Convection in Spherical Shells

Francesca Coke and William Seeley (University of Glasgow)

Wednesday 5th March 15:00-16:00 Maths 311B

Abstract

The onset of convection in spherical shells has been extensively studied due to its profound effects on planetary and stellar interiors and geophysical dynamics. In this talk, we will explain the governing equations in detail, allowing for the numerical calculation of critical Rayleigh numbers for various systems using a linear Boussinesq fluid model. We have also investigated the effects of Ekman and Prandtl numbers, boundary conditions, heating cases, and radius ratio on the critical Rayleigh number, looking to approximate known scaling laws and compare them with previously studied data.

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