With continuing demand for high and stable operational reliability of hydraulic pumps, it has become vital to take into account the effects of leakage flows in the side chambers in-between the rotating impeller and the stationary casing. Leakage flows have the potential to produce unsteady flow behavior that inherently leads to substantial vibration, undesirable noise, energy losses, and fatigue of pump components. Thus, the purpose of the present study is to discuss and review the various aspects of these harmful unsteady flow behaviors resulting from leakage flows. The first part deals with the theoretical studies on the boundary layers, core swirl, moment coefficient, and pressure and velocity distribution of rotor–stator flows. Then, a simplified model of the prediction of through-flow on moment coefficient Cm and thrust coefficient CF with good correctness has been extensively discussed. Finally, a summary of the experimental and numerical studies on rotor–stator cavities is presented in the second part of this study. This review concludes with a discussion of the calculation of axial thrust and moment coefficient during the design process of radial pumps in a more precise manner.