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P. 170

160   4 Optical Rotor




                                                        Unit: mm
                                                   54
                                                                  Z= 0 mm    100 mm s -1
                                           X
                                                             5  10
                                         40   Y

                                                   23.5
                                           Z
                                                                  8 mm
                                                            X
                                           0
                                           8
                                          20

                                                                  16 mm
                            Fig. 4.57. Velocity vectors around optical mixer at different depths for horizontal
                            rotation       60

                                          Average flux amount (mm s -1 )  40  Experiment  260 rpm

                                                                           170
                                                                           80
                                                                           200
                                                                 Theory
                                                                           100
                                           20


                                            0
                                                      5
                                                               10
                                                                        15
                                             0
                                                    Distance from bottom surface (mm)  20
                                         Fig. 4.58. Average flux amount at different depths
                            different depths measured from the bottom surface of the rotor. The velocity
                            vectors at the bottom surface z =0 µm are directed alongthe rotation in the
                            circle but expand outward outside the circle. The fluid expands to more than
                            twice the thickness of the rotor.
                               The average flux amount outside the rotor decreases exponentially as the
                            depth increases, as shown in Fig. 4.58 for the rotation rates of 80, 170, and
                            260 rpm. In the figure, theoretical results for 100 and 200 rpm are also shown
                            for reference. Both results are in fairly good agreement, even in the microscale.
                               When an optical mixer, 9 µm in thickness, is 3-D trapped in an off-axis
                            position in the medium, it rotates vertically around the axis perpendicular
                            to the laser beam axis. The flows are visualized with a frame rate of 120 at
                            speeds of 115, 155, and 215 rpm, as partly shown in Fig. 4.59. The velocity
                            vectors at the focal plane originate from the left wing, flow into the right
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