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

TL;DR

This paper develops axisymmetric self-similar models of rotating transonic outflows on the equatorial plane, revealing diverse behaviors and potential applications to astrophysical phenomena like binary mergers and novae.

Contribution

It introduces a new class of self-similar solutions for rotating outflows, including the effects of rotation and transonic transitions, classified into five groups based on asymptotic behavior.

Findings

Solutions change behavior at adiabatic index 11/9.

Some solutions exhibit double-power-law density profiles.

Models applicable to outflows from spinning objects and explosive events.

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.