scholarly journals Two types of axisymmetric helical magnetorotational instability in rotating flows with positive shear

2019 ◽  
Vol 4 (10) ◽  
Author(s):  
George Mamatsashvili ◽  
Frank Stefani ◽  
Rainer Hollerbach ◽  
Günther Rüdiger
2012 ◽  
Vol 8 (S290) ◽  
pp. 233-234 ◽  
Author(s):  
Oleg Kirillov ◽  
Frank Stefani

AbstractWe consider rotating flows of an electrically conducting, viscous and resistive fluid in an external magnetic field with arbitrary combinations of axial and azimuthal components. Within the short-wavelength approximation, the local stability of the flow is studied with respect to perturbations of arbitrary azimuthal wavenumbers. In the limit of vanishing magnetic Prandtl number (Pm) we find that the maximum critical Rossby number (Ro) for the occurrence of the magnetorotational instability (MRI) is universally governed by the Liu limit ${\rm Ro}_{Liu}=2-2\sqrt{2}\approx -0.828$ which is below the value for Keplerian rotation RoKepler = −0.75.


2009 ◽  
Vol 45 (2) ◽  
pp. 135-144 ◽  
Author(s):  
F. Stefani ◽  
G. Gerbeth ◽  
Th. Gundrum ◽  
J. Szklarski ◽  
G. Rüdiger ◽  
...  

2007 ◽  
Vol 659 (2) ◽  
pp. 1496-1504 ◽  
Author(s):  
M. Furukawa ◽  
Z. Yoshida ◽  
M. Hirota ◽  
V. Krishan

2018 ◽  
Vol 10 (6) ◽  
pp. 721-729
Author(s):  
V. M. Chechetkin ◽  
K. R. Sychugov ◽  
A. Yu. Lugovsky ◽  
A. N. Pastuhov

2016 ◽  
Vol 461 (2) ◽  
pp. 1614-1620 ◽  
Author(s):  
Quentin Kral ◽  
Henrik Latter

2011 ◽  
Vol 83 (6) ◽  
Author(s):  
P. Rodriguez Imazio ◽  
P. D. Mininni

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