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Dynamic viscosity of colloidal silica suspensions at low and high volume fractions

Siamak Samavat, Félix Carrique, Emilio Ruiz-Reina, Waye Zhang Orcid Logo, Paul Williams Orcid Logo

Journal of Colloid and Interface Science, Volume: 537, Pages: 640 - 651

Swansea University Authors: Waye Zhang Orcid Logo, Paul Williams Orcid Logo

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DOI (Published version): 10.1016/j.jcis.2018.11.063

Abstract

A comprehensive study was carried out on the dynamic viscosity of X30 silica dispersions at both high and low volume fractions of colloidal silica particles at various electrolyte ionic strength and pH values. Booth and Ruiz-Reina and Carrique theoretical models (R-R&C) were compared in predicti...

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Published in: Journal of Colloid and Interface Science
ISSN: 00219797
Published: 2019
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URI: https://cronfa.swan.ac.uk/Record/cronfa46053
first_indexed 2018-11-22T20:19:29Z
last_indexed 2019-08-21T15:20:18Z
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Booth and Ruiz-Reina and Carrique theoretical models (R-R&amp;C) were compared in predicting the primary electroviscous effect (PEE) for viscosity at low volume fractions. To this respect the colloidal dispersion was well characterised with regards to electrolyte properties such as the Debye length, &#x3BA;-1, calculated from the ionic strength, and zeta potential, &#x3B6;, calculated from the electrophoretic mobility using the full numerical model by O&#x2019;Brien and White (O&#x2019;B&amp;W). R-R&amp;C hard sphere model (which is a modified version of Simha hard sphere model that includes a boundary condition by Happel on the outer radius of the cell) and the semi-empirical Krieger-Dougherty (K-D) models were fitted to the experimental data at high volume fractions. At both low and high volume fractions the viscosity increased with pH and decreased with ionic strength. At low volume fractions both theoretical models significantly underestimated the experimental dynamic viscosities obtained in this work. This could be attributed to the fuzzy structures for silica particles in aqueous conditions reported previously in the literature, where a significantly larger electroviscous parameter, p, was obtained experimentally for silica particles. The experimental electroviscous parameter, pexp, in this work was found to be roughly an order of magnitude up to 26 times larger than that predicted by Booth and around 5&#xB1;1 times larger than the predicted p by R-R&amp;C model allowing the introduction of a correction factor in the PEE coefficient obtained from R-R&amp;C model enabling good prediction for X30 silica dispersions by the latter model. The significant improvement of the electroviscous effect predictions by R-R&amp;C model compared to Booth model may be attributed to the limitations invalidating the Booth model at the electrolyte conditions in this study. At high volume fractions, the R-R&amp;C hard sphere cell model, gave a much better fit to the experimental data compared to the K-D model, which also had the advantage of being only dependent on a coefficient that linearly relates an effective volume fraction postulated for the fuzzy silica particles to the experimental. The K-D model however, depends on the intrinsic viscosity, [&#x3B7;], which requires the calculation of the experimental slope of the dynamic viscosity against volume fraction in the dilute limit, and also on a maximum packing fraction as a fitting parameter. Due to the effect of the fuzzy structures on the viscosity, the latter effective volume fraction &#x3D5;eff was calculated using two approaches: i) as a fitting parameter by fitting the R-R&amp;C hard sphere model to the experimental viscosity data over the entire volume fraction range, and ii) by fitting only the linear part of the experimental viscosity at low volume fractions, It is concluded that the R-R&amp;C hard sphere model with the effective volume fraction accounting for the fuzzy structures fits reasonably well the full range of experimental results at low and high volume fractions. 