Self-Similar solution of rotating eruptive outflows on its equatorial plane

Abstract

We construct axisymmetric self-similar solutions of transonic outflows emanating from a point source including the effect of the rotation. The solutions are constructed exclusively on the equatorial plane. The features of solutions are determined by three parameters; the adiabatic index $\gamma$, the dimensionless coordinate of the transonic point, and the dimensionless azimuthal velocity at the transonic point. We classify the solutions into five groups according to the asymptotic behaviors. We find that the behaviors of the self-similar solutions change at $\gamma =11/9$. In addition, some solutions show double-power-law density profiles, which are usually seen in ejecta from a binary merger or nova-like explosion. Thus, our self-similar solutions can be applied not only to the outflow blowing from the central spinning objects, but also to the ejecta erupted from the binary merger or nova-like explosion.

arXiv comment14 pages, 6 figures, 1 table. Accepted by ApJ

References in corpus (23)

• SciPy 1.0--Fundamental Algorithms for Scientific Computing in Python
• Multi-messenger Observations of a Binary Neutron Star Merger
• Transient Events from Neutron Star Mergers
• Electromagnetic Counterparts of Compact Object Mergers Powered by the Radioactive Decay of R-process Nuclei
• Faint Thermonuclear Supernovae from AM Canum Venaticorum Binaries
• Helium-ignited violent mergers as a unified model for normal and rapidly declining Type Ia Supernovae
• How mergers magnetise massive stars
• Merger and Mass Ejection of Neutron-Star Binaries
• Double-detonation supernovae of sub-Chandrasekhar mass white dwarfs
• Surface Detonations in Double Degenerate Binary Systems Triggered by Accretion Stream Instabilities
• Prelude to a double degenerate merger: the onset of mass transfer and its impact on gravitational waves and surface detonations
• Synchrotron radiation from the fast tail of dynamical ejecta of neutron star mergers
• The Evolution and Fate of Super-Chandrasekhar Mass White Dwarf Merger Remnants
• A systematic study of carbon-oxygen white dwarf mergers: mass combinations for Type Ia supernovae
• Enrichment history of r-process elements shaped by a merger of neutron star pairs
• Rotating massive O stars with non-spherical 2D winds
• The critical mass ratio of double white dwarf binaries for violent merger-induced Type Ia supernova explosions
• A massive white-dwarf merger product before final collapse
• Radio Transients from the Accretion Induced Collapse of White Dwarfs
• X-rays observations of a super-Chandrasekhar object reveal an ONeMg and a CO white dwarf merger product embedded in a putative SN Iax remnant
• Radio transients from accretion-induced collapse of white dwarfs
• An Analytical Density Profile of Dense Circumstellar Medium in Type II Supernovae
• The optically thick rotating magnetic wind from a massive white dwarf merger product