Jump to Content
Your Recent History
View Cart
LOG IN or SELECT A PURCHASE OPTION:
Phys. Fluids 31, 717 (1988); http://dx.doi.org/10.1063/1.866808 (11 pages)
The sedimentation rate of disordered suspensions
(Received 2 November 1987; accepted 22 December 1987)
Alerts
Alert Me When Cited
Alert Me When Corrected
Tools
Download Citation
Add to MyScitation
Permissions / Reprints
Blog This Article
Print-Friendly
Research Toolkit
Share
Email Abstract
Connotea
CiteULike
del.icio.us
BibSonomy
Tweet this Article
Add to FacebookAn explicit expression for the sedimentation velocity at low particle Reynolds number in a concentrated suspension is derived and evaluated for two different approximations to the hydrodynamic interactions: a strict pairwise additive approximation and a far‐field, or Rotne–Prager, approximation. It is shown that the simple Rotne–Prager approximation gives a very accurate prediction for the sedimentation velocity of random suspensions from the dilute limit all the way up to close packing. The pairwise additive approximation, however, fails completely, predicting an aphysical negative sedimentation velocity above a volume fraction ϕ≊0.23. The explanation for these different behaviors is shown to be linked to the ‘‘effective medium’’ behavior of the suspensions. It is shown analytically and by Stokesian dynamics simulation that a suspension of neutrally buoyant particles may be modeled as a homogeneous fluid with an effective viscosity, but a sedimenting suspension cannot. As a result, the Rotne–Prager approximation actually captures the correct features of the many‐body interactions in sedimentation. An analytical expression for the sedimentation rate, which is in good agreement with experiment, is obtained using the Percus–Yevick hard‐sphere distribution function.
KEYWORDS and PACS
ARTICLE DATA
Digital Object Identifier
PUBLICATION DATA
For access to fully linked references, you need to log in.
-
M. S. Wertheim, Phys. Rev. Lett. 10, 321 (1963).
E. Thiele, J. Chem. Phys. 39, 474 (1963JCPSA6000039000002000474000001).
G. J. Throop and R. J. Beannan, J. Chem. Phys. 42, 2408 (1965JCPSA6000042000007002408000001).
L. Verlet and J. J. Weis, Phys. Rev. A 5, 939 (1972).
P. Perry and G. J. Throop, J. Chem. Phys. 57, 1827 (1972JCPSA6000057000005001827000001).
D. G. Chae, F. M. Ree, and T. Ree, J. Chem. Phys. 50, 1581 (1969JCPSA6000050000004001581000001).
S. Kim and R. T. Mifflin, Phys. Fluids 28, 2033 (1985PFLDAS000028000007002033000001).
L. Durlofsky and J. F. Brady, Phys. Fluids 30, 3329 (1987PFLDAS000030000011003329000001).
For access to citing articles, you need to log in.
This Publication
Scitation
SPIN
Google Scholar
PubMed