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Stratified Resistive Tearing Instability

Lookup NU author(s): Scott HopperORCiD, Dr Toby WoodORCiD, Professor Paul BushbyORCiD

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This work is licensed under a Creative Commons Attribution 4.0 International License (CC BY 4.0).

Abstract

© The Author(s), 2024. Resistive tearing instabilities are common in fluids that are highly electrically conductive and carry strong currents. We determine the effect of stable stratification on the tearing instability under the Boussinesq approximation. Our results generalise previous work that considered only specific parameter regimes, and we show that the length scale of the fastest-growing mode depends non-monotonically on the stratification strength. We confirm our analytical results by solving the linearised equations numerically, and we discuss whether the instability could operate in the solar tachocline.

Publication metadata

Author(s): Hopper SJ, Wood TS, Bushby PJ

Publication type: Article

Publication status: Published

Journal: Journal of Fluid Mechanics

Year: 2024

Volume: 994

Online publication date: 18/09/2024

Acceptance date: 31/07/2024

Date deposited: 05/08/2024

ISSN (print): 0022-1120

ISSN (electronic): 1469-7645

Publisher: Cambridge University Press

URL: https://doi.org/10.1017/jfm.2024.621

DOI: 10.1017/jfm.2024.621

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Funding

Funder referenceFunder name
Leverhulme Trust (Research Project Grant RPG-2020-109)
Science and Technology Facilities Council (ST/W001020/1)

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