Example implementations relate to a method and system for pumping fluid with a pump assembly to cool waste-heat producing system of an apparatus. The pump assembly includes a first housing, a rotor assembly, a stator assembly, a second housing, an outlet connection port coupled to the second housing, and a guide vane insert. The first housing includes a first bore and first inlet guide vanes (IGVs) coupled to inlet of the first bore. The rotor assembly including an impeller, is disposed in the first bore. The stator assembly including a coil, is mounted around a portion of the first housing. The second housing has a second bore fluidically coupled to the first bore, and first outlet guide vanes (OGVs) coupled at an entrance of the second bore. The guide vane insert including second OGVs, is disposed within the outlet connection port and fluidically coupled to outlet of the second bore.