Ghosh, S and Mukhopadhyay, B (2021) Forced Linear Shear Flows with Rotation: Rotating Couette-Poiseuille Flow, Its Stability, and Astrophysical Implications. In: Astrophysical Journal, 922 (2).
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Abstract
We explore the effect of forcing on the linear shear flow or plane Couette flow, which is also the background flow in the very small region of the Keplerian accretion disk. We show that depending on the strength of forcing and boundary conditions suitable for the systems under consideration, the background plane shear flow, and hence the accretion disk velocity profile, is modified into parabolic flow, which is a plane Poiseuille flow or Couette-Poiseuille flow, depending on the frame of reference. In the presence of rotation, the plane Poiseuille flow becomes unstable at a smaller Reynolds number under pure vertical as well as three-dimensional perturbations. Hence, while rotation stabilizes the plane Couette flow, the same destabilizes the plane Poiseuille flow faster and hence the forced local accretion disk. Depending on the various factors, when the local linear shear flow becomes a Poiseuille flow in the shearing box due to the presence of extra force, the flow becomes unstable even for Keplerian rotation, and hence turbulence will ensue. This helps to resolve the long-standing problem of subcritical transition to turbulence in hydrodynamic accretion disks and the laboratory plane Couette flow. © 2021. The American Astronomical Society. All rights reserved.
| Item Type: | Journal Article |
|---|---|
| Publication: | Astrophysical Journal |
| Publisher: | IOP Publishing Ltd |
| Additional Information: | The copyright for this article belongs to the Author. |
| Department/Centre: | Division of Physical & Mathematical Sciences > Physics |
| Date Deposited: | 06 Jan 2022 11:37 |
| Last Modified: | 06 Jan 2022 11:37 |
| URI: | http://eprints.iisc.ac.in/id/eprint/70820 |
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