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158   4 Optical Rotor
                                Table 4.7. Effect of the tracer on the images of the visualized microflow
                                   tracer (size)glycerol (%)             visualization
                                                                        tracer    optical
                                   polystyrene (0.5 µm)50                 ×         ×
                                   polystyrene (1.0 µm)30                           ×
                                   glass (0.5 µm)50                       ×         ×
                                   glass (1.0 µm)30                                 ×
                                   aluminum (1.0 µm)30                    ×         ×
                                   gold (0.5 µm)50                        ×         ×
                                   milk fat colloid          30









                                     80 rpm                170 rpm             260 rpm
                                            100 mm s -1
                            Fig. 4.54. Velocity vector analysis by tracking the density pattern of the medium,
                            with rotation rate as a parameter

                            the microflow. We analyze the microflow usingthe visualized images obtained
                            by the optical method. Velocity vectors and the flux amount around the mixer
                            are derived to evaluate the degree of agitation of the liquid. Through the
                            analysis, we confirmed that both the rotor shape and the rotation velocity
                            affect on microflow.
                               Optical rotors were trapped near the upper surface of the chamber, and
                            the rotation rate was varied to 80, 170, and 260 rpm by changing the laser
                            power. The velocity vectors due to the medium density variation caused by
                            the optical rotor was observed for different rotation rates, as shown in Fig. 4.54
                            at the frame rate of 1/120 s.

                            4.5.2 Medium Density Pattern Tracking

                            These flow-field analyses can be carried out usinga fast pattern tracking
                            algorithm based on the correlation between the density variation patterns
                            (Flow-vec 32, Library Corp.), as shown in Fig. 4.55. The measuring points are
                            located at 0.5 µm intervals in the observation plane. The correlation between
                                                                                      2
                            the medium density pattern in an element with size of 3.5 × 3.5 µm and that
                            in the search size are calculated to obtain the reliability, which is defined as
                            the pattern trackingaccuracy for the medium density variation. The velocity
                            of flow at the measuringpoint can be calculated from the distance between
                            the measuringpoint in the current frame and the maximum correlation point
                            in the next frame, divided by the frame time (1/120 s).
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