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The motion of axisymmetric dipolar particles in homogeneous shear flow

Published online by Cambridge University Press:  26 April 2006

Y. Almog  and
I. Frankel
Y. Almog
Affiliation:
Faculty of Mathematics, Technion – Israel Institute of Technology, Haifa 32000, Israel Present address: Department of Mathematics, Massachusetts Institute of Technology, Cambridge MA 02139, USA.
I. Frankel
Affiliation:
Faculty of Aerospace Engineering, Technion – Israel Institute of Technology, Haifa 32000, Israel
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Abstract

The respective effects of an external field and departure of suspended particles from spherical shape on the rotary motion of axisymmetric dipolar particles placed in a homogeneous shear flow are studied. The analysis shows that, owing to cumulative effects, even a weak external field or a small deviation from spherical shape can significantly modify the resulting motion relative to that found in the corresponding classical problems of torque-free particles or dipolar spheres in homogeneous shear. Thus, unlike the latter problems, there are in the present problem cases when all particles approach a single limit cycle; in other cases multiple stable equilibria simultaneously coexist and the orientation space is appropriately divided into corresponding domains of attraction; in some situations possessing appropriate symmetry properties, particles may, depending upon their respective initial orientations, either move along a family of periodic orbits or else converge to a stable equilibrium orientation.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 289 , 25 April 1995 , pp. 243 - 261
Copyright
© 1995 Cambridge University Press

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