scholarly journals Exploring non-normality in magnetohydrodynamic rotating shear flows: Application to astrophysical accretion disks

2016 ◽  
Vol 1 (6) ◽  
Author(s):  
Tanayveer Singh Bhatia ◽  
Banibrata Mukhopadhyay
Keyword(s):  
Accretion Disks ◽  
Shear Flows ◽  
Rotating Shear Flows

scholarly journals Growing pseudo-eigenmodes and positive logarithmic norms in rotating shear flows

2011 ◽  
Vol 13 (2) ◽  
pp. 023029 ◽  
Author(s):  
Banibrata Mukhopadhyay ◽  
Ranchu Mathew ◽  
Soumyendu Raha
Keyword(s):  
Shear Flows ◽  
Logarithmic Norms ◽  
Rotating Shear Flows

scholarly journals High Reynolds Number Turbulence Model of Rotating Shear Flows

1983 ◽  
Vol 26 (219) ◽  
pp. 1534-1541 ◽  
Author(s):  
Shigeaki MASUDA ◽  
Hide S. KOYAMA ◽  
Ichiro ARIGA
Keyword(s):  
Reynolds Number ◽  
Turbulence Model ◽  
High Reynolds Number ◽  
Shear Flows ◽  
High Reynolds ◽  
Rotating Shear Flows

The evolution of a localized vortex disturbance in external shear flows. Part 2. Comparison with experiments in rotating shear flows

1999 ◽  
Vol 379 ◽  
pp. 351-380 ◽  
Author(s):  
EDWIN MALKIEL ◽  
VLADIMIR LEVINSKI ◽  
JACOB COHEN
Keyword(s):  
Theoretical Model ◽  
Shear Flows ◽  
Laser Doppler Anemometry ◽  
Finite Amplitude ◽  
Base Flow ◽  
Mean Flow ◽  
Hairpin Vortices ◽  
Flow Parameters ◽  
Angular Velocities ◽  
Rotating Shear Flows

The evolution of artificially generated localized disturbances in the shape of hairpin vortices, in laminar axisymmetric rotating shear flows, is investigated experimentally. The results are compared with the predictions of a theoretical model (Levinski & Cohen 1995) with respect to the growth of such disturbances. Hairpin vortices were generated at the surface of the inner cylinder of an axisymmetric Couette apparatus, employing an injection–suction technique. The flow field was analysed from flow visualization using top and side views and by measurements of the mean and instantaneous velocity fields, carried out using laser Doppler anemometry and particle image velocimetry. An instability domain, within the range of base flow parameters where the flow is known to be linearly stable, was found. The marginal ratio between the angular velocities of the inner and outer cylinders beyond which the flow is stable to finite-amplitude localized disturbances agrees with the theoretical prediction based on the measured mean flow in the region of the disturbance. The dependence of the hairpin's inclination angle on the ratio between the two angular velocities is fairly well predicted by the theoretical model.

Stability of rotating shear flows in shallow water

1992 ◽  
Vol 244 (-1) ◽  
pp. 605 ◽  
Author(s):  
Charles Knessl ◽  
Joseph B. Keller
Keyword(s):  
Shallow Water ◽  
Shear Flows ◽  
Rotating Shear Flows

Theory of stability of rotating shear flows

2007 ◽  
Vol 42 (3) ◽  
pp. 376-388 ◽  
Author(s):  
M. V. Kalashnik
Keyword(s):  
Shear Flows ◽  
Rotating Shear Flows

On the instability of rapidly rotating shear flows to non-axisymmetric disturbances

1968 ◽  
Vol 31 (3) ◽  
pp. 603-607 ◽  
Author(s):  
T. J. Pedley
Keyword(s):  
Growth Rate ◽  
Poiseuille Flow ◽  
Shear Flows ◽  
The Stability ◽  
Axisymmetric Disturbances ◽  
Rotating Shear Flows

The stability is considered of the flow with velocity components \[ \{0,\Omega r[1+O(\epsilon^2)],\;2\epsilon\Omega r_0f(r/r_0)\} \] (where f(x) is a function of order one) in cylindrical polar co-ordinates (r, ϕ, z), bounded by the rigid cylinders r/r0 = x1 and r/r0 = 1 (0 [les ] x1 < 1). When ε [Lt ] 1, the flow is shown to be unstable to non-axisymmetric inviscid disturbances of sufficiently large axial wavelength. The case of Poiseuille flow in a rotating pipe is considered in more detail, and the growth rate of the most rapidly growing disturbance is found to be 2εΩ.

scholarly journals Three-Dimensional Vortices Generated by Self-Replication in Stably Stratified Rotating Shear Flows

2013 ◽  
Vol 111 (8) ◽  
Author(s):  
Philip S. Marcus ◽  
Suyang Pei ◽  
Chung-Hsiang Jiang ◽  
Pedram Hassanzadeh
Keyword(s):  
Shear Flows ◽  
Three Dimensional ◽  
Self Replication ◽  
Rotating Shear Flows
Sign in / Sign up

Export Citation Format

Share Document