Migration of an insulating particle under the action of uniform ambient electric and magnetic fields. Part 1. General theory - Archive ouverte HAL Access content directly
Journal Articles Journal of Fluid Mechanics Year : 2002

Migration of an insulating particle under the action of uniform ambient electric and magnetic fields. Part 1. General theory

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Abstract

The behaviour of an insulating particle suspended in a liquid metal and subject to the influence of locally uniform electric and magnetic fields (E,B) is considered. The electric field drives a current J which is perturbed by the presence of the particle, and the resulting Lorentz force drives a flow. It is assumed that both the Reynolds number and the Hartmann number based on particle size are small. If the particle is fixed, it experiences a force and couple that are each bilinear in J and B; if it is freely suspended, then it moves with translational velocity U and angular velocity O each similarly bilinear in J and B. The general form of these bilinear relationships is determined, with particular attention to three types of particle symmetry: (i) isotropy; (ii) axisymmetry; and (iii) orthotropy.
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Dates and versions

hal-01024913 , version 1 (03-09-2014)

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H.K. Moffatt, Antoine Sellier. Migration of an insulating particle under the action of uniform ambient electric and magnetic fields. Part 1. General theory. Journal of Fluid Mechanics, 2002, 464 (august), pp.279-286. ⟨10.1017/s0022112002001131⟩. ⟨hal-01024913⟩
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