Criteria for the Shear Flow Instability in the Magnetopause Boundary Layer Region

Details Criteria for the Shear Flow Instability in the Magnetopause Boundary Layer Region Criteria for the Shear Flow Instability in the Magnetopause Boundary Layer Region

Sep 1993

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1993em%26p...62..245p&link_type=abstract

Earth, Moon, and Planets, Volume 62, Issue 3, pp.245-258

Computer Science

4

Scientific paper

Shear flow instability is studied in the planar magnetopause boundary layer region by treating the plasma as compressible. A necessary criterion for instability near the Alfvén resonance is obtained. Sufficient criterion for instability is derived from the solution of a six degree polynomial for the cases of constant and antisymmetric velocity profiles when there is no Alfvén resonance. Both the criteria are obtained analytically for the first time. The necessary criterion generalises the well-known inflexion point theorem and Rayleigh's criterion in the hydrodynamic case to magnetohydrodynamic case for incompressible plasma provided both the Alfvén surfaces lie in the boundary layer. The Alfvén resonant surfaces are similar to the boundary walls in hydrodynamics. A semi-hyperbola theorem for the unstable situation is derived which represents the domain of Doppler shifted real frequency and imaginary frequency. From the sufficient criterion for instability it is observed that plasma shear should be more for a compressible plasma in order to make the plasma unstable. The growth rate for instability is obtained. A thin layer around Alfvén resonance effectively determines how fast the flow could attain instability.

Affiliated with

Also associated with

No associations

Rating

Criteria for the Shear Flow Instability in the Magnetopause Boundary Layer Region does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Criteria for the Shear Flow Instability in the Magnetopause Boundary Layer Region, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Criteria for the Shear Flow Instability in the Magnetopause Boundary Layer Region will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-1562251