Abstract: Turbo-machinery and methods are disclosed for a bladeless conical radial turbine wherein fluid is directed axially within the pump body to produce an axial output. The rotor comprises a plurality of spaced apart conical elements. A plurality of spiraling flow paths may be provided to receive fluid to which fluid has been imparted by acceleration of the fluid through the spaces between the conical elements using boundary layer adhesion techniques. The fluid is smoothly directed to any number of subsequent boundary layer pumping stages which are axially positioned with respect to each other.