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Issue A&A
Volume 432, Number 2, March III 2005
Page(s) L31 - L34
Section Letters
DOI http://dx.doi.org/10.1051/0004-6361:200500006



A&A 432, L31-L34 (2005)
DOI: 10.1051/0004-6361:200500006

Letter

On the nature of the hydrodynamic stability of accretion disks

O. M. Umurhan and G. Shaviv

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 )

Abstract
The linear stability of accretion disks is revisited. The governing equations are expanded asymptotically and solved to first order in the expansion parameter $\epsilon$ 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 $t\sin\Omega_0 t$ locally in the disk where $\Omega_0$ 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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