Abstract : | Quasi Periodic Oscillations (QPOs) are often observed timing properties in black hole x-ray binaries. Though these are exhaustively studied, till date, their origin is under debate. The origin of these QPOs have been attributed to several underlying physical processes taking place in the accretion disc around the black hole. Several models like the disk oscillation model, Lense-Thirring effect, the discoseismology model and others have aimed to explain the origin of QPO, but most of them do not take into account explaining both timing and spectral properties from the same model. Here, we have considered the shock oscillation model to explain the reason behind the observed QPOs. In order to explain it, we solve conservation equations in hydrodynamics, including maximum possible physical processes. We use the Rankine-Hugoniot shock conditions to estimate the location of the shock. Finally, we aim to apply our solution to the observed QPOs for different black hole binaries. |