层流开普勒薄圆盘中的粘性对流不稳定性。II。滞弹性近似
A viscous-convective instability in laminar Keplerian thin discs. II. Anelastic approximation
摘要：
利用线性化流体动力学方程的滞弹性近似，我们研究了薄开普勒圆盘中轴对称小扰动的发展。六阶色散方程的推导和数值求解的相关物理参数（粘度，导热系数，光盘半厚度和垂直结构）的不同值。分析表明，在电离和中性气体中，在很宽的参数范围内，从经典的瑞利惯性模分裂出两个超稳模。这些模式具有粘性对流性质，即使在没有磁场的情况下，也可以作为天体物理盘中湍流的种子。
英文摘要：
Using the anelastic approximation of linearised hydrodynamic equations, we investigate the development of axially symmetric small perturbations in thin Keplerian discs. The sixth-order dispersion equation is derived and numerically solved for different values of relevant physical parameters (viscosity, heat conductivity, disc semi-thickness and vertical structure). The analysis reveals the appearance of two overstable modes which split out from the classical Rayleigh inertial modes in a wide range of the parameters in both ionized and neutral gases. These modes have a viscous-convective nature and can serve as a seed for turbulence in astrophysical discs even in the absence of magnetic fields.
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