标题： 薄跨音速盘的内部结构 显示英文标题

标题： Internal structure of a thin transonic disk

摘要： 薄的跨音速吸积盘在最后稳定轨道（$r < 3r_{\rm g}$）内部围绕非旋转黑洞的内部结构在Grad-Shafranov方程的流体力学版本中被考虑。 显示在声表面附近发生盘厚度的急剧减小。 因此，在垂直平衡方程中动态力$\rho[({\bf v}\nabla){\bf v}]_{\theta}$变得重要，这些力在声表面上与压力梯度$\nabla_{\theta} P$同一数量级。 在超音速区域，盘的厚度由弹道轨迹的形状决定，而不是由压力梯度决定。 显示英文摘要

摘要： The internal structure of the thin transonic disk accreting onto a nonrotating black hole inside the last stable orbit ($r < 3r_{\rm g}$) is considered within the hydrodynamical version of the Grad-Shafranov equation. It is shown that in the vicinity of the sonic surface takes place a sharp diminishing of the disk thickness. As a result, in the vertical balance equation the dynamical forces $\rho[({\bf v}\nabla){\bf v}]_{\theta}$ become important, these on the sonic surface being of the same order as the pressure gradient $\nabla_{\theta} P$. In the supersonic region the thickness of the disk is determined by the form of ballistic trajectories rather than by the pressure gradient.