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Bulk stress of a periodic suspension of solid particles of arbitrary shape |
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| Institution: | Department of Applied Physics, Nagoya University, Chikusa-ku, Nagoya 464-01, Japan;Drexel University, Department of Chemical and Biological Engineering, Drexel University, Philadelphia, PA 19104, United States;University of Bergen, Department of Physics and Technology, Allégaten 55, 5007 Bergen, Norway |
| Abstract: | An analytical study is made of the bulk stress of a periodic array of solid identical and force-free particles of arbitrary shape in an incompressible Newtonian fluid. Asymptotic expressions are derived for the bulk stress of dilute periodic suspensions. Asymptotic expressions are also derived for a concentrated suspension of almost-touching ellipsoids at an instant when the suspension has orthotropic symmetry. |
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