Latitudinal regionalization of rotating spherical shell convection

نویسندگان

چکیده

Convection occurs ubiquitously on and in rotating geophysical astrophysical bodies. Prior spherical shell studies have shown that the convection dynamics polar regions can differ significantly from lower latitude, equatorial dynamics. Yet most convective scaling laws use globally-averaged quantities erase latitudinal differences physics. Here we quantify those by analyzing simulations terms of their regionalized heat transfer properties. This is done measuring local Nusselt numbers two specific, latitudinally separate, portions shell, regions, $Nu_p$ $Nu_e$, respectively. In shells, first sets outside tangent cylinder such dominates at small moderate supercriticalities. We show buoyancy forcing, parameterized Rayleigh number $Ra$, must exceed critical forcing a factor $\approx 20$ to trigger within cylinder. Once triggered, increases with $Ra$ much faster than does $Nu_e$. The fluxes then tend become comparable sufficiently high $Ra$. Comparisons between data Cartesian numerical reveal quantitative agreement geometries averaged bulk temperature gradient. indicates are accessible both through via reduced investigatory pathways, be they theoretical, or experimental.

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ژورنال

عنوان ژورنال: Journal of Fluid Mechanics

سال: 2023

ISSN: ['0022-1120', '1469-7645']

DOI: https://doi.org/10.1017/jfm.2022.1010