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Boundary effects on electro-magneto-phoresis

Published online by Cambridge University Press:  10 March 2009

EHUD YARIV  and
TOUVIA MILOH
EHUD YARIV*
Affiliation:
Faculty of Mathematics, Technion – Israel Institute of Technology, Technion City 32000, Israel
TOUVIA MILOH
Affiliation:
School of Mechanical Engineering, Faculty of Engineering, Tel Aviv University, Ramat Aviv 69978, Israel
*
†Email address for correspondence: [email protected]
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Abstract

The effect of a remote insulating boundary on the electro-magneto-phoretic motion of an insulating spherical particle suspended in a conducting liquid is investigated using an iterative reflection scheme developed about the unbounded-fluid-domain solution of Leenov & Kolin (J. Chem. Phys., vol. 22, no. 4, p. 683). Wall-induced corrections result from velocity reflections, successively introduced so as to maintain the no-slip condition on the wall and particle boundaries, as well as from the Lorentz forces associated with comparable reflections of the electric field. This method generates asymptotic expansions in λ (≪1), the ratio of particle size to particle–wall separation. The leading-order correction to the hydrodynamic force on the particle appears at O(λ3); it is directed along the leading-order force and tends to augment it.

Type
Papers
Information
Journal of Fluid Mechanics , Volume 622 , 10 March 2009 , pp. 195 - 207
Copyright
Copyright © Cambridge University Press 2009

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