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The pressure moments for two rigid spheres in low-Reynolds-number flow

Jeffrey, D. J. and Morris, J. F. and Brady, J. F. (1993) The pressure moments for two rigid spheres in low-Reynolds-number flow. Physics of Fluids A, 5 (10). pp. 2317-2325. ISSN 0899-8213. http://resolver.caltech.edu/CaltechAUTHORS:JEFpofa93

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Abstract

The pressure moment of a rigid particle is defined to be the trace of the first moment of the surface stress acting on the particle. A Faxén law for the pressure moment of one spherical particle in a general low-Reynolds-number flow is found in terms of the ambient pressure, and the pressure moments of two rigid spheres immersed in a linear ambient flow are calculated using multipole expansions and lubrication theory. The results are expressed in terms of resistance functions, following the practice established in other interaction studies. The osmotic pressure in a dilute colloidal suspension at small Péclet number is then calculated, to second order in particle volume fraction, using these resistance functions. In a second application of the pressure moment, the suspension or particle-phase pressure, used in two-phase flow modeling, is calculated using Stokesian dynamics and results for the suspension pressure for a sheared cubic lattice are reported.


Item Type:Article
Additional Information:© 1993 American Institute of Physics. Received 22 February 1993; accepted 2 June 1993. This work was supported by the Natural Sciences and Engineering Research Council of Canada, the National Science Foundation program, and the Office of Naval Research, under Grant No. N00014-90-J-1945.
Record Number:CaltechAUTHORS:JEFpofa93
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:JEFpofa93
Alternative URL:http://dx.doi.org/10.1063/1.858795
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:9998
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:02 Apr 2008
Last Modified:26 Dec 2012 09:55

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