Particle Size Analysis by Transmission Fluctuation Spectrometry in the Two-Phase Flow Irradiated by a Rectangular Narrow Beam

摘要

The theory of transmission fluctuation spectrometry (TFS) has been developed as a new method of particle analysis in the two-phase flow. In our earlier publications, a circular beam is used whose intensity is uniform or of a Gaussian profile. In this work, the TFS theory is studied for the case of a rectangular narrow beam. The signal process of the transmission fluctuations is performed in the time and frequency domains and the corresponding analytical expression expressed in terms of the expectancy of the transmission square (ETS) is obtained. In addition, the correlation of the fluctuating transmission signals is studied, expressed in terms of the expectancy of the transmission product (ETP). Numerical calculation shows that the transition function of the transmission fluctuation spectrum is sensitive to both the ratio of beam size to particle size and the shape of the beam cross section.