The size and distribution of particles suspended within a fluid influence the rheology of the suspension, as well as strength and other mechanical properties if the fluid eventually solidifies. An important motivating example of current interest is foamed cements used for carbon storage and oil and gas wellbore completion. In these applications, it is desired that the suspended particles maintain dispersion during flow and do not coalesce or cluster. This paper compares the role of mono- against polydispersity in the particle clustering process. The propensity of hard spherical particles in a suspension to transition from a random configuration to an ordered configuration, or to form localized structures of particles, due to flow is investigated by comparing simulations of monodisperse and polydisperse suspensions using Stokesian dynamics. The calculations examine the role of the polydispersity on particles rearrangements and structuring of particles due to flow and the effects of the particle size distribution on the suspension viscosity. A key finding of this work is that a small level of polydispersity in the particle sizes helps to reduce localized structuring of the particles in the suspension. A suspension of monodisperse hard spheres forms structures at a particle volume fraction of approximately under shear, but a volume fraction of polydisperse particles in suspension does not form these structures.
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626 Cochrans Mill Road, P.O. Box 10940,
Pittsburgh, PA 15236
e-mail: eilis.rosenbaum@netl.doe.gov
626 Cochrans Mill Road, P.O. Box 10940,
Pittsburgh, PA 15236
e-mail: mehrdad.massoudi@netl.doe.gov
Department for Mathematical Sciences;
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August 2019
Research-Article
Effects of Polydispersity on Structuring and Rheology in Flowing Suspensions
Eilis Rosenbaum,
626 Cochrans Mill Road, P.O. Box 10940,
Pittsburgh, PA 15236
e-mail: eilis.rosenbaum@netl.doe.gov
Eilis Rosenbaum
1
Department of Civil and Environmental Engineering,
Pittsburgh, PA 15213;
Carnegie Mellon University
,Pittsburgh, PA 15213;
National Energy Technology Laboratory
,626 Cochrans Mill Road, P.O. Box 10940,
Pittsburgh, PA 15236
e-mail: eilis.rosenbaum@netl.doe.gov
1Corresponding author.
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Mehrdad Massoudi,
626 Cochrans Mill Road, P.O. Box 10940,
Pittsburgh, PA 15236
e-mail: mehrdad.massoudi@netl.doe.gov
Mehrdad Massoudi
National Energy Technology Laboratory
,626 Cochrans Mill Road, P.O. Box 10940,
Pittsburgh, PA 15236
e-mail: mehrdad.massoudi@netl.doe.gov
Search for other works by this author on:
Kaushik Dayal
Department for Mathematical Sciences;
Kaushik Dayal
Department of Civil and Environmental Engineering;
Center for Nonlinear Analysis
,Department for Mathematical Sciences;
Department of Materials Science and Engineering,
Pittsburgh, PA 15213
e-mail: kaushik.dayal@cmu.edu
Carnegie Mellon University
,Pittsburgh, PA 15213
e-mail: kaushik.dayal@cmu.edu
Search for other works by this author on:
Eilis Rosenbaum
Department of Civil and Environmental Engineering,
Pittsburgh, PA 15213;
Carnegie Mellon University
,Pittsburgh, PA 15213;
National Energy Technology Laboratory
,626 Cochrans Mill Road, P.O. Box 10940,
Pittsburgh, PA 15236
e-mail: eilis.rosenbaum@netl.doe.gov
Mehrdad Massoudi
National Energy Technology Laboratory
,626 Cochrans Mill Road, P.O. Box 10940,
Pittsburgh, PA 15236
e-mail: mehrdad.massoudi@netl.doe.gov
Kaushik Dayal
Department of Civil and Environmental Engineering;
Center for Nonlinear Analysis
,Department for Mathematical Sciences;
Department of Materials Science and Engineering,
Pittsburgh, PA 15213
e-mail: kaushik.dayal@cmu.edu
Carnegie Mellon University
,Pittsburgh, PA 15213
e-mail: kaushik.dayal@cmu.edu
1Corresponding author.
Contributed by the Applied Mechanics Division of ASME for publication in the Journal of Applied Mechanics. Manuscript received December 20, 2018; final manuscript received February 28, 2019; published online April 19, 2019. Assoc. Editor: N.R. Aluru.
J. Appl. Mech. Aug 2019, 86(8): 081001 (11 pages)
Published Online: April 19, 2019
Article history
Received:
December 20, 2018
Revision Received:
February 28, 2019
Accepted:
February 28, 2019
Citation
Rosenbaum, E., Massoudi, M., and Dayal, K. (April 19, 2019). "Effects of Polydispersity on Structuring and Rheology in Flowing Suspensions." ASME. J. Appl. Mech. August 2019; 86(8): 081001. https://doi.org/10.1115/1.4043094
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