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arXiv · 0907.2013

An analytic relation for the thickness of accretion flows

Zhen-Yi Cai·Wei-Min Gu·Li Xue·Ju-Fu Lu
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Abstract

We take the vertical distribution of the radial and azimuthal velocity into account in spherical coordinates, and find that the analytic relation c_{s0}/(v_K \Theta) = [(\gamma -1)/(2\gamma)]^{1/2} is valid for both geometrically thin and thick accretion flows, where c_{s0} is the sound speed on the equatorial plane, v_K is the Keplerian velocity, \Theta is the half-opening angle of the flow, and \gamma is the adiabatic index.

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Zhen-Yi Cai, Wei-Min Gu, Li Xue, Ju-Fu Lu. 2009-07-12. An analytic relation for the thickness of accretion flows. https://doi.org/10.1007/s11433-010-0038-9

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