Improvement in Accuracy of Performance Prediction for Centrifugal Pumps by Loss Model Calibration of Meanline Analysis

This study presents an improved one-dimensional meanline analysis for predicting the hydraulic performance of a single-stage centrifugal pump. The basic model for the meanline analysis is derived from the Euler equation, defined by the velocity triangle and the Wiesner slip factor. Empirical coefficients from the loss models proposed in previous studies are listed and selected as variables for calibration. Latin hypercube sampling is employed to generate multiple sampling points to calibrate the coefficients in the loss models. Three centrifugal pumps with different specific speeds are selected, and the relative errors of the head and efficiency values obtained from experiments and the meanline analysis are calculated to quantify the prediction model's accuracy. The optimal combination of loss model coefficients that minimizes the mean square error between the experimental values and the meanline analysis is determined from the sampling points. The reliability of the methodology is demonstrated by showing that the predicted values for head and efficiency are within 5% and 10% error ranges, respectively.