  For all available pseudo-Schwarzschild potentials, we provide a
non-self-similar model of coupled accretion-outflow system in connection to the
Quasi Periodic Oscillation (QPO) of the black hole powered galactic
microquasars and the emergence of barionic jets out of these objects. We use
the vertically integrated 1.5 dimensional model to describe the disc structure
where the equations of motion are written on the equatorial plane of the
central accretor, assuming the flow to be in hydrostatic equilibrium in the
transverse direction. First we formulate and solve the equations governing
axisymmetrically rotating, advective, multi-transonic black hole accretion
which may contain the Rankine Hugoniot Shock Waves (RHSW), and then we
calculate the associated QPO frequencies ${\nu}_{QPO}$ in terms of relevant
accretion parameters. We then argue that the post-shock region for such flows
may serve as an efficient source of outflow generation; and we calculate, for
{\it same} set of accretion parameters used to calculate the ${\nu}_{QPO}$s,
what fraction of the accreting material, denoted by $R_{\dot m}$, is being
blown as shock generated outflow. In this way we theoretically study the
relation between ${\nu}_{QPO}$s and $R_{\dot m}$s for galactic microquasars and
compare our theoretically obtained result with observational data.
