Scaling relationships and physics for mixed heating convection in planetary interiors: Isoviscous spherical shells

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dc.citation.firstpage7598en_US
dc.citation.issueNumber10en_US
dc.citation.journalTitleJournal of Geophysical Research: Solid Earthen_US
dc.citation.lastpage7617en_US
dc.citation.volumeNumber121en_US
dc.contributor.authorWeller, Matthew B.en_US
dc.contributor.authorLenardic, Adrianen_US
dc.contributor.authorMoore, William B.en_US
dc.contributor.orgEarth, Environmental and Planetary Sciencesen_US
dc.contributor.orgLunar and Planetary Instituteen_US
dc.date.accessioned2017-05-19T19:09:40Zen_US
dc.date.available2017-05-19T19:09:40Zen_US
dc.date.issued2016en_US
dc.description.abstractWe use a suite of 3-D numerical experiments to test and expand 2-D planar isoviscous scaling relationships of Moore (2008) for mixed heating convection in spherical geometry mantles over a range of Rayleigh numbers (Ra). The internal temperature scaling of Moore (2008), when modified to account for spherical geometry, matches our experimental results to a high degree of fit. The heat flux through the boundary layers scale as a linear combination of internal (Q) and basal heating, and the modified theory predictions match our experimental results. Our results indicate that boundary layer thickness and surface heat flux are not controlled by a local boundary layer stability condition (in agreement with the results of Moore (2008)) and are instead strongly influenced by boundary layer interactions. Subadiabatic mantle temperature gradients, in spherical 3-D, are well described by a vertical velocity scaling based on discrete drips as opposed to a scaling based on coherent sinking sheets, which was found to describe 2-D planar results. Root-mean-square (RMS) velocities are asymptotic for both low Q and high Q, with a region of rapid adjustment between asymptotes for moderate Q. RMS velocities are highest in the low Q asymptote and decrease as internal heating is applied. The scaling laws derived by Moore (2008), and extended here, are robust and highlight the importance of differing boundary layer processes acting over variable Q and moderate Ra.en_US
dc.identifier.citationWeller, Matthew B., Lenardic, Adrian and Moore, William B.. "Scaling relationships and physics for mixed heating convection in planetary interiors: Isoviscous spherical shells." <i>Journal of Geophysical Research: Solid Earth,</i> 121, no. 10 (2016) Wiley: 7598-7617. https://doi.org/10.1002/2016JB013247.en_US
dc.identifier.doihttps://doi.org/10.1002/2016JB013247en_US
dc.identifier.urihttps://hdl.handle.net/1911/94298en_US
dc.language.isoengen_US
dc.publisherWileyen_US
dc.rightsArticle is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.en_US
dc.titleScaling relationships and physics for mixed heating convection in planetary interiors: Isoviscous spherical shellsen_US
dc.typeJournal articleen_US
dc.type.dcmiTexten_US
dc.type.publicationpublisher versionen_US
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