arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 0911.4891astro-ph.GAastro-ph.EP
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有边界气体介质中的动摩擦

On dynamical friction in a gaseous medium with a boundary

Fathi Namouni

摘要:

动力学摩擦是由扰动物和它在周围介质中激发的引力尾流的相互作用引起的。本文通过解析地研究在具有反射平面边界的均匀介质中,扰动与匀速直线运动的相互作用,研究了边界的存在对动力摩擦的影响。在介质边界的尾流反射可能发生在被行星或恒星同伴扰动的截断盘的边缘,以及在无流出边界条件的行星-盘相互作用的数值模拟中。在本文中,我们表明,边界的存在下修改的动态摩擦行为显着。我们发现,扰动总是被推离边界,并达到一个终端亚音速速度附近的马赫数0.37,无论初始速度。当马赫数小于0.37时,动摩擦甚至可以反向,从而使扰动器加速而不是减速。平行于边界移动的扰动感受到与运动方向正交的额外摩擦,该摩擦比沿运动方向的标准摩擦强得多。这些结果表明,通常使用的标准Eschrasekhar公式作为一个简短的手估计的动态摩擦可能是不够的,在各种数值模拟中观察到的。

英文摘要:

Dynamical friction arises from the interaction of a perturber and the gravitational wake it excites in the ambient medium. We study the effects of the presence of a boundary on dynamical friction by studying analytically the interaction of perturber with uniform rectilinear motion in a uniform homogeneous medium with a reflecting planar boundary. Wake reflection at a medium's boundary may occur at the edges of truncated disks perturbed by planetary or stellar companions as well as in numerical simulations of planet-disk interaction with no-outflow boundary conditions. In this paper, we show that the presence of the boundary modifies the behaviour of dynamical friction significantly. We find that perturbers are invariably pushed away from the boundary and reach a terminal subsonic velocity near Mach 0.37 regardless of initial velocity. Dynamical friction may even be reversed for Mach numbers less than 0.37 thereby accelerating instead of decelerating the perturber. Perturbers moving parallel to the boundary feel additional friction orthogonal to the direction of motion that is much stronger than the standard friction along the direction of motion. These results indicate that the common use of the standard Chandrasekhar formula as a short hand estimate of dynamical friction may be inadequate as observed in various numerical simulations.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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