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.
Categories: astro-ph.HE