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AN EXPLORATION OF RADIAL FLOW ON A ROTATING BLADE IN RETREATING BLADE STALL 2013 Fig. 7. Contours of vorticity showing discrete structures above the blade. trend also seen in the measurement window centered at r/R = 0.814 and beyond (not shown). To further understand the characteristics of these discrete structures, a statistical convergence test was performed on the data set. This sought to determine at what point during the averaging process would the discrete structures coalesce. First, all the hundred vector fields collected at a given station were averaged. The vorticity of the discrete structures was observed to reduce to the local average vorticity level. Furthermore, after averaging approximately 17 vector fields these discrete structures were no longer distinctly visible. Distinctly visible was defined as the vorticity entrained in these structures being less than 20% higher than the local vorticity. This indicates a moderately rapid change in the precise locations of the structures but also shows that their locations are not drastically different from one velocity field to the next. Significance of the discrete structures. The significance of the discrete structures is crucial to the understanding of the radial flow. To explore the significance of these discrete structures, first the question—what is the source of these instabilities?—must be answered. Hence in search for the answer, the root-mean-square (rms) variation of the velocity vectors was investigated. The following hypothesis was made: “If the radial flow near the surface is the source of the instability, the fluctuation inten- sity in rms should be high in the regions of higher radial flow. Else the fluctuations should be higher at the upper edge of the separated flow.” The complete analysis of the ensemble averaged profiles showed that in Fig. 8. RMS fluctuations showing the peak occurring near the blade surface. Fig. 9. Radial variation of the average vorticity of discrete structures and their rms variation in the trailing edge plane. all cases the rms fluctuation peak essentially overlapped the peak of the radial velocity (Fig. 8 shows the rms peak close the blade surface). A sig- nificant implication of this analysis is that the discrete vortical structures are “driven” by the vorticity in the radial jet shear layer and not by the shear layer separating the upper edge of the separated/recirculating flow from the freestream. Moreover, the rms fluctuations increased on moving outboard. This indicates that the fluctuation has a primary relationship to the increasing strength of the structures as one moves outboard on the blade. 022005-7PDF Image | Radial Flow Rotating Blade Retreating Blade Stall
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