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In this study, a novel statistical model on the ultrasonic irradiation dispersion has been developed. The model on the cluster break-up by ultrasonic irradiation was theoretically established with the ratio of ultrasonic power spent for the cluster break-up. The ultrasonic power was changed in three steps; 20, 40 and 60 W. The model estimation was compared with the experimental results. The experimental results show that the cluster size was found to take a certain asymptotic value for each irradiation power. With this steady state value, the ratio of ultrasonic power spent for the cluster break-up was determined. It was found that the ratio of ultrasonic power spent for the cluster break-up is very small and is proportional to the mean shear rate in the flow. The present model with this ratio was found well to evaluate the time-variation of the mean cluster size. Thus, the present ultrasonic dispersion model was concluded to estimate the effects of ultrasonic irradiation on the fine particle dispersion well.

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