We present a study of the formation of bow shocks in radiatively-cooled plasma flows, where a magnetic field can be introduced. This work uses the XP generator (260kA, 145ns) at Cornell University to drive an inverse wire array. A quasi-uniform, large scale hydrodynamic flow is generated and accelerated by Lorentz forces to high Mach numbers. This flow impacts a stationary object placed in its path, forming a well-defined Mach cone. In the hydrodynamic case, the shock front is very narrow (∼60µm) and shows strong cooling in the post-shock region. In addition, the variation of the Mach cone with position and time evidences the strong cooling in the incident flow.