Contour plot sequence of the Gor'kov force potential as a result of amplitude change in the x and y direction, resulting from superposition of two in phase cosine functions with identical frequency and amplitudes A 1 and A 2. The bright gray lines are potential maxima, the black lines are indicating the potential minima. The black arrow is representing a fiber located at one of the force potential minima.
(a) Definition of the rotation angle α for a fiber. (b) Rotation angle and corresponding amplitudes for a variation of one of the amplitudes while the other is set to 1. (c) Sinusoidal variation of the amplitudes leads to a linear variation of the angle α for equal maximum amplitudes (black). The influence of unbalanced amplitudes is shown with the gray curves.
Linear amplitude variation of A 1 and A 2 for a rotation of 180°. A 1 and A 2 are varied over half a rotation cycle TM between 1 and −1.
Contour plot sequence of the mean square fluctuations of (a) the pressure and (b) the velocity for one wavelength in the x and y direction. The amplitude A 1 is varied from 1 to 0 and A 2 is maintained constant at 1.
(Color online) (a) Exploded view of the micromanipulation device with a detailed view of the bottom electrode of the piezoelectric transducer with its strip electrodes. (b) Picture of the device showing the cone shaped inlet channels and the fluidic chamber (3 × 3 mm2). (c) Picture of the device from the bottom showing the piezoelectric transducer with the strip electrodes and the wire connections.
(Color online) A 180° rotation of clumps of copolymer particles (Ø17 μm) with amplitude modulation and an excitation frequency of 1689kHz. The applied voltage is 30 V. The pictures [(a)–(i)] are 0.86 × 0.86 mm2 details of a whole cavity and the elapsed time is given in each part.
Angular position of a particle clump plotted over time for a rotation of 360°. The black dots represent the angle of the clump for each frame in the video. The gray line is the average expected angular position at a rotation speed of 44 rpm (rotation time TM = 1.36 s).
(Color online) A 180° rotation of a glass fiber. The images are taken from a video. They correspond to a 0.5 × 0.5 mm2 area inside the chamber. The actuation frequency is 1085 kHz.
Angular position of the fiber plotted over time for two complete rotations (720°). The black dots represent the angle of the fiber for each frame in the video. The gray line is the average expected angular position at a rotation speed of 36 rpm (rotation time TM = 1.67 s).
Force potential plot for a (4,2) and (2,4) mode used for rotation of a glass fiber with amplitude modulation. The black arrow is representing a fiber, located at one force potential minimum like in the experiment.
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