Hard and refractory particles with various shapes have been added to ceramic materials to enhance creep resistance. Also, many of the particles in food emulsions, magnetic particle suspensions, and other industrial systems may have nonspherical shapes. Hence, it is important to understand the effects of particle shape on the viscosity of suspensions. While the shape of many particles can be approximated as prolate or oblate spheroids, the purpose of the present study is to model the effective viscosity of semidilute suspensions of rigid ellipsoids. Closed-form expressions are obtained; however, their formulations are formidable. For the special cases of rodlike or disklike particles, simple closed-form expressions can be obtained. The present solutions are compared with existing solutions.
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15 January 2010
Research Article|
January 27 2010
Effective viscosity of semidilute suspensions of rigid ellipsoids
C. H. Hsueh;
C. H. Hsueh
a)
1Department of Materials Science and Engineering,
National Taiwan University
, Taipei 106, Taiwan
2Department of Physics and Astronomy,
University of Tennessee
, Knoxville, Tennessee 37996, USA
3Materials Science and Technology Division,
Oak Ridge National Laboratory
, Oak Ridge, Tennessee 37831, USA
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W. C. J. Wei
W. C. J. Wei
1Department of Materials Science and Engineering,
National Taiwan University
, Taipei 106, Taiwan
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a)
Electronic mail: [email protected]. On leave.
J. Appl. Phys. 107, 024905 (2010)
Article history
Received:
September 18 2009
Accepted:
November 26 2009
Citation
C. H. Hsueh, W. C. J. Wei; Effective viscosity of semidilute suspensions of rigid ellipsoids. J. Appl. Phys. 15 January 2010; 107 (2): 024905. https://doi.org/10.1063/1.3283925
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