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Boundary effects on electro-magneto-phoresis

  • EHUD YARIV (a1) and TOUVIA MILOH (a2)

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 O3); it is directed along the leading-order force and tends to augment it.

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Journal of Fluid Mechanics
  • ISSN: 0022-1120
  • EISSN: 1469-7645
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