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The motion of a droplet subjected to linear shear flow including the presence of a plane wall

Published online by Cambridge University Press:  26 April 2006

W. S. J. Uijttewaal  and
E. J. Nijhof
W. S. J. Uijttewaal
Affiliation:
Department of Medical and Physiocological Physics, University of Utrecht, The Netherlands Present Address: Laboratory for aero-and Hydrodynamics, Delft Uninversity of Technology, Rotterdamseweg 145,2628 AL Delft, The Netherlands.
E. J. Nijhof
Affiliation:
Department of Medical and Physiocological Physics, University of Utrecht, The Netherlands
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Abstract

A fluid droplet subjected to shear flow deforms and rotates in the flow. In the presence of a wall the droplet migrates with respect to a material element in the undisturbed flow field. Neglecting fluid inertia, the Stakes problem for the droplet is solved using a boundary integral technique. It is shown how the time-dependent deformation, orientation, circulation and droplet viscosity. The migration velocities are calculated in the directions parallel and perpendicular to the wall, and compared with theoretical models and expeeriments. The results reveal some of the shortcomings of existiong models although not all diserepancies between our calculations and known experiments could be clarified.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 302 , 10 November 1995 , pp. 45 - 63
Copyright
© 1995 Cambridge University Press

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