# High-speed standard magneto-rotational instability

@article{Deguchi2019HighspeedSM, title={High-speed standard magneto-rotational instability}, author={Kengo Deguchi}, journal={Journal of Fluid Mechanics}, year={2019}, volume={865}, pages={492 - 522} }

The large Reynolds number asymptotic approximations of the neutral curve of Taylor–Couette flow subject to an axial uniform magnetic field are analysed. The flow has been extensively studied since the early 1990s as the magneto-rotational instability (MRI) occurring in the flow may explain the origin of the instability observed in some astrophysical objects. Elsewhere, the ideal approximation has been used to study high-speed flows, which sometimes produces paradoxical results. For example…

## 2 Citations

### Analysis of azimuthal magnetorotational instability of rotating magnetohydrodynamic flows and Tayler instability via an extended Hain-Lüst equation.

- Physics, MathematicsPhysical review. E
- 2020

It is confirmed that in the limit of low magnetic Prandtl numbers, the rotating flows with radial distributions of the angular velocity beyond the Liu limit, become unstable subject to a wide variety of the azimuthal magnetic fields, and so is the Keplerian flow.

### Fully nonlinear mode competition in magnetised Taylor–Couette flow

- PhysicsJournal of Fluid Mechanics
- 2020

We study the nonlinear mode competition of various spiral instabilities in magnetised Taylor–Couette flow. The resulting finite-amplitude mixed-mode solution branches are tracked using the…

## References

SHOWING 1-10 OF 52 REFERENCES

### Magnetic instability in a sheared azimuthal flow

- Physics
- 2002

We study the magneto-rotational instability of an incompressible flow which rotates with angular velocity (r )= a + b=r 2 where r is the radius and a and b are constants. We nd that an applied…

### Helical magnetorotational instability in magnetized Taylor-Couette flow.

- Physics, GeologyPhysical review. E, Statistical, nonlinear, and soft matter physics
- 2006

It is shown that in the resistive limit, HMRI is a weakly destabilized inertial oscillation propagating in a unique direction along the axis, and features of HMRI that make it less attractive for experiments and for resistive astrophysical disks are reported.

### Magnetorotational instability of dissipative Couette flow

- PhysicsJournal of Fluid Mechanics
- 2002

Axisymmetric stability of viscous resistive magnetized Couette flow is re-examined, with the emphasis on flows that would be hydrodynamically stable according to Rayleigh's criterion: opposing…

### Inviscid helical magnetorotational instability in cylindrical Taylor-Couette flow.

- PhysicsPhysical review. E, Statistical, nonlinear, and soft matter physics
- 2011

This paper presents the analysis of axisymmetric helical magnetorotational instability (HMRI) in the inviscid limit, which is relevant for astrophysical conditions and finds that the extension of self-sustained HMRI modes beyond the Rayleigh limit does not reach the astrophysically relevant Keplerian rotation profile.

### Magnetorotational instability in Taylor-Couette flows between cylinders with finite electrical conductivity

- PhysicsGeophysical & Astrophysical Fluid Dynamics
- 2018

ABSTRACT The nonaxisymmetric azimuthal magnetorotational instability is studied for hydromagnetic Taylor-Couette flows between cylinders of finite electrical conductivity. We find that the magnetic…

### Magnetorotational Instability in Protoplanetary Disks. I. On the Global Stability of Weakly Ionized Disks with Ohmic Dissipation

- Physics, Geology
- 1999

We investigate the stability of uniformly magnetized accretion disks, including the effect of ohmic dissipation. The growth of axisymmetric local and global modes is examined using linear…

### Dynamo-generated Turbulence and Large-Scale Magnetic Fields in a Keplerian Shear Flow

- Physics
- 1995

The nonlinear evolution of magnetized Keplerian shear ows is simulated in a local, three-dimensional model, including the eeects of compressibility and stratiication. Supersonic ows are initially…

### The small magnetic Prandtl number approximation suppresses magnetorotational instability

- Physics
- 2006

Abstract.Axisymmetric stability of viscous resistive magnetized Couette flow is re-examined, with emphasis on flows that would be hydrodynamically stable according Rayleigh’s criterion: opposing…