Magnetic Taylor-Proudman Constraint Explains Flows into the Tangent Cylinder

Alban Potherat, Kelig Aujogue, Francois Debray

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1 Citation (Scopus)
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Abstract

Tangent Cylinders (TCs) have shaped our understanding of planetary dynamos and liquid cores. the Taylor-Proudman Constraint (TPC) due to planetary rotation creates these imaginary surfaces separating polar and equatorial regions but cannot explain the flows meandering through them. Here we establish and verify experimentally that magnetic fields aligned with rotation drive flows into TCs, linked to the flows along TCs by a magnetic Taylor-Proudman constraint. This constraint explains and quantifies how magnetic fields reshape rotating flows in planetary interiors and magnetorotating flows in general.
Original languageEnglish
Article number184101
Number of pages6
JournalPhysical Review Letters
Volume133
DOIs
Publication statusPublished - 31 Oct 2024

Bibliographical note

Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI.

Funder

The authors are grateful to the European Magnetic Field Laboratory (EMFL) and the Laboratoire des Champs Magn´ etiques Intense-Grenoble (CNRS) for support and access to unique magnets with high magnetic f ield in sufficiently large bores to conduct fluid mechanics experiments. Subscription to EMFL is funded by EPSRCgrant no. NS/A000060/1. This work was supported by Leverhulme Trust grants no. RPG-2012-456 and no. RPG-2017-366, and EPSRC grant no. EP/X010937/1. No Artificial Intelligence technology was used in this work, besides spell-checking.

Funding

The authors are grateful to the European Magnetic Field Laboratory (EMFL) and the Laboratoire des Champs Magn´ etiques Intense-Grenoble (CNRS) for support and access to unique magnets with high magnetic f ield in sufficiently large bores to conduct fluid mechanics experiments. Subscription to EMFL is funded by EPSRCgrant no. NS/A000060/1. This work was supported by Leverhulme Trust grants no. RPG-2012-456 and no. RPG-2017-366, and EPSRC grant no. EP/X010937/1. No Artificial Intelligence technology was used in this work, besides spell-checking.

FundersFunder number
CNRS Centre National de la Recherche Scientifique
Laboratoire des Champs Magnetiques Intense-Grenoble
Engineering and Physical Sciences Research CouncilNS/A000060/1
Engineering and Physical Sciences Research Council
Leverhulme TrustRPG-2012-456, RPG-2017-366, EP/X010937/1
Leverhulme Trust

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