An alpha theory of time‐dependent warped accretion discs
An alpha theory of time‐dependent warped accretion discs
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随时间变化的扭曲吸积盘的阿尔法理论
DOI：
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发表时间：
2000
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通讯作者：
G. Ogilvie
中科院分区：
文献类型：
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作者：
G. Ogilvie
在较早的一篇论文中，通过发展薄而粘性圆盘中的完全非线性弯曲波理论，研究了翘曲吸积盘的非线性流体动力学。通过求解包含粘性耗散和辐射输运的能量方程，将该分析扩展到适当考虑热和辐射效应。问题归结为简单的一维质量和角动量演化方程，用物理单位表示，适合直接应用。这一结果构成了Shakura&Sunyaev的α理论在含时翘曲吸积盘情况下的逻辑推广。本文还研究了这种圆盘的局部热粘性稳定性。
The non-linear fluid dynamics of a warped accretion disc was investigated in an earlier paper by developing a theory of fully non-linear bending waves in a thin, viscous disc. That analysis is extended here to take proper account of thermal and radiative effects by solving an energy equation that includes viscous dissipation and radiative transport. The problem is reduced to simple one-dimensional evolutionary equations for mass and angular momentum, expressed in physical units and suitable for direct application. This result constitutes a logical generalization of the alpha theory of Shakura & Sunyaev to the case of a time-dependent warped accretion disc. The local thermal–viscous stability of such a disc is also investigated.