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Radial Flow Rotating Blade Retreating Blade Stall

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Radial Flow Rotating Blade Retreating Blade Stall ( radial-flow-rotating-blade-retreating-blade-stall )

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AN EXPLORATION OF RADIAL FLOW ON A ROTATING BLADE IN RETREATING BLADE STALL 2013 Cross-flow plane downstream of trailing edge The choice of the cross-flow plane and the instant immediately fol- lowing the passage of the trailing edge enabled the capture of the velocity field just above and below the trailing edge without the blade surface ob- structing or scattering the laser illumination. The flow at that station, measured much less than a millisecond after passage of the trailing edge, is negligibly different from the station immediately before the trailing edge. Certainly, it is recognized that the wake of the blade changes rapidly and the velocity field thus changes within a short distance of the trailing edge. However, recent computational results by Gross et al. (Ref. 33) verify that the change immediately downstream of the blade is insignifi- cant. Uncertainty estimate The uncertainty in collective pitch and cyclic pitch angle settings, which were measured using a digital protractor, is 0.05◦. The error in measurement of the angle of the tip path plane arises mainly due to the pixel size in image processing, and the uncertainty is 0.035◦. The probability density histograms of the instantaneous velocity data did not reveal peak locking or any other experimental artifact, the high- est resolution of velocity being 0.005 m/s. To estimate the particle lag error (which is typically significant in vortical flows), the particle dy- namics in PIV was considered. A transient solution for the response time (relaxation time) of the seed particles (10 μm) to changes in ve- locity was determined. The characteristic time was defined as the time available for the seed particle to respond to rapid changes in the flow. This was determined from the vorticity contours of the experimental results. A comparison showed that the characteristic time was 5–10 times the relaxation time, indicating that the particle lag error was insignificant. However, this does not allow measurement interpretation from within the boundary layer as the vorticity in the boundary layer is an order of magnitude greater. In addition, a random error was computed by using Eq. (1) from Ref. 31, where σe is the random error, dp is the particle image diameter, and c is an empirical constant that usually lies between 0.05 and 0.10: σe =c×dp (1) Thus for this experiment the random error ranged from 0.053 in the best case (0.05 ×1.06 pixels) to 0.197 in the worst case (0.10 ×1.97 pixels). The total measurement error, εm, was quantified with Eq. (2) from Ref. 34, where Wp is the maximum out-of-plane component of flow velocity, Up is the maximum inplane component of flow velocity, Zs is the light sheet thickness, M is the magnification, and σi is the random measurement error in the image plane: εm≤Wp×3×σi (2) Up ZsM Wp was measured in the chordwise plane and was found to be 2.5 m/s, Up was measured to be 3.5 m/s, Zs was maintained between 3 and 4 mm, and M of the camera was 1/16. σi amounted to 6.5 × 10−6 × σe ranging between 3.45 × 10−7 and 1.28 × 10−6. Using these relations, the total measurement error εm was estimated between 0.34% and 1.25%. This amounted to an absolute error of 0.012 and 0.043 m/s based on Up . Uncertainties in the measurement are sum- marized in Table 2. Type of error Random Bias Lag Total measurement Table 2. Summary of errors Estimate Eq. (1) Peak locking histogram Relaxation time Eq. (2) Error 0.053–0.197 pixels 0.005 m/s Insignificant 0.34–1.25% 022005-5 Fig. 5. Hypothesized flow features on a dynamically stalled rotating blade. Hypothesized Flow Features The conceptual flow field is illustrated in Fig. 5. In Fig. 5(b), the Z = 0 plane represents a plane immediately above the blade surface and Z = 1 plane represents a plane farther above the blade surface. From the prior experimental results, the flow field in dynamic stall is hypothesized to have the following characteristics: 1) The flow downstream of the separation line over the blade is highly three dimensional, and the Mach number remains low in the region downstream of the separation line. 2) The nature of the separation line on a rotating blade will involve interaction between the stall line, tip vortices, and the separated flow field downstream (see Fig. 5(a)).

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