Dynamic Evolution of a Quasi-Spherical General Polytropic Magnetofluid with Self-Gravity

Abstract

In various astrophysical contexts, we analyze self-similar behaviours of magnetohydrodynamic (MHD) evolution of a quasi-spherical polytropic magnetized gas under self-gravity with the specific entropy conserved along streamlines. In particular, this MHD model analysis frees the scaling parameter $n$ in the conventional polytropic self-similar transformation from the constraint of $n+\gamma =2$ with $\gamma$ being the polytropic index and therefore substantially generalizes earlier analysis results on polytropic gas dynamics that has a constant specific entropy everywhere in space at all time. On the basis of the self-similar nonlinear MHD ordinary differential equations, we examine behaviours of the magnetosonic critical curves, the MHD shock conditions, and various asymptotic solutions. We then construct global semi-complete self-similar MHD solutions using a combination of analytical and numerical means and indicate plausible astrophysical applications of these magnetized flow solutions with or without MHD shocks.

21 pages, 7 figures, accepted for publication in APSS

References in corpus (6)

• New Self-Similar Solutions of Polytropic Gas Dynamics
• Self-Similar Dynamics of a Relativistically Hot Gas
• Self-Similar Dynamics of a Magnetized Polytropic Gas
• Magnetohydrodynamic Rebound Shocks of Supernovae
• Self-Similar Shocks in Polytropic Gas Flows around Star-Forming Regions
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Cited by in corpus (2)

• Dynamic Evolution Model of Isothermal Voids and Shocks
• Supermassive Black Holes in Galactic Bulges