MOTION OF AN INSULATING SOLID PARTICLE NEAR A PLANE BOUNDARY UNDER THE ACTION OF UNIFORM AMBIENT ELECTRIC AND MAGNETIC FIELDS

作者：Sellier A^*

来源：Magnetohydrodynamics, 2015, 51(3): 589-599.

DOI：10.22364/mhd.51.3.18

This work addresses the wall-particle interactions between a solid and insulating particle immersed above a plane wall in a conducting liquid when subject to ambient uniform electric and magnetic fields. Both for a perfectly conducting or for an insulating wall, attention is paid to the net electromagnetic force and torque exerted on the particle when it is held fixed and also to the particle rigid-body migration when it is freely suspended in the liquid. A new boundary approach is proposed to obtain those quantities whatever the particle shape and location. The advocated procedure actually reduces the task to the determination of a few surface quantities by inverting seven boundary-integral equations on the particle boundary. The entire procedure is then asymptotically worked out in the case of a perfectly conducting wall for a distant particle, i.e. when the wall particle gap is much larger than the particle length scale. The derived asmptotic results reveal that the magnitude of the wall particle interactions deeply depends on the distant particle geometry. In that sense, the results previously obtained by other authors for a distant sphere interacting with an insulating plane wall are far from being general.

• 出版日期2015-9