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Measurement and analysis of unsteady flow structures in rotor blade wakes
Authors:V R Capece  S Fleeter
Institution:(1) Thermal Sciences and Propulsion Center, School of Mechanical Engineering, Purdue University, 47907 West Lafayette, IN, USA
Abstract:Time-variant data are obtained to investigate the exit flow field from a rotor in a research compressor. In the free-stream region, the instantaneous data are analogous to one another and to the ensemble averaged free-stream results. However, in the wake region, some of the instantaneous signals are similar to one another and to the ensemble averaged wake, but others differ significantly. These variations in the instantaneous data are interpreted and shown to be due to a vortex street structure in the wake. This is accomplished by: (1) developing a mathematical model of the rotor blade exit flow field based on a wake vortex street structure analogous to the unsteady flow field behind bluff bodies due to classical von Karman vortex shedding; and (2) correlating predictions of both the ensemble averaged and instantaneous rotor blade exit flow fields as well as the velocity probability density distributions from this vortex wake flow field model with the corresponding data. The correlation of the ensemble averaged rotor blade exit flow fields is very good and the flow angle distribution correlation excellent. The predicted instantaneous rotor blade exit flow field exhibits many of the flow features found in the data. Also, the probability density distributions for the data and the vortex wake flow field model are analogous to one another.List of symbols N number of rotor revolutions - S w rotor blade wake width - S x vortex core horizontal spacing - S y vortex core vertical spacing - u velocity component parallel to vortex street motion - v velocity component normal to vortex street motion - W instantaneous relative velocity - W i velocity induced by vortex street - W prop free-stream relative velocity - W s velocity of vortex street - x coordinate parallel to vortex street motion - y coordinate normal to vortex street motion - betaprop free-stream relative flow angle - betainst instantaneous relative flow angle - Gamma vortex strength
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