A viscous-convective instability in laminar Keplerian thin discs
High Energy Astrophysical Phenomena
2017-02-15 v3 Fluid Dynamics
Abstract
Using the anelastic approximation of linearized hydrodynamic equations, we investigate the development of axially symmetric small perturbations in thin Keplerian discs. Dispersion relation is found as a solution of general Sturm-Liouville eigenvalue problem for different values of relevant physical parameters (viscosity, heat conductivity, disc semithickness). The analysis reveals the appearance of overstable mode for Prandtl parameter higher than some critical value. These modes have a viscous-convective nature and can serve as a seed for turbulence in astrophysical discs even in the absence of magnetic fields.
Cite
@article{arxiv.1603.04878,
title = {A viscous-convective instability in laminar Keplerian thin discs},
author = {Konstantin Malanchev and Konstantin Postnov and Nikolai Shakura},
journal= {arXiv preprint arXiv:1603.04878},
year = {2017}
}
Comments
7 pages, 4 figures. Sobolev-100 conference proceedings