The influence of magnetic fields and electrical conductivity variations on vortex formation

磁场和电导率变化对涡流形成的影响

• 批准号: 2881746
• 金额: --
• 依托单位: University of Leeds
• 依托单位国家: 英国
• 项目类别: Studentship
• 财政年份: 2023
• 资助国家: 英国
• 起止时间: 2023 至 无数据
• 项目状态: 未结题
• 来源: https://gtr.ukri.org/projects?ref=studentship-2881746
• 关键词: influence; magnetic; fields; electrical; conductivity

Recent missions to Saturn and Jupiter have produced striking images of vortices at the poles of both planets. How these vortices arise, and what determines their size, are therefore topics of great research interest. This project will concentrate on the influence of the magnetic field on vortex formation and structure, paying particular attention to the sharp decrease in electrical conductivity close to the surfaces of the gas giant planets. One of the key aims of the project will be to determine whether the magnetic field is the defining element in determining the radial extent of the vortices.The project will start by considering the role of spatially variable electrical conductivity (and hence magnetic diffusivity) in the classical problem of the linear stability of magnetoconvection, initially without rotation, with the aim of investigating the problem in both the Boussinesq and anelastic regimes. The influence of rotation, which is decidedly non-trivial, will then be introduced. We shall be particularly interested in the competition between steady and oscillatory modes of instability. The final part of the project will be to consider the role of vortex formation in rotating convection - a nonlinear phenomenon, that will be studied computationally - to investigate the influence of the magnetic field and the role of the spatially-dependent magnetic diffusivity.

最近对土星和木星的探测任务已经在这两颗行星的两极产生了引人注目的漩涡图像。因此，这些漩涡如何产生，以及是什么决定了它们的大小，是非常有研究兴趣的话题。该项目将集中研究磁场对涡旋形成和结构的影响，特别注意气体巨行星表面附近电导率的急剧下降。该项目的主要目标之一是确定磁场是否是决定涡旋径向范围的决定因素。该项目将首先考虑空间可变电导率的作用（因此磁扩散率）在磁对流的线性稳定性的经典问题中，最初没有旋转，的目的是调查的问题，在Boussinesq和滞弹性制度。旋转的影响，这是决定性的非平凡的，然后将被介绍。我们将特别感兴趣的是定常和振荡不稳定模式之间的竞争。该项目的最后一部分将考虑旋转对流中涡旋形成的作用-一种非线性现象，将通过计算进行研究-以研究磁场的影响和空间相关磁扩散率的作用。