Self-similar Solution of Rotating Eruptive Outflows on Its Equatorial Plane
Self-similar Solution of Rotating Eruptive Outflows on Its Equatorial Plane
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DOI：
10.3847/1538-4357/aca095
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发表时间：
2022-11
期刊：
影响因子：
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通讯作者：
Takatoshi Ko;K. Fujisawa;T. Shigeyama
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文献类型：
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作者：
Takatoshi Ko;K. Fujisawa;T. Shigeyama
我们构建了从点源发出的跨音速流出的轴对称自相似解，包括旋转的影响。这些解决方案仅在赤道平面上构建。解的特征由三个参数决定：绝热指数γ、跨音速点的无量纲坐标和跨音速点的无量纲方位角速度。我们根据渐近行为将解分为五组。我们发现自相似解的行为在 γ = 11/9 时发生变化。此外，一些解决方案显示出双幂律密度分布，这通常在双星合并或类新星爆炸的喷射物中看到。因此，我们的自相似解决方案不仅可以应用于从中心旋转物体吹出的流出物，还可以应用于双星合并或类新星爆炸喷出的喷射物。
We construct axisymmetric self-similar solutions of transonic outflows emanating from a point source including the effect of the rotation. The solutions are constructed exclusively on the equatorial plane. The features of solutions are determined by three parameters: the adiabatic index γ, the dimensionless coordinate of the transonic point, and the dimensionless azimuthal velocity at the transonic point. We classify the solutions into five groups according to asymptotic behaviors. We find that the behaviors of the self-similar solutions change at γ = 11/9. In addition, some solutions show double-power-law density profiles, which are usually seen in ejecta from a binary merger or nova-like explosion. Thus, our self-similar solutions can be applied not only to the outflow blowing from the central spinning objects but also to the ejecta erupted from the binary merger or nova-like explosion.