An analytic relation for the thickness of accretion flows

2009/07/12 by Zhen-Yi Cai, Wei-Min Gu, Wei‐Min Gu +4 · 2 citations
Mathematics · Physics and Astronomy · #Accretion (finance) #Astrophysical Phenomena and Observations #Astrophysics #Computer science #Data mining #Galaxies: Formation, Evolution, Phenomena #Geology #Mathematics #Physics #Pulsars and Gravitational Waves Research #Relation (database) #astro-ph.HE

paper · pdf · doi:10.1007/s11433-010-0038-9

published in Science in China. Series G, Physics, mechanics & astronomy/Science in China. Series G, Physics, Mechanics & Astronomy 53(S1), 82-85 (Chinese Academy of Sciences) · 4 pages, 2 figures, accepted by Science in China Series G

arxiv created 2009/07/12 · openalex publication_date 2010/01/01 · arxiv updated 2014/11/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

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 Θ) = [(γ-1)/(2γ)]^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, Θis the half-opening angle of the flow, and γis the adiabatic index.

Citations

• Advection-dominated Accretion: From Sgr A* to other Low-luminosity AGNs
• Extreme slim accretion disks and narrow line Seyfert 1 galaxies: The nature of the soft X-ray hump
• Three-dimensional structure of an alpha accretion disk