An Asymptotic Investigation of the Non-stationary Modes of Instability on a Rotating-disk in the Presence of a Large Magnetic Field Strength

摘要

Asymptotic solutions for stationary and non-stationary modes for the upper and lower branchdisturbances assuming large scale magnetic fields are investigated. A triple deck structure whichgoverns the lower branch modes for a large scale magnetic field is displayed. The wavenumbersand waveangle calculated from the eigenrelations α ≈ 2.62m5/4r-1/2, β ≈ 0.78 m1/4 r1/2, φ = 0.298m-1r, to be consistent with the numerical results for large scale magnetic fields.