Development of a Dimensionless Logistic Model for Predicting Cyclone Separation Efficiency

摘要

To predict the cyclone separation efficiency, a semi-empirical dimensionless multivariate logistic model is developed by stepwise multiple regression based on dimensional analysis. The model can be expressed as a simple explicit function of characterized dimensionless numbers for cyclone geometries, the dimensionless number for gas flow called Reynolds number and the dimensionless number for particle dynamics called Stokes number. The model coefficients are regressed according to the experimental data reported by Iozia and Leith (1990)12. Iozia , D. L. and Leith , D. 1990 . The Logistic Function and Cyclone Fractional Efficiency. . Aerosol Sci. Technol. , 12 ( 3 ) : 598 - 606 . [Taylor & Francis Online], [Web of Science ®], [CSA]View all references, which includes the effects of cyclone geometrical parameters, gas-particle physical parameters and operating parameters. The result indicates there is an agreement between the experimental data and model prediction with the mean squared error (MSE) of 0.62 and the efficient of determination (COD) of 0.90. Further, by the comparison with the additional experimental data as well as several popular theoretical models, it is found that although the present model can not reveal detailed mechanism and process of the gas-particle flow and separation in cyclones, it still is demonstrated to be useful and applicable to predict the cyclone separation efficiency.