Outflow rates in a black hole environment in presence of a dissipative standing shock

We find a self-consistent solution for the outflow rate from an accretion disc around a black hole. The centrifugal pressure dominated shock in a transonic accretion flow can act as a Compton cloud by emitting radiation in the form of hard X-rays. It is also the base of an outflow where considerable matter is ejected. We modify the Rankine-Hugoniot relationship in the accretion flow when the post-shock region suffers energy as well mass-loss. After connecting the post-shock solution in the disc with the sonic surface properties of the outflow, we obtain the ratio of the outflow rate and inflow rate ? analytically. Our conclusions are (i) the outflow rate is at the most a few per cent of the inflow rate, (ii) the outflow is absent when the shock is relatively weak (more precisely, the compression ratio is less than about 2) and (iii) the outflow rate decreases with the increase of the energy loss at the post-shock region. Thus spectrally soft states will have lesser outflows.