Resonance in magnetic cavities

A magnetic field generated in an object may shield it from an incoming flow and create a magnetic cavity. Localized perturbations of this magnetic field may travel to the cavity boundary and modify it. Usually the size of these modifications does not exceed the original one, but magnetohydrodynamic...

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Bibliographic Details
Published in:International journal of non-linear mechanics 2023-12, Vol.157, p.104537, Article 104537
Main Author: Núñez, Manuel
Format: Article
Language:English
Subjects:
Alfvén resonance
Bessel function
Linear perturbation
Magnetic cavity
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Summary:A magnetic field generated in an object may shield it from an incoming flow and create a magnetic cavity. Localized perturbations of this magnetic field may travel to the cavity boundary and modify it. Usually the size of these modifications does not exceed the original one, but magnetohydrodynamic resonance may occur within the cavity and increase this size. Alfvén resonance may create this effect in incompressible fluids, but sound resonance in compressible ones may not. Also the consequences for subsonic flows may be out of proportion to the original perturbation, effectively destroying the cavity; this does not occur for supersonic flows, which are more stable. •The different types of MHD resonance in a magnetic cavity are detailed.•The equations of the linearized approximation are studied in the vicinity of resonant points.•Asymptotic mathematical solutions are found.•The consequences for the stability of the magnetic cavity are explained.
ISSN:0020-7462
1878-5638
DOI:10.1016/j.ijnonlinmec.2023.104537