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244    CHAPTER 9  Application of microfluidics in cancer treatment














                         FIGURE 9.14  The acoustic intensity magnitude.












                         FIGURE 9.15  The size and direction of the force.


                         9.5.5  Force
                         Due to the nonlinear behavior of acoustic field, induced pressure is observed. This
                         pressure field will create a force on particles. The size and direction of the force are
                         shown in Fig. 9.15.
                            The maximum force value is located at a maximum intensity. Because the poly-
                         styrene acoustic contrast factor is positive, the radiation force direction for particles
                         is from pressure antinode to node. That’s why particles go toward channel wall and
                         center.


                         9.5.6  Motion of particles
                         The effect of the acoustic field on the particle motion is depicted in Fig. 9.16.
                            In t = 0 (before applying the acoustic field), particles distributed regularly in the
                         channel. As soon as the acoustic field applied, particles start to move toward pres-
                         sure nodes. After 8 s they are almost aggregated in pressure nodes. The velocity of
                         particles is under influence of acoustic streaming and ARF. Also the weakness of
                         acoustic streaming comparing to ARF is obvious, the total particle movement pattern
                         is similar to radiation force direction.
                            Due to nonlinear acoustic behavior in the fluid, the pressure known as acoustic
                         radiation pressure and the velocity known as acoustic streaming is induced. The car-
                         rying momentum and energy by the acoustic wave will move particles. The deter-
                         mination of the exact desired particle motion takes experimental and numerical
                         investigation. The radiation force is dominant for larger particles whereas acoustic
                         streaming is dominant for small particles. In working frequency for separation and
                         sorting applications, SAW devices do not have a considerable thermal effect. Acoustic
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