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arXiv 1104.4077physics.flu-dynphysics.geo-ph
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带圆锥帽旋转圆柱环内的双扩散对流

Double-diffusive convection in a rotating cylindrical annulus with conical caps

R. D. Simitev

摘要:

双扩散对流驱动的热浮力和组成浮力在旋转的圆柱形环与圆锥形帽被认为是与目的建立是否一小部分的组成浮力添加到热浮力(反之亦然)可以显着降低临界瑞利数和放大行星核心的对流。它示出的中性表面描述的双浮力的情况下,对流的发病是本质上不同的研究的纯热的情况下,确实允许低瑞利数对流的可能性。特别是,孤立的岛屿的不稳定性形成的一个额外的“双扩散”本征模在某些区域的参数空间。然而,这种低瑞利数对流的振幅是相对较弱的。在类似的流量振幅纯成分和双扩散的情况下,其特征在于由一个更强的时间依赖性相比,纯热的情况下,和由一个canderde平均纬向流附近的内圆柱表面。行星核心对流的结果的影响进行了简要讨论。

英文摘要:

Double-diffusive convection driven by both thermal and compositional buoyancy in a rotating cylindrical annulus with conical caps is considered with the aim to establish whether a small fraction of compositional buoyancy added to the thermal buoyancy (or vice versa) can significantly reduce the critical Rayleigh number and amplify convection in planetary cores. It is shown that the neutral surface describing the onset of convection in the double-buoyancy case is essentially different from that of the well-studied purely thermal case, and does indeed allow the possibility of low-Rayleigh number convection. In particular, isolated islands of instability are formed by an additional "double-diffusive" eigenmode in certain regions of the parameter space. However, the amplitude of such low-Rayleigh number convection is relatively weak. At similar flow amplitudes purely compositional and double-diffusive cases are characterized by a stronger time dependence compared to purely thermal cases, and by a prograde mean zonal flow near the inner cylindrical surface. Implications of the results for planetary core convection are briefly discussed.

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