A total artificial heart for a mammalian cardiovascular system is provided. The total artificial heart has a pump casing including an outer housing and an integral hollow support shaft extending therethrough. The casing defines a first flow path within the outer housing about an exterior of the hollow support shaft and a separate second flow path extending within the hollow support shaft. An annular impeller is housed within the outer housing of the casing for rotation about the hollow support shaft to provide a centrifugal flow pump in the first flow path, and an axial flow impeller is housed within the hollow support shaft of the casing for forming an axial flow pump in the second flow path.