A fluid pump integrated with a motor, a fluid pump/generator device, a rotor for a fluid pump/generator device, a stator for a fluid pump/generator device and a method for pumping fluid are disclosed. Specifically, a fluid pump includes a motor rotor having a plurality of magnetic vanes that electromagnetically interact with a plurality of magnetic poles of the motor stator such that the rotor functions simultaneously as the impeller for the pump and rotor for the motor, with fluid flowing through channels on the rotor. Pump and motor are tightly integrated into one single device so that the number of parts is reduced, total size is compressed, reliability of the device is improved, and cost efficiency is increased. In addition, the use of magnetic vanes for propelling fluid improves motor efficiency. Further, the fluid flow is used to directly cool the pump/generator device, which reduces energy consumption.