Abstract:
We study the relativistic, inviscid, advective accretion flow around the black holes and investigate a key feature of the accretion
flow, namely the shock waves. We observe that the shock-induced accretion solutions are prevalent and such solutions are
commonly obtained for a wide range of the flow parameters, such as energy (E) and angular momentum (λ), around the black
holes of spin value 0 ≤ ak < 1. When the shock is dissipative in nature, a part of the accretion energy is released through the
upper and lower surfaces of the disc at the location of the shock transition. We find that the maximum accretion energies that
can be extracted at the dissipative shock ( Emax) are ∼ 1 per cent and ∼ 4.4 per cent for Schwarzschild black holes (ak → 0)
and Kerr black holes (ak → 1), respectively. Using Emax, we compute the loss of kinetic power (equivalently shock luminosity,
Lshock) that is enabled to comply with the energy budget for generating jets/outflows from the jet base (i.e. post-shock flow). We
compare Lshock with the observed core radio luminosity (LR) of black hole sources for a wide mass range spanning 10 orders of
magnitude with sub-Eddington accretion rate and perceive that the present formalism seems to be potentially viable to account
LR of 16 Galactic black hole X-ray binaries (BH-XRBs) and 2176 active galactic nuclei. We further aim to address the core radio
luminosity of intermediate-mass black hole (IMBH) sources and indicate that the present model formalism perhaps adequate to
explain core radio emission of IMBH sources in the sub-Eddington accretion limit.
