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4.3 Turbine Blade Aerodynamics endwall region which causes the cross flow here to be stronger. The flow yaw angle contours along the passage in figure 5 show the higher magnitudes of the flow turning near the endwall compared to the flow turning in the mid-span regions away from the endwall. The endwall pressure gradients are shown in figure 6. The suction side pressure magnitudes along the endwall are higher compared to the suction side pressure values in the free- stream region (see figure 1). This results in smaller pressure gradients in the endwall from the pressure side to the suction side as shown in the line plot of figure 6. The magnitude of ΔP in the figure is the pitchwise pressure difference between two points at the same axial chord location, one located on the pressure side and the other on the suction side. As mentioned earlier, the turning of the boundary layer fluid in the endwall region is much higher compared to the turning of the free-stream in the passage, which seems to contradict the results in figure 6. According to Niehuis, et al., in the free-stream flows away from the endwall, equilibrium exists between the pitchwise pressure gradient and centrifugal force on the fluid elements at the curved streamlines12. This equilibrium breaks down in the endwall region because the centrifugal force on the fluid elements in the low velocity boundary layer reduces. As such, the weak endwall region streamlines easily turn to a greater degree with relatively smaller pressure gradients as those in figure 6. Fig. 5. Flow yaw angle (deg) contours in a plane near endwall along a linear blade passage. Source: See Note 56 (Acharya). Fig. 6. Surface pressure distribution at endwall of a blade passage in linear cascade. Source: See Note 56 (Acharya). 366PDF Image | Turbine Blade Aerodynamics
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