56 citations
5 papers
Linear dynamics of weakly viscous accretion disks: A disk analog of Tollmien-Schlichting waves
O. M. Umurhan, G. Shaviv
This paper discusses new perspectives and approaches to the problem of disk dynamics where, in this study, we focus on the effects of viscous instabilities influenced by boundary e…
A shallow-water theory for annular sections of Keplerian Disks
O. M. Umurhan
A scaling argument is presented that leads to a shallow water theory of non-axisymmetric disturbances in annular sections of thin Keplerian disks. To develop a theoretical construc…
On the viability of the shearing box approximation for numerical studies of MHD turbulence in accretion disks
O. Regev, O. M. Umurhan
Most of our knowledge on the nonlinear development of the magneto-rotational instability (MRI) relies on the results of numerical simulations employing the shearing box (SB) approx…
Hydrodynamic response of rotationally supported flows in the Small Shearing Box model
A. Sternberg, O. M. Umurhan, Y. Gil +1
The hydrodynamic response of the inviscid small shearing box model of a midplane section of a rotationally supported astrophysical disk is examined. An energy functional …
On the nonlinear saturation of the magnetorotational instability near threshold in a thin-gap Taylor-Couette setup
O. M. Umurhan, O. Regev, K. Menou
We study the saturation near threshold of the axisymmetric magnetorotational instability (MRI) of a viscous, resistive, incompressible fluid in a thin-gap Taylor-Couette configurat…