Microstructure of strongly sheared suspensions and its impact on rheology and diffusion
- Creators
- Brady, John F.
- Morris, Jeffrey F.
Abstract
The effects of Brownian motion alone and in combination with an interparticle force of hard-sphere type upon the particle configuration in a strongly sheared suspension are analysed. In the limit Pe[rightward arrow][infty infinity] under the influence of hydrodynamic interactions alone, the pair-distribution function of a dilute suspension of spheres has symmetry properties that yield a Newtonian constitutive behaviour and a zero self-diffusivity. Here, Pe=[gamma][ogonek]a2/2D is the Péclet number with [gamma][ogonek] the shear rate, a the particle radius, and D the diffusivity of an isolated particle. Brownian diffusion at large Pe gives rise to an O(aPe[minus sign]1) thin boundary layer at contact in which the effects of Brownian diffusion and advection balance, and the pair-distribution function is asymmetric within the boundary layer with a contact value of O(Pe0.78) in pure-straining motion; non-Newtonian effects, which scale as the product of the contact value and the O(a3Pe[minus sign]1) layer volume, vanish as Pe[minus sign]0.22 as Pe[rightward arrow][infty infinity].
Additional Information
"Reprinted with the permission of Cambridge University Press." (Received August 7 1996) (Revised February 19 1997) This work was supported in part by grant No. CTS-9420415 from the National Science Foundation and by grant No. N00014-95-1-0423 from the Office of Naval Research. The authors wish to thank Francis Gadala-Maria for providing figure 2. J.F.B. wishes to thank the Isaac Newton Institute for Mathematical Sciences, Cambridge University, for their hospitality during the writing of this paper.Files
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Additional details
- Eprint ID
- 1582
- Resolver ID
- CaltechAUTHORS:BRAjfm97
- Created
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2006-02-01Created from EPrint's datestamp field
- Updated
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2020-02-24Created from EPrint's last_modified field