Mixing technology is widely used in engineering. This paper introduces 0-1 test for chaos and Poincare sections, for the characterization of multiphase mixing effects based on computational homology and image analysis. Experimental results show that the chaotic behavior in multiphase mixing process can be decided by calculating the median (K) of parameter K-c approaching asymptotically to zero or one, and the value of parameter K may give a good quantification of multiphase mixing effects. Finally, it is illustrated to verify the theoretical analysis according to Poincare sections and the largest Lyapunov exponents. Particularly, by Poincare sections of the first Betti numbers, the abnormal mixing effect could be distinguished graphically. It provides a good theoretical and methodological support for optimization design of mixing equipments.
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