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Tensorial rheological model for concentrated non-colloidal suspensions: normal stress differences

Published online by Cambridge University Press:  13 July 2020

Olivier Ozenda Open the ORCID record for Olivier Ozenda [Opens in a new window] ,
Pierre Saramito  and
Guillaume Chambon Open the ORCID record for Guillaume Chambon [Opens in a new window]
Olivier Ozenda
Affiliation:
Lab. J. Kuntzmann, CNRS and Université Grenoble Alpes, CS 40700, 38058Grenoble CEDEX 9, France Université Grenoble Alpes, INRAE, UR ETGR, 2 rue de la Papeterie, 38402St-Martin-d’Hères, France
Pierre Saramito*
Affiliation:
Lab. J. Kuntzmann, CNRS and Université Grenoble Alpes, CS 40700, 38058Grenoble CEDEX 9, France
Guillaume Chambon
Affiliation:
Université Grenoble Alpes, INRAE, UR ETGR, 2 rue de la Papeterie, 38402St-Martin-d’Hères, France
*
†Email address for correspondence: pierre.saramito@math.cnrs.fr
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Abstract

Only few rheological models in the literature simultaneously capture the two main non-Newtonian trends of non-colloidal suspensions, namely finite normal stress differences and transient effects. We address this issue by extending a previously proposed minimal model accounting for microstructure anisotropy through a conformation tensor, which was shown to correctly predict transient effects (Ozenda, Saramito & Chambon, J. Rheol., vol. 62 (4), 2018, pp. 889–903). A systematic sensitivity study was performed to provide insights into the physical interpretation of the various model terms. This new model is compared to a large experimental dataset involving varying volume fractions, from dilute to concentrated cases. Both apparent viscosity and normal stress differences in steady state are quantitatively reproduced in the whole range of volume fraction, and qualitative agreement for transient evolution of apparent viscosity during shear reversal is obtained. Furthermore, the model is validated against particle pressure measurements that were not used for parameter identification. Even if the proposed constitutive equation for the Cauchy stress tensor is more difficult to interpret than in the minimal model, this study opens the way for the use of conformation tensor rheological models in applications where the effect of normal stress differences is prominent, like elongational flows or particle migration processes.

JFM classification

Complex Fluids: Suspensions Non-Newtonian Flows: Rheology Multiphase and Particle-laden Flows: Multiphase flow
Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 898 , 10 September 2020 , A25
Copyright
© The Author(s), 2020. Published by Cambridge University Press

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