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The convective stability of fully stratified baroclinic discs

Volponi, Francesco (2016) The convective stability of fully stratified baroclinic discs Monthly Notices of the Royal Astronomical Society, 460 (1). pp. 560-568.

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We examine the convective stability of hydrodynamic discs with full stratification in the local approximation and in the presence of thermal diffusion (or relaxation). Various branches of the relevant axisymmetric dispersion relation derived by Urpin are discussed. We find that when the vertical Richardson number is larger than or equal to the radial one (i.e. |Riz| ≥ |Rix|) and wavenumbers are comparable (i.e. |kx| ∼ |kz|) the disc becomes unstable, even in the presence of radial and vertical stratifications with Rix > 0 and Riz > 0. The origin of this resides in a hybrid radial–vertical Richardson number. We propose an equilibrium profile with temperature depending on the radial and vertical coordinates and with Riz > 0 for which this destabilization mechanism occurs. We notice as well that the dispersion relation of the ‘convective overstability’ is the branch of the one here discussed in the limit |kz| ≫ |kx| (i.e. two-dimensional disc).

Item Type: Article
Divisions : Faculty of Engineering and Physical Sciences > Physics
Authors :
Date : 22 April 2016
DOI : 10.1093/mnras/stw954
Copyright Disclaimer : This article has been accepted for publication in 'Monthly Notices of the Royal Astronomical Society' @ © 2016 The Author, Published by Oxford University Press on behalf of the Royal Astronomical Society. All rights reserved.
Uncontrolled Keywords : Accretion; Accretion discs; Convection; Hydrodynamics; Instabilities
Depositing User : Clive Harris
Date Deposited : 14 Mar 2018 15:19
Last Modified : 16 Jan 2019 19:08

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