Potential flows in a core-dipole-shell system: numerical results

TL;DR

This paper presents numerical solutions for steady-state ideal fluid flows around a core-dipole-shell system, analyzing streamlines, density contours, and accretion rates, with findings on the effects of the equation of state parameter gamma.

Contribution

It provides detailed numerical analysis of potential flows in a complex gravitational system, highlighting the influence of the equation of state parameter gamma.

Findings

Non-linear effects are negligible on streamlines and density contours for 1<gamma<2.

Density values are affected by non-linear contributions.

Accretion rate increases as gamma decreases.

Abstract

Numerical solutions for: the integral curves of the velocity field (streamlines), the density contours, and the accretion rate of a steady-state flow of an ideal fluid with p=K n^(gamma) equation of state orbiting in a core-dipole-shell system are presented. For 1 < gamma < 2, we found that the non-linear contribution appearing in the partial differential equation for the velocity potential has little effect in the form of the streamlines and density contour lines, but can be noticed in the density values. The study of several cases indicates that this appears to be the general situation. The accretion rate was found to increase when the constant gamma decreases.