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arXiv 1111.7302astro-ph.HEastro-ph.GA
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粘性和电阻性ADAF的自相似解

Self-Similar Solutions for Viscous and Resistive ADAF

Kazem Faghei

摘要:

本文研究了纯方位磁场作用下电阻平流主导吸积流(ADAF)的自相似解。能量耗散的机制被认为是由于在吸积流湍流的粘性和磁扩散率。假设磁扩散率和运动粘度不是常数,而是随位置而变化,并对它们使用$α$ -处方。为了求解控制吸积流行为的积分方程,采用了自相似方法。结果表明,吸积流的结构与磁场和磁扩散率有关。随着径向入流速度的增大,旋转速度减小,温度升高。此外,磁扩散率和磁场的所有选定值的旋转速度是次开普勒。结果表明,存在一定量的磁场使流体的旋转速度为零。该磁场的量取决于盘的气体性质,例如绝热指数和粘度、磁扩散率和平流参数。结果表明,随着磁扩散率的增加,质量吸积率增大;在高磁压情况下,质量吸积率与Bondi吸积率的比值随着磁场的增大而减小.此外,基于电阻率的Lundquist数和磁雷诺数的研究表明,磁旋转不稳定性(MRI)的流动的线性增长的电阻率降低。这个属性是定性一致的电阻磁流体动力学(MHD)模拟。

英文摘要:

In this paper, the self-similar solution of resistive advection dominated accretion flows (ADAF) in the presence of a pure azimuthal magnetic field is investigated. The mechanism of energy dissipation is assumed to be the viscosity and the magnetic diffusivity due to turbulence in the accretion flow. It is assumed that the magnetic diffusivity and the kinematic viscosity are not constant and vary by position and $α$-prescription is used for them. In order to solve the integrated equations that govern the behavior of the accretion flow, a self-similar method is used. The solutions show that the structure of accretion flow depends on the magnetic field and the magnetic diffusivity. As, the radial infall velocity and the temperature of the flow increase, and the rotational velocity decreases. Also, the rotational velocity for all selected values of magnetic diffusivity and magnetic field is sub-Keplerian. The solutions show that there is a certain amount of magnetic field that the rotational velocity of the flow becomes zero. This amount of the magnetic field depends on the gas properties of the disc, such as adiabatic index and viscosity, magnetic diffusivity, and advection parameters. The solutions show the mass accretion rate increases by adding the magnetic diffusivity and in high magnetic pressure case, the ratio of the mass accretion rate to the Bondi accretion rate decreases as magnetic field increases. Also, the study of Lundquist and magnetic Reynolds numbers based on resistivity indicates that the linear growth of magnetorotational instability (MRI) of the flow decreases by resistivity. This property is qualitatively consistent with resistive magnetohydrodynamics (MHD) simulations.

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