Dynamical instability of laminar axisymmetric flows of ideal incompressible fluid

Details Dynamical instability of laminar axisymmetric flows of ideal incompressible fluid Dynamical instability of laminar axisymmetric flows of ideal incompressible fluid

Aug 2007

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2007astl...33..536z&link_type=abstract

Astronomy Letters, Volume 33, Issue 8, pp.536-549

Astronomy and Astrophysics

Astronomy

Scientific paper

The instability of axisymmetric flows of ideal incompressible fluid with respect to infinitesimal perturbations with the nonconservation of angular momentum is investigated by numerically integrating the differential equations of hydrodynamics. The problem has been solved for two types of rotation profiles of an unperturbed flow: with zero and nonzero pressure gradients at the flow boundaries. Both rigid and free boundary conditions have been considered. The stability of axisymmetric flows with free boundaries is of great importance in disk accretion problems. Our calculations have revealed a crucial role of the flow pattern near the boundaries in the instability of the entire main flow. When the pressure gradient at the boundaries is zero, there is such a limiting scale of perturbations in azimuthal coordinate that longer-wavelength perturbations grow, while growing shorter-wavelength perturbations do not exit. In addition, for a fixed radial flow extent, there exists a nonzero minimum amplitude of the deviation of the angular velocity from the Keplerian one at which the instability vanishes. For a nonzero pressure gradient at the boundaries, the flow is unstable with respect to perturbations of any scale and at any small deviation of the angular velocity from the Keplerian one.

Affiliated with

Also associated with

No associations

Rating

Dynamical instability of laminar axisymmetric flows of ideal incompressible fluid 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 Dynamical instability of laminar axisymmetric flows of ideal incompressible fluid, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Dynamical instability of laminar axisymmetric flows of ideal incompressible fluid will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-968996