Calkins, MA, Long, L, Nieves, D et al. (2 more authors) (2016) Convection-driven kinematic dynamos at low Rossby and magnetic Prandtl numbers. Physical Review Fluids, 1 (8). 083701. ISSN 2469-990X
Abstract
Most large-scale planetary magnetic fields are thought to be driven by low Rossby number convection of a low magnetic Prandtl number fluid. Here kinematic dynamo action is investigated with an asymptotic, rapidly rotating dynamo model for the plane layer geometry that is intrinsically low magnetic Prandtl number. The thermal Prandtl number and Rayleigh number are varied to illustrate fundamental changes in flow regime, ranging from laminar cellular convection to geostrophic turbulence in which an inverse energy cascade is present. A decrease in the efficiency of the convection to generate a dynamo, as determined by an increase in the critical magnetic Reynolds number, is observed as the buoyancy forcing is increased. This decreased efficiency may result from both the loss of correlations associated with the increasingly disordered states of flow that are generated, and boundary layer behavior that enhances magnetic diffusion locally. We find that the spatial characteristics of the large-scale magnetic field is dependent only weakly on changes in flow behavior. In contrast, the behavior of the small-scale magnetic field is directly dependent on, and therefore shows significant variations with, the small-scale convective flow field. However, our results are limited to the linear, kinematic dynamo regime; future simulations that include the Lorentz force are therefore necessary to assess the robustness of these results.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © 2016, American Physical Society. This is an author produced version of a paper accepted for publication in Physical Review Fluids. Uploaded in accordance with the publisher's self-archiving policy. |
Dates: |
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Institution: | The University of Leeds |
Academic Units: | The University of Leeds > Faculty of Engineering & Physical Sciences (Leeds) > School of Mathematics (Leeds) > Applied Mathematics (Leeds) |
Depositing User: | Symplectic Publications |
Date Deposited: | 27 Oct 2016 11:57 |
Last Modified: | 14 Apr 2017 14:58 |
Published Version: | https://doi.org/10.1103/PhysRevFluids.1.083701 |
Status: | Published |
Publisher: | American Physical Society |
Identification Number: | 10.1103/PhysRevFluids.1.083701 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:106615 |