Abstract
In the present paper four fundamental problems in turbomachinery aerodynamic theory are studied in depth: (1) It is shown that the well–known Euler’s equation for turbomachine power is valid only for shrouded impellers. Then, a generalization of it to unshrouded impellers is carried out. (2) An equation relating the free trailing vortex distribution along the blade span to that of the swirl moment rVθ is derived, yielding a condition for the vanishing of free trailing vortex sheets. (3) The free surface conditions in separated flow are shown to be entirely different from those in cavitated flow. (4) Generlized Kutta conditions for 3–D rotor bladings in separated and caviated flows are also derived. All these results are of fundamental value in both analytical and numerical handlings of fully 3–D rotor–flows.Copyright © 1995 by ASME
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