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Rotation of small non-axisymmetric particles in a simple shear flow

Published online by Cambridge University Press:  19 April 2006

E. J. Hinch  and
L. G. Leal
E. J. Hinch
Affiliation:
Department of Applied Mathematics and Theoretical Physics, University of Cambridge
L. G. Leal
Affiliation:
Chemical Engineering, California Institute of Technology
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Abstract

The equations for the rotation of non-axisymmetric ellipsoids in a simple shear flow at low Reynolds numbers are derived in terms of Euler angles. Numerical solutions of this third-order system of equations show a doubly periodic structure to the rotation, with a change in the general nature of the solutions when a certain planar rotation of the particle becomes unstable. Some analytic progress can be made for nearly spherical ellipsoids and for nearly axisymmetric ellipsoids. The near spheres show the same qualitative behaviour as the general ellipsoids. Quite small deviations from axial symmetry are found to produce large changes in the rotation.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 92 , Issue 3 , 12 June 1979 , pp. 591 - 607
Copyright
© 1979 Cambridge University Press

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References

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