【直播】【上海天文台天体物理学术报告】中国科学院上海天文台孔大力研究员
报告名称:
The onset of thermal instabilities in rapidly rotating self-gravitating oblate spheroidal fluid
报告时间:
2023年2月16日 (周四) 15:00
报告嘉宾:
孔大力 研究员 中国科学院上海天文台
主办单位:
中科院上海天文台
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报告人介绍
孔大力 研究员
中国科学院上海天文台
报告简介
Motivated by its applications in planetary and stellar physics, the problem of convective instability in rapidly rotating, self-gravitating fluid bodies has been widely modeled in spheres or spherical shells, which implicitly neglects the flattening effect due to the centrifugal force. In this presentation, by self-consistently considering the centrifugal force, rapidly rotating stably stratified Boussinesq fluid is firstly modeled in oblate spheroidal cavities whose geometric shapes are determined by the theory of figure. A closed-form solution is obtained for gravity and temperature. Based on this nonspherical model of the conduction state, the problem of thermal instabilities is formulated in the regime of inertial convection, which is marked by an asymptotically small Ekman number and a sufficiently small Prandtl number. The critical properties of inertial modes are explicitly derived. The dependence of the onset of thermal inertial convection on the oblateness of the spheroid is systematically explored. A significant discovery is that the globally most unstable mode could switch from a non-axisymmetric quasi-geostrophic wave to an equatorially symmetric zonal oscillation when the rotational flattening effect gets very strong. This was the only form of global convection not found so far.
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