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Predictions of microstructure and stress in planar extensional flows of a dense viscous suspension

Published online by Cambridge University Press:  11 February 2021

James T. Jenkins Open the ORCID record for James T. Jenkins [Opens in a new window] ,
Ryohei Seto Open the ORCID record for Ryohei Seto [Opens in a new window]  and
Luigi La Ragione Open the ORCID record for Luigi La Ragione [Opens in a new window]
James T. Jenkins*
Affiliation:
School of Civil and Environmental Engineering, Cornell University, Ithaca, NY14853, USA
Ryohei Seto*
Affiliation:
Wenzhou Institute, University of Chinese Academy of Sciences, Wenzhou, Zhejiang325001, PR China
Luigi La Ragione
Affiliation:
Dipartimento di Scienze dell'Ingegneria Civile e dell'Architettura, Politecnico di Bari, 70125Bari, Italy
*
†Email address for correspondence regarding the model: jtj2@cornell.edu
‡Email address for correspondence regarding the simulation: setoryohei@mac.com
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Abstract

We consider extensional flows of a dense layer of spheres in a viscous fluid and employ force and torque balances to determine the trajectory of particle pairs that contribute to the stress. In doing this, we use Stokesian dynamics simulations to guide the choice of the near-contacting pairs that follow such a trajectory. We specify the boundary conditions on the representative trajectory, and determine the distribution of particles along it and how the stress depends on the microstructure and strain rate. We test the resulting predictions using the numerical simulations. Also, we show that the relation between the tensors of stress and strain rate involves the second and fourth moments of the particle distribution function.

JFM classification

Multiphase and Particle-laden Flows: Particle/fluid flow Non-Newtonian Flows: Rheology Complex Fluids: Suspensions
Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 912 , 10 April 2021 , A27
Copyright
© The Author(s), 2021. Published by Cambridge University Press

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References

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