified and evaluated via
DNS. A comparison of the average nucleation and growth rates with those computed with the average
values shows significant deviations indicative of the importance of fluctuations in precipitation modelling. Furthermore, the correlation between growth and number density is analysed, as well as its contribution to the reactant consumption. The study is performed at Sc ¼ 1 as it is, at present, not possible to
resolve the sub-Kolmogorov scales at high Reynolds and Schmidt numbers. However, an attempt to
investigate the effect of sub-Kolmogorov scales is made by performing a simulation of precipitation in
a similar T-mixer at a lower (but still turbulent) Reynolds number and at Sc ¼ 1 and Sc ¼ 10. The findings
indicate the presence of thinner reaction zones at higher Sc, but the effect on the product particle size
distribution is marginal. An analysis of the results indicates that this is due to a compensation of the
effect of thinner reaction zones by higher reaction rates occurring therein
Date Issued
2023-04
Date Acceptance
2023-01-20
Citation
Chemical Engineering Science, 2023, 270, pp.1-20
ISSN
0009-2509
Publisher
Elsevier BV
Start Page
1
End Page
20
Journal / Book Title
Chemical Engineering Science
Volume
270
Copyright Statement
© 2023 The Author(s). Published by Elsevier Ltd. This is an open access article under the CC BY license
(http://creativecommons.org/licenses/by/4.0/).
(http://creativecommons.org/licenses/by/4.0/).
License URL
Identifier
http://dx.doi.org/10.1016/j.ces.2023.118511
Publication Status
Published
Article Number
118511
Date Publish Online
2023-01-25