Hydromagnetic oscillations of a fluid sphere with internal motions

Abstract

A stationary solution of the equations of hydromagnetics for an incompressible inviscid fluid of infinite electrical conductivity is given by ν = H/√(47πρ), where ν denotes the velocity, H the magnetic field, and ρ the density. The case is considered in which ν and Hhave symmetry about an axis, and convenient forms for the equations governing axisymmetric oscillations about the stationary solution are obtained. These latter equations take their simplest forms when the initial magnetic field and fluid motions have no poloidal components. This case is considered in some detail.