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Migration of rigid spheres in a two-dimensional unidirectional shear flow of a second-order fluid

Published online by Cambridge University Press:  11 April 2006

B. P. Ho  and
L. G. Leal
B. P. Ho
Affiliation:
Chemical Engineering, California Institute of Technology, Pasadena
L. G. Leal
Affiliation:
Chemical Engineering, California Institute of Technology, Pasadena
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Abstract

The lateral migration of a neutrally buoyant rigid sphere suspended in a second-order fluid is studied theoretically for unidirectional two-dimensional flows. The results demonstrate the existence of migration induced by normal stresses whenever there is a lateral variation of the shear rate in the undisturbed flow. The migration occurs in the direction of decreasing absolute shear rate, which is towards the centre-line for a plane Poiseuille flow and towards the outer cylinder wall for Couette flow. The direction of migration agrees with existing experimental data for a viscoelastic suspending fluid, and qualitative agreement is found between the theoretically predicted and experimentally measured sphere trajectories.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 76 , Issue 4 , 25 August 1976 , pp. 783 - 799
Copyright
© 1976 Cambridge University Press

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