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On the bulk viscosity of suspensions

Brady, John F. and Khair, Aditya S. and Swaroop, Manuj (2006) On the bulk viscosity of suspensions. Journal of Fluid Mechanics, 554 . pp. 109-123. ISSN 0022-1120. https://resolver.caltech.edu/CaltechAUTHORS:BRAjfm06

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Abstract

The bulk viscosity of a suspension relates the deviation of the trace of the macroscopic or averaged stress from its equilibrium value to the average rate of expansion. For a suspension the equilibrium macroscopic stress is the sum of the fluid pressure and the osmotic pressure of the suspended particles. An average rate of expansion drives the suspension microstructure out of equilibrium and is resisted by the thermal motion of the particles. Expressions are given to compute the bulk viscosity for all concentrations and all expansion rates and shown to be completely analogous to the well-known formulae for the deviatoric macroscopic stress, which are used, for example, to compute the shear viscosity. The effect of rigid spherical particles on the bulk viscosity is determined to second order in volume fraction and to leading order in the Péclet number, which is defined as the expansion rate made dimensionless with the Brownian time scale. A repulsive hard-sphere-like interparticle force reduces the hydrodynamic interactions between particles and decreases the bulk viscosity.


Item Type:Article
Related URLs:
URLURL TypeDescription
https://doi.org/10.1017/S0022112006009438DOIUNSPECIFIED
ORCID:
AuthorORCID
Brady, John F.0000-0001-5817-9128
Additional Information:Copyright © 2006 Cambridge University Press. Reprinted with permission. (Received 23 September 2005 and in revised form 7 February 2006) Published online 24 April 2006
Record Number:CaltechAUTHORS:BRAjfm06
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:BRAjfm06
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:4583
Collection:CaltechAUTHORS
Deposited By: Archive Administrator
Deposited On:29 Aug 2006
Last Modified:24 Feb 2020 10:30

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