Restricted sliding or rotational motion of colloidal particles plays a key role in the emergence of discontinuous shear thickening (DST). From viscometric functions to the number of contacting neighbors under an applied deformation, a hindrance to sliding motion significantly changes the behavior of dense suspensions on all scales. In this work, implicitly by using a modified hydrodynamic model based on Stokesian dynamics and explicitly by solving for the hydrodynamics of nonsmooth colloids, we show that lubrication forces that arise from surface asperities effectively provide such constraints to tangential particle motion. A transition from continuous shear thickening to DST is observed as the surface roughness of the particles is systematically increased. In this hydrodynamic model for DST, normal stress differences remain negative in the shear-thickened state (STS). Study of the spatial stress distribution indicates the onset of DST to be a highly localized event; however, particle self-diffusivity and the microstructural network suggest a rather uniform structure in the STS.
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March 2020
Research Article|
March 01 2020
A hydrodynamic model for discontinuous shear-thickening in dense suspensions
Special Collection:
Physics of Dense Suspensions
Mu Wang
;
Mu Wang
a)
1
Strategic Innovation & Technology, The Procter & Gamble Company
, Cincinnati, Ohio 45217
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Safa Jamali;
Safa Jamali
b)
2
Department of Mechanical and Industrial Engineering, Northeastern University
, Boston, Massachusetts 02115
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John F. Brady
John F. Brady
c)
3
Division of Chemistry and Chemical Engineering, California Institute of Technology
, Pasadena, California 91125c)Author to whom correspondence should be addressed; electronic mail: [email protected]
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a)
Electronic mail: [email protected]
b)
Electronic mail: [email protected]
c)Author to whom correspondence should be addressed; electronic mail: [email protected]
Note: This paper is part of the special issue on Physics of Dense Suspensions.
J. Rheol. 64, 379–394 (2020)
Article history
Received:
October 29 2019
Accepted:
January 26 2020
Citation
Mu Wang, Safa Jamali, John F. Brady; A hydrodynamic model for discontinuous shear-thickening in dense suspensions. J. Rheol. 1 March 2020; 64 (2): 379–394. https://doi.org/10.1122/1.5134036
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