Orientation and rheology of rodlike particles with weak Brownian diffusion in a second-order fluid under simple shear flow |
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Authors: | C Cohen B Chung W Stasiak |
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Institution: | (1) School of Chemical Engineering, Cornell University, 14853 Ithaca, New York, USA;(2) GenCorp, Research Division, 2990 Gilchrist Road, 44305 Akron, Ohio, USA;(3) Department of Mathematics and Mechanics, University of Warsaw, PL-00 901 Warsaw, Poland |
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Abstract: | An analysis of particle orientation in a dilute suspension of rodlike particles in a second-order fluid was performed to examine the effects of the elasticity of the fluid and of weak Brownian diffusion of the particle on its orientation. Distributions of particle orientation under a simple shear flow with rate of shearg have been obtained as a function of a single nondimensional parameter,
* = /r
e
2
(D/g), which combines the effects of the particle aspect ratior
e
, the weak fluid elasticity , and the weak Brownian rotation diffusion coefficientD of the particle. In the limit of larger
e
, when the fluid elasticity is strong enough to overcome the rotational diffusion effect on the particle motion, most of the particles will orient close to the vorticity axis. A new shear-thinning mechanism of the shear viscosity of such systems is predicted by the theory. |
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Keywords: | Orientation rodlikeparticle weakBrownian diffusion second-orderfluid |
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