Magnetic Field And Field Gradient Corrections Within a Nonconducting Sensor Enclosure in a Conducting Fluid---Part II: Vorticity

Measurements of ocean-generated magnetic fields in submerged enclosures are affected by the nonconducting enviromment within the sensor housing. There are two physical sources for the effect: the exclusion of the electrical current from the interior of the enclosure and the perturbation of the hydrodynamic flow field produced by the enclosure. This paper extends previous work by including vorticity in the perturbed velocity field in addition to potential flow. Solutions are obtained for the case of a spherical enclosure in the low Reynolds number regime. A general theory for the effect of double geometry enclosures is also developed.