| Issue |
A&A
Volume 432, Number 2, March III 2005
|
|
|---|---|---|
| Page(s) | L31 - L34 | |
| Section | Letters | |
| DOI | https://doi.org/10.1051/0004-6361:200500006 | |
| Published online | 02 March 2005 | |
Letter to the Editor
On the nature of the hydrodynamic stability of accretion disks*
Department of Physics, Technion-Israel Institute of Technology, 32000 Haifa, Israel e-mail: mumurhan@physics.technion.ac.il
Received:
15
November
2004
Accepted:
20
January
2005
The linear stability of accretion disks is revisited.
The governing equations are expanded asymptotically and solved to first
order in the expansion parameter ϵ defined by the ratio of the
disk's vertical thickness to its radial extent. Algebraically growing solutions are found for global perturbations on the radial accretion flow of thin inviscid compressible
Keplerian disks. The algebraic temporal behavior is exhibited in the vertical velocities
and the thermodynamic variables and has the form 
locally in the
disk where 
is the Keplerian rotation rate. The physical implications and relations
to the Solberg-Hoiland stability criteria
are discussed.
Key words: hydrodynamics / accretion disks / transient growth
© ESO, 2005
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