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arXiv 0802.1679astro-ph
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对流占优吸积流的简化整体解

A simplified global solution for an advection-dominated accretion flow

Feng Yuan, Renyi Ma, Ramesh Narayan

摘要:

当我们将活动星系核和黑洞X射线双星等黑洞吸积源模型化为对流主导吸积流时,由于自相似解在黑洞附近区域不准确,因此需要使用方程的整体解而不是简单的自相似解.然而,由于跨音速流动的性质,使其成为一个两点边值问题,从技术上讲,计算整体解是一项困难的任务。在本文中,我们提出了一个简化的方法来计算全球ADAF解决方案。我们用气体的角速度和开普勒角速度之间的简单代数关系代替径向动量方程,同时保持所有其他方程不变。然后很容易求解微分能量方程,以获得近似的整体解。通过调整自由参数,我们发现对于几乎任何的吸积率和$α=0.1-0.3$,我们都可以得到很好的简化整体解。从近似解的预测谱是非常接近的光谱从真正的整体解决方案。

英文摘要:

When we model black hole accretion sources such as active galactic nuclei and black hole X-ray binaries as advection-dominated accretion flows (ADAFs), it is neccesary to use the global solution to the equations rather than the simpler self-similar solution, since the latter is inaccurate in the region near the black hole where most of the radiation is emitted. However, technically, it is a difficult task to calculate the global solution because of the transonic nature of the flow, which makes it a two-point boundary value problem. In this paper we propose a simplified approach for calculating the global ADAF solution. We replace the radial momentum equation by a simple algebraic relation between the angular velocity of the gas and the Keplerian angular velocity, while keeping all other equations unchanged. It is then easy to solve the differential energy equations to obtain an approximate global solution. By adjusting the free parameters, we find that for almost any accretion rate and for $α=0.1-0.3$ we can get good simplified global solutions. The predicted spectra from the approximate solutions are very close to the spectra obtained from the true global solutions.

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