Linking dissipation-induced instabilities with nonmodal growth: the case of helical magnetorotational instability

Abstract

The helical magnetorotational instability is known to work for resistive rotational flows with comparably steep negative or extremely steep positive shear. The corresponding lower and upper Liu limits of the shear are continuously connected when some axial electrical current is allowed to flow through the rotating fluid. Using a local approximation we demonstrate that the magnetohydrodynamic behavior of this dissipation-induced instability is intimately connected with the nonmodal growth and the pseudospectrum of the underlying purely hydrodynamic problem.

5 pages, 4 figures

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Cited by in corpus (7)

• Stability and instability of hydromagnetic Taylor-Couette flows
• Zero net flux MRI-turbulence in disks $-$ sustenance scheme and magnetic Prandtl number dependence
• Two types of axisymmetric helical magnetorotational instability in rotating flows with positive shear
• Quasi-two-dimensional nonlinear evolution of helical magnetorotational instability in a magnetized Taylor-Couette flow
• Magnetic field dynamos and magnetically triggered flow instabilities
• Laboratory experiments on dynamo action and magnetically triggered flow instabilities
• Laboratory experiments and numerical simulations on magnetic instabilities