1999
DOI: 10.1086/306591
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Jets from Time‐dependent Accretion Flows onto a Black Hole

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Cited by 27 publications
(40 citation statements)
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“…They argued that the instability occurs owing to the energy input through the displacement of the shock wave, where the jump of the fluid density and displacement of the shock surface releasethe potential energy that amplifies the perturbations in the postshock flow. These results were later confirmed by Chakrabarti & Molteni (1993) and Nobuta & Hanawa (1994) through numerical simulations, assuming adiabatic flows with Rankine-Hugoniot standing shock waves and isothermal flows with isothermal standing shock waves, respectively.…”
Section: Introductionmentioning
confidence: 57%
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“…They argued that the instability occurs owing to the energy input through the displacement of the shock wave, where the jump of the fluid density and displacement of the shock surface releasethe potential energy that amplifies the perturbations in the postshock flow. These results were later confirmed by Chakrabarti & Molteni (1993) and Nobuta & Hanawa (1994) through numerical simulations, assuming adiabatic flows with Rankine-Hugoniot standing shock waves and isothermal flows with isothermal standing shock waves, respectively.…”
Section: Introductionmentioning
confidence: 57%
“…Furthermore, shock stability analysis for thin disks has been studied using both analytical(e.g., Chakrabarti & Molteni 1993;Nakayama 1992Nakayama , 1994Nobuta & Hanawa 1994;Molteni et al 1996;Gu & Lu 2006;Nagakura & Yamada 2009) and numerical simulation approaches(e.g., Chakrabarti & Molteni 1993;Nobuta & Hanawa 1994;Molteni et al 1996;Gu & Lu 2006;Nagakura & Yamada 2008). However, several of these studies mainly focused on the assumption of a constant disk height(e.g., Chakrabarti & Molteni 1993;Nobuta & Hanawa 1994) or did not fully examine the multiple modes of oscillation(e.g., Chakrabarti & Molteni 1993;Nobuta & Hanawa 1994;Molteni et al 1996;Gu & Lu 2006;Nagakura & Yamada 2008), which are known to exist in the WD accretion shock case studied by, e.g., Chevalier & Imamura (1982) and Imamura et al (1984).…”
Section: Introductionmentioning
confidence: 99%
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“…In the literature, many authors from various groups published results of analytical viscous solutions as well as viscous hydro-dynamic simulations where it has been shown the shock is stable if the viscosity parameter is lower than a critical viscosity parameter (Chakrabarti 1990b(Chakrabarti , 1996dChakrabarti & Molteni 1995;Lanzafame, Molteni & Chakrabarti 1998;Lanzafame et al 2008;Lee, Ryu & Chattopadhyay 2011;Das et al 2014;Lee et al 2016). Also, there have been many stability studies of shock (Nakayama 1992(Nakayama , 1994Nobuta & Hanawa 1994;Gu & Foglizzo 2003;Gu & Lu 2006), but it was shown that even under non-axisymmetric perturbations, the shock tends to persist, albeit, as a deformed shock (Molteni, Tóth, & Kuznetsov 1999).…”
Section: Introductionmentioning
confidence: 99%