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spelling 2019-08-21T11:06:00.8903088 v2 46053 2018-11-22 Dynamic viscosity of colloidal silica suspensions at low and high volume fractions 3ddabbb54b2cfa2ea10f590ea7da6520 0000-0003-3129-2918 Waye Zhang Waye Zhang true false 3ed8f1e5d997e0fcb256fb6501605cec 0000-0003-0511-4659 Paul Williams Paul Williams true false 2018-11-22 EAAS A comprehensive study was carried out on the dynamic viscosity of X30 silica dispersions at both high and low volume fractions of colloidal silica particles at various electrolyte ionic strength and pH values. Booth and Ruiz-Reina and Carrique theoretical models (R-R&C) were compared in predicting the primary electroviscous effect (PEE) for viscosity at low volume fractions. To this respect the colloidal dispersion was well characterised with regards to electrolyte properties such as the Debye length, κ-1, calculated from the ionic strength, and zeta potential, ζ, calculated from the electrophoretic mobility using the full numerical model by O’Brien and White (O’B&W). R-R&C hard sphere model (which is a modified version of Simha hard sphere model that includes a boundary condition by Happel on the outer radius of the cell) and the semi-empirical Krieger-Dougherty (K-D) models were fitted to the experimental data at high volume fractions. At both low and high volume fractions the viscosity increased with pH and decreased with ionic strength. At low volume fractions both theoretical models significantly underestimated the experimental dynamic viscosities obtained in this work. This could be attributed to the fuzzy structures for silica particles in aqueous conditions reported previously in the literature, where a significantly larger electroviscous parameter, p, was obtained experimentally for silica particles. The experimental electroviscous parameter, pexp, in this work was found to be roughly an order of magnitude up to 26 times larger than that predicted by Booth and around 5±1 times larger than the predicted p by R-R&C model allowing the introduction of a correction factor in the PEE coefficient obtained from R-R&C model enabling good prediction for X30 silica dispersions by the latter model. The significant improvement of the electroviscous effect predictions by R-R&C model compared to Booth model may be attributed to the limitations invalidating the Booth model at the electrolyte conditions in this study. At high volume fractions, the R-R&C hard sphere cell model, gave a much better fit to the experimental data compared to the K-D model, which also had the advantage of being only dependent on a coefficient that linearly relates an effective volume fraction postulated for the fuzzy silica particles to the experimental. The K-D model however, depends on the intrinsic viscosity, [η], which requires the calculation of the experimental slope of the dynamic viscosity against volume fraction in the dilute limit, and also on a maximum packing fraction as a fitting parameter. Due to the effect of the fuzzy structures on the viscosity, the latter effective volume fraction ϕeff was calculated using two approaches: i) as a fitting parameter by fitting the R-R&C hard sphere model to the experimental viscosity data over the entire volume fraction range, and ii) by fitting only the linear part of the experimental viscosity at low volume fractions, It is concluded that the R-R&C hard sphere model with the effective volume fraction accounting for the fuzzy structures fits reasonably well the full range of experimental results at low and high volume fractions. When the model is used with the Adamczyk effective volume fraction (i.e, considering only the dilute region in the fitting procedure), the predictions get worse at high volume fractions where huge deviations from the experimental results are found upon the increase of pH. Journal Article Journal of Colloid and Interface Science 537 640 651 00219797 dynamic viscosity, silica dispersion, primary electroviscous effect (PEE), cell model, core shell model 1 3 2019 2019-03-01 10.1016/j.jcis.2018.11.063 COLLEGE NANME Engineering and Applied Sciences School COLLEGE CODE EAAS Swansea University 2019-08-21T11:06:00.8903088 2018-11-22T14:20:40.3949890 Faculty of Science and Engineering School of Engineering and Applied Sciences - Chemical Engineering Siamak Samavat 1 Félix Carrique 2 Emilio Ruiz-Reina 3 Waye Zhang 0000-0003-3129-2918 4 Paul Williams 0000-0003-0511-4659 5 0046053-22112018142341.pdf samavat2018(2).pdf 2018-11-22T14:23:41.5470000 Output 11735418 application/pdf Accepted Manuscript true 2019-11-17T00:00:00.0000000 true eng
title Dynamic viscosity of colloidal silica suspensions at low and high volume fractions
spellingShingle Dynamic viscosity of colloidal silica suspensions at low and high volume fractions
Waye Zhang
Paul Williams
title_short Dynamic viscosity of colloidal silica suspensions at low and high volume fractions
title_full Dynamic viscosity of colloidal silica suspensions at low and high volume fractions
title_fullStr Dynamic viscosity of colloidal silica suspensions at low and high volume fractions
title_full_unstemmed Dynamic viscosity of colloidal silica suspensions at low and high volume fractions
title_sort Dynamic viscosity of colloidal silica suspensions at low and high volume fractions
