Astronomy and Astrophysics – Astrophysics – High Energy Astrophysical Phenomena
Scientific paper
2011-01-24
Astronomy and Astrophysics
Astrophysics
High Energy Astrophysical Phenomena
12 pages including 4 figures; to appear in New Journal of Physics
Scientific paper
Rotating shear flows, when angular momentum increases and angular velocity decreases as functions of radiation coordinate, are hydrodynamically stable under linear perturbation. The Keplerian flow is an example of such systems which appears in astrophysical context. Although decaying eigenmodes exhibit large transient energy growth of perturbation which could govern nonlinearity into the system, the feedback of inherent instability to generate turbulence seems questionable. We show that such systems exhibiting growing pseudo-eigenmodes easily reach an upper bound of growth rate in terms of the logarithmic norm of the involved nonnormal operators, thus exhibiting feedback of inherent instability. This supports the existence of turbulence of hydrodynamic origin in the Keplerian accretion disc in astrophysics. Hence, this enlightens the mismatch between the linear theory and experimental/observed data and helps in resolving the outstanding question of origin of turbulence therein.
Mathew Ranchu
Mukhopadhyay Banibrata
Raha Soumyendu
No associations
LandOfFree
Growing pseudo-eigenmodes and positive logarithmic norms in rotating shear flows 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 Growing pseudo-eigenmodes and positive logarithmic norms in rotating shear flows, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Growing pseudo-eigenmodes and positive logarithmic norms in rotating shear flows will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-638147