Publication Date:
1966-04-01
Description:
The case of a dielectric sphere executing small-amplitude oscillations in an incompressible, conducting fluid with a uniform magnetic field aligned along the axis of oscillation is studied. For the case of large Hartmann and Reynolds numbers, the MHD equations are linearized. Solutions correct to O(Rm) are obtained for the velocity, pressure, current, and electric and magnetic fields in the fluid. The MHD drag on an oscillating dielectric sphere in mercury was experimentally determined in aligned fields to 0·8 Wb/m2. The experimental results agree well with the theory. The theory and experiment were extended to include the régime where the perturbed velocity is not small compared with the velocity present in the absence of a magnetic field. The validity of using the inviscid velocity to compute the current is verified by measuring the angular dependence of the induced electric field. © 1966, Cambridge University Press. All rights reserved.
Print ISSN:
0022-1120
Electronic ISSN:
1469-7645
Topics:
Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
,
Physics
