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140   4 Optical Rotor
                                Flux amount horizontal (mm s -1 )  10 3 2 1  Without slope  Flux amount vertical (mm s -1 )  10 2 1 0  Without slope
                            (a)  10 4              With slope  (b)  10 3            With slope





                                                                   10
                                 10
                                 10
                                                                   10
                                   0
                                         10
                                                      30
                                                20
                                                                            10
                                                                      0
                                                            40
                                                                                        30
                                                                                  20
                                                                               Depth (mm)
                                            Depth (mm)
                                                               ◦
                            Fig. 4.26. Effect of the slope (angle of 45 )of the shuttlecock rotor on the flux 40
                            amount. Horizontal (a), and vertical (b)
                                (a)                         (b)
                                                                                     Rotation
                                                       20 mm                 Upper
                                5 mm
                                                  10 mm
                                                                                    Back
                                                                                   Side


                                                       10 mm           Front   Bottom


                            Fig. 4.27. Side view indicating the size of the rotor (a), and sectional view indicating
                            the name of its side parts (b)





                            Pressure, Shearing Stress and Viscous Drag Force
                            Figure 4.27 shows the side view indicating the size of the rotor (a), and the
                            sectional view indicatingthe names of parts (b). Pressure P (a), and shearing
                            stress S(= dU/dx) (b), exerted on the surfaces of the rotor at the rotation
                            rate of 500 rpm are analyzed and shown in Fig. 4.28. We find that high pres-
                            sure appears on the outer part of the front surface where the fluid velocity
                            is high. Flow-in occurs near the back surface due to the negative pressure.
                            The pressure on the flat ends is very small due to the tangential direction of
                            the rotation axis. On the other hand, the shearingstresses are high on the
                            side surface and the outer corner. As a result, the dragforce is large at the
                            side surface and the outer parts of the back surface.
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