An analytic relation for the thickness of accretion flows  

作　　者：CAI ZhenYi,GU WeiMin,XUE Li & LU JuFu Department of Physics and Institute of Theoretical Physics and Astrophysics,Xiamen University,Xiamen 361005,China 

出　　处：《Science China(Physics,Mechanics & Astronomy)》2010年第S1期82-85,共4页中国科学：物理学、力学、天文学（英文版）

基　　金：supported by the National Basic Research Program of China (Grant No. 2009CB824800);the National Natural Science Foundation of China (Grant Nos. 10778711 and 10833002)

摘　　要：We take the vertical distribution of the radial and azimuthal velocities into account in spherical coordinates,and find that the analytic relation cs0/υKΘ = [(γ-1)/2γ]1/2 is valid for both geometrically thin and thick accretion flows,where cs0 is the sound speed on the equatorial plane,υK is the Keplerian velocity,Θ is the half-opening angle of the flow,and γ is the adiabatic index.We take the vertical distribution of the radial and azimuthal velocities into account in spherical coordinates,and find that the analytic relation cs0/υKΘ = [(γ-1)/2γ]1/2 is valid for both geometrically thin and thick accretion flows,where cs0 is the sound speed on the equatorial plane,υK is the Keplerian velocity,Θ is the half-opening angle of the flow,and γ is the adiabatic index.

关 键 词：ACCRETION DISKS BLACK HOLE physics HYDRODYNAMICS 

分 类 号：P145.8[天文地球—天体物理]