完全层结斜压圆盘的对流稳定性
The convective stability of fully stratified baroclinic discs
摘要：
我们研究了在局部近似和存在热扩散（或弛豫）的流体动力盘的对流稳定性与充分分层。讨论了Urpin（2003）导出的相关轴对称色散关系的各个分支。我们发现，当垂直Richardson数大于或等于径向（即$|Ri_z|\geq|Ri_x|$）和波数是可比的（即$|k_x|\sim|k_z|$）光盘变得不稳定，即使在径向和垂直分层与$Ri_x>0$和$Ri_z>0$的存在。这一现象的起源在于径向-垂直混合理查森数。我们提出了一个平衡的配置文件与温度依赖于径向和垂直坐标和$Ri_z>0$，这种不稳定的机制发生。我们还注意到，“对流超稳定性”的色散关系是这里讨论的极限$|k_z|\gg|k_x|$（i. e.二维盘）。
英文摘要：
We examine the convective stability of hydrodynamic discs with full stratification in the local approximation and in the presence of thermal diffusion (or relaxation). Various branches of the relevant axisymmetric dispersion relation derived by Urpin (2003) are discussed. We find that when the vertical Richardson number is larger than or equal to the radial one (i.e. $|Ri_z|\geq|Ri_x|$) and wavenumbers are comparable (i.e. $|k_x|\sim|k_z|$) the disc becomes unstable, even in the presence of radial and vertical stratifications with $Ri_x>0$ and $Ri_z>0$. The origin of this resides in an hybrid radial-vertical Richardson number. We propose an equilibrium profile with temperature depending on the radial and vertical coordinates and with $Ri_z>0$ for which this destabilization mechanism occurs. We notice as well that the dispersion relation of the "convective overstability" is the branch of the one here discussed in the limit $|k_z|\gg|k_x|$ (i. e. two-dimensional disc).
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
