We want to understand the black hole accretion process, outflows and jets, and predict its observational properties. In the study of accretion disc the highly non-linear process involves a transport of angular momentum by turbulent viscosity process and dissipation in the disc by various dissipative process. The disc in a full general relativistic regime is a very hard to study analytically. So here firstly, we have study analytically hydrodynamic disc with using pseudo-Newtonian potential (pNp) around black holes then using full general relativistic (GR) approach. We have compared our analytical accretion solutions with simulation results around black holes. We have developed all type of possible accretion solutions in the disc with using pNp as well as GR. We have mainly focused on shock disc solutions and jets solutions by assuming jet geometry around the black hole. We computed the jet streamline above the equatorial plane using von-Zeipel surfaces and also estimated the mass outflow rates from the disc with using GR approach for non-rotating black holes. In future, we want to do this type of study for rotating black holes.