Circular vortex lows generate interesting self-organizing phenomena of particle motions, that is, particle clustering and classiication phenomena. These phenomena result from interaction between vortex dynamics and relaxation of particle velocity due to drag. This chapter introduces particle clustering in stirred vessels and particle classiication in Taylor vortex low based on our previous research works. The irst part of this chapter demonstrates and explains a third category of solid-liquid separation physics whereby particles spontaneously localize or cluster into small regions of luids by taking the clustering phenomena in stirred vessels as an example. The second part of this chapter discusses particle classiication phenomena due to shear-induced migration. Finally, this chapter discusses about process intensiication utilizing these self-organizing phenomena of particle motions in vortex lows.