What question did this study set out to answer?

To determine the axisymmetric linear stability of viscous, resistive magnetized Couette flow in hydrodynamically stable regimes and assess the feasibility of experimental magnetorotational instability detection.

July 10, 2002Journal of Fluid MechanicsOpen Access

Magnetorotational instability of dissipative Couette flow

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To determine the axisymmetric linear stability of viscous, resistive magnetized Couette flow in hydrodynamically stable regimes and assess the feasibility of experimental magnetorotational instability detection.
Formulated and solved global linear eigenvalue modes across a wide-gap geometry incorporating realistic fluid viscosity and electrical resistivity.
Derived marginal stability systems in the inviscid limit and viscous regime, comparing boundary condition effects against WKB asymptotic approximations.
Demonstrated that a full tenth-order differential system is necessary to describe viscous marginal modes, whereas simplified eighth-order approximations fail to capture magnetorotational instability.
Identified that peak perturbation growth rates are insensitive to conducting boundary conditions and are closely predicted by WKB methods.
Established that magnetorotational instability is experimentally achievable under accessible laboratory parameters using liquid metals such as gallium.

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Implication

Linear stability analysis demonstrates viable magnetorotational instability in dissipative Couette flow, indicating that laboratory detection is feasible using liquid gallium.

Cite This Study

A 2002 study studied this question.

synapsesocial.com/papers/6a9fb7b400f21bf9f8ec6eed https://doi.org/10.1017/s0022112002008704

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Implication

Linear stability analysis demonstrates viable magnetorotational instability in dissipative Couette flow, indicating that laboratory detection is feasible using liquid gallium.

Magnetorotational instability of dissipative Couette flow

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Discussion

Implication

Cite This Study

Magnetorotational instability of dissipative Couette flow

Key Points

Discussion

Implication

Cite This Study

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