Astronomy and Astrophysics – Astrophysics
Scientific paper
2007-03-14
Astronomy and Astrophysics
Astrophysics
6 pages, resubmitted to Astronomy and Astrophysics, shortened with references added
Scientific paper
10.1051/0004-6361:20077484
The hydrodynamic response of the inviscid small shearing box model of a midplane section of a rotationally supported astrophysical disk is examined. An energy functional ${\cal E}$ is formulated for the general nonlinear problem. It is found that the fate of disturbances is related to the conservation of this quantity which, in turn, depends on the boundary conditions utilized: ${\cal E}$ is conserved for channel boundary conditions while it is not conserved in general for shearing box conditions. Linearized disturbances subject to channel boundary conditions have normal-modes described by Bessel Functions and are qualitatively governed by a quantity $\Sigma$ which is a measure of the ratio between the azimuthal and vertical wavelengths. Inertial oscillations ensue if $\Sigma >1$ - otherwise disturbances must in general be treated as an initial value problem. We reflect upon these results and offer a speculation.
Gil Y.
Regev Oded
Sternberg Amiel
Umurhan Orkan Mehmet
No associations
LandOfFree
Hydrodynamic response of rotationally supported flows in the Small Shearing Box model 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 Hydrodynamic response of rotationally supported flows in the Small Shearing Box model, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Hydrodynamic response of rotationally supported flows in the Small Shearing Box model will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-715503