Higher Order Stability Analysis for Astrophysical Accretion Processes

TL;DR

This paper performs higher order perturbation analysis of accretion flows around black holes, deriving a velocity stability criterion using Green's functions to assess flow stability under turbulence effects.

Contribution

It introduces a novel higher order stability analysis method for astrophysical accretion flows incorporating turbulent viscosity effects.

Findings

Derived a velocity stability criterion for accretion flows.

Applied Green's function to solve nth order perturbation equations.

Provided insights into flow stability in turbulent astrophysical environments.

Abstract

We have done nth order perturbation analysis of the Navier-Stokes equation with the presence of turbulent viscosity in context of thin accretion flow around a black hole. In order to find the stability criteria, we used Green's function to solve the nth order velocity perturbation equation. Finally, we have proposed a velocity stability criterion which helps to find whether the base flow to be stable for higher order perturbation.