Abstract In this paper, a combination of Monte Carlo simulation and an optimization technique is used to simplify the model for predicting the dynamic deaeration coefficient K dea (Z. H. Gu, P. C. Arnold and A. G. McLean, Powder Technol., 72 (1992) 121 and 157). Sensitivity analysis indicates that the dynamic deaeration coefficient K dea mainly depends on bulk density constants (ϱ 0 , b 1 , b 2 ), the hopper outlet diameter D o , internal friction angle δ and surcharge level H/D . Based on the simplified K dea model, a simplified flowrate model is obtained, providing a very good agreement with the original flowrate model (Z. H. Gu, P. C. Arnold and A. G. McLean, Powder Technol., 72 (1992) 157) but without requiring the numerical analysis used to solve the integrations in the original model.
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