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

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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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, Cambridge University Press (CUP), 2002, 464 (august), pp.279-286. ⟨10.1017/s0022112002001131⟩. ⟨hal-01024913⟩

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