Welcome to the new version of CaltechAUTHORS. Login is currently restricted to library staff. If you notice any issues, please email coda@library.caltech.edu
Published October 10, 1997 | public
Journal Article Open

Microstructure of strongly sheared suspensions and its impact on rheology and diffusion

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

BRAjfm97.pdf
Files (1.2 MB)
Name Size Download all
md5:0573b942495c87fe5782990d7599006b
1.2 MB Preview Download

Additional details

Created:
August 22, 2023
Modified:
October 13, 2023