Abstract: Disclosed is a power generation system and method. The system includes a combustor, and a turbine driven by products of the combustor. The turbine includes at least one disk supporting a plurality of airfoils, and the airfoils each have an internal passage formed therein. The system further includes a passage for routing a coolant within the system. A portion of the passage is provided by the internal passages of the airfoils, and another portion of the passage is provided between the airfoils and the combustor. The system also includes a generator driven by the turbine to generate electric power.

Abstract: A pumping element includes a blade (20) having a first section proximate a hub and a second section proximate a tip, a cavity height distribution based on a selected incidence angle distribution and a selected blade thickness distribution based on a structural requirement. The resulting cavity height distribution matches the blade thickness at the first section and the second section and is greater than the blade thickness along the blade.

Abstract: A pumping element and method of turbomachinery design includes a blade having an incidence angle (?) and a blade angle (?), wherein a ratio of ?/? is less than approximately 0.3.