An analytic relation for the thickness of accretion flows

Astronomy and Astrophysics – Astrophysics – High Energy Astrophysical Phenomena

Scientific paper

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4 pages, 2 figures, accepted by Science in China Series G

Scientific paper

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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