Barker, AJ orcid.org/0000-0003-4397-7332 and Astoul, AAV (2021) On the interaction between fast tides and convection. Monthly Notices of the Royal Astronomical Society: Letters, 506 (1). L69-L73. ISSN 1745-3925
Abstract
The interaction between equilibrium tides and convection in stellar envelopes is often considered important for tidal evolution in close binary and extrasolar planetary systems. Its efficiency for fast tides has however long been controversial, when the tidal frequency exceeds the turnover frequency of convective eddies. Recent numerical simulations indicate that convection can act like an effective viscosity which decays quadratically with tidal frequency for fast tides, resulting in inefficient dissipation in many applications involving pre- and main-sequence stars and giant planets. A new idea was however recently proposed by Terquem (2021), who suggested Reynolds stresses involving correlations between tidal flow components dominate the interaction instead of correlations between convective flow components as usually assumed. They further showed that this can potentially significantly enhance tidal dissipation for fast tides in many applications. Motivated by the importance of this problem for tidal dissipation in stars and planets, we directly compute this new term using analytical arguments and global spherical simulations using Boussinesq and anelastic hydrodynamic models. We demonstrate that the new term proposed by Terquem vanishes identically for equilibrium tides interacting with convection in both Boussinesq and anelastic models; it is therefore unlikely to contribute to tidal dissipation in stars and planets.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © 2021 The Author(s). Published by Oxford University Press on behalf of Royal Astronomical Society. This is an author produced version of a letter published in Monthly Notices of the Royal Astronomical Society: Letters. Uploaded in accordance with the publisher's self-archiving policy. |
Keywords: | convection, planet–star interactions, planetary systems, stars: solar-type |
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) |
Funding Information: | Funder Grant number STFC (Science and Technology Facilities Council) ST/R00059X/1 STFC (Science and Technology Facilities Council) ST/S000275/1 |
Depositing User: | Symplectic Publications |
Date Deposited: | 14 Jul 2021 15:12 |
Last Modified: | 27 Sep 2021 19:56 |
Status: | Published |
Publisher: | Oxford University Press |
Identification Number: | 10.1093/mnrasl/slab077 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:175958 |