author_id_str_mv 3ddabbb54b2cfa2ea10f590ea7da6520
3ed8f1e5d997e0fcb256fb6501605cec
author_id_fullname_str_mv 3ddabbb54b2cfa2ea10f590ea7da6520_***_Waye Zhang
3ed8f1e5d997e0fcb256fb6501605cec_***_Paul Williams
author Waye Zhang
Paul Williams
author2 Siamak Samavat
Félix Carrique
Emilio Ruiz-Reina
Waye Zhang
Paul Williams
format Journal article
container_title Journal of Colloid and Interface Science
container_volume 537
container_start_page 640
publishDate 2019
institution Swansea University
issn 00219797
doi_str_mv 10.1016/j.jcis.2018.11.063
college_str Faculty of Science and Engineering
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hierarchy_top_id facultyofscienceandengineering
hierarchy_top_title Faculty of Science and Engineering
hierarchy_parent_id facultyofscienceandengineering
hierarchy_parent_title Faculty of Science and Engineering
department_str School of Engineering and Applied Sciences - Chemical Engineering{{{_:::_}}}Faculty of Science and Engineering{{{_:::_}}}School of Engineering and Applied Sciences - Chemical Engineering
document_store_str 1
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description A comprehensive study was carried out on the dynamic viscosity of X30 silica dispersions at both high and low volume fractions of colloidal silica particles at various electrolyte ionic strength and pH values. Booth and Ruiz-Reina and Carrique theoretical models (R-R&C) were compared in predicting the primary electroviscous effect (PEE) for viscosity at low volume fractions. To this respect the colloidal dispersion was well characterised with regards to electrolyte properties such as the Debye length, κ-1, calculated from the ionic strength, and zeta potential, ζ, calculated from the electrophoretic mobility using the full numerical model by O’Brien and White (O’B&W). R-R&C hard sphere model (which is a modified version of Simha hard sphere model that includes a boundary condition by Happel on the outer radius of the cell) and the semi-empirical Krieger-Dougherty (K-D) models were fitted to the experimental data at high volume fractions. At both low and high volume fractions the viscosity increased with pH and decreased with ionic strength. At low volume fractions both theoretical models significantly underestimated the experimental dynamic viscosities obtained in this work. This could be attributed to the fuzzy structures for silica particles in aqueous conditions reported previously in the literature, where a significantly larger electroviscous parameter, p, was obtained experimentally for silica particles. The experimental electroviscous parameter, pexp, in this work was found to be roughly an order of magnitude up to 26 times larger than that predicted by Booth and around 5±1 times larger than the predicted p by R-R&C model allowing the introduction of a correction factor in the PEE coefficient obtained from R-R&C model enabling good prediction for X30 silica dispersions by the latter model. The significant improvement of the electroviscous effect predictions by R-R&C model compared to Booth model may be attributed to the limitations invalidating the Booth model at the electrolyte conditions in this study. At high volume fractions, the R-R&C hard sphere cell model, gave a much better fit to the experimental data compared to the K-D model, which also had the advantage of being only dependent on a coefficient that linearly relates an effective volume fraction postulated for the fuzzy silica particles to the experimental. The K-D model however, depends on the intrinsic viscosity, [η], which requires the calculation of the experimental slope of the dynamic viscosity against volume fraction in the dilute limit, and also on a maximum packing fraction as a fitting parameter. Due to the effect of the fuzzy structures on the viscosity, the latter effective volume fraction ϕeff was calculated using two approaches: i) as a fitting parameter by fitting the R-R&C hard sphere model to the experimental viscosity data over the entire volume fraction range, and ii) by fitting only the linear part of the experimental viscosity at low volume fractions, It is concluded that the R-R&C hard sphere model with the effective volume fraction accounting for the fuzzy structures fits reasonably well the full range of experimental results at low and high volume fractions. When the model is used with the Adamczyk effective volume fraction (i.e, considering only the dilute region in the fitting procedure), the predictions get worse at high volume fractions where huge deviations from the experimental results are found upon the increase of pH.
published_date 2019-03-01T19:36:52Z
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score 11.04748

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