A Novel Interpolation-Based Method for Predicting the Pressure Head of Torque-Flow Pumps at the Pre-Design Stage

Abstract

The article proposes a new method for predicting the head characteristic of torque-flow pumps using a Lagrange interpolation polynomial. It is shown that traditional approaches (CFD simulations and experimental bench tests) are highly accurate but require significant resources and can only be applied at the final stages of design. The proposed interpolation method enables the complete H(Q) curve to be obtained at the pre-design stage using a limited number of reference points from a baseline pump with similar parameters. To verify the method’s effectiveness, tests were conducted on the torque-flow pumps TFP 80-32 and TFP 125-50. The results demonstrated that the maximum deviation between calculated and experimental values did not exceed 4–5% across the full flow range and was within 2 % in the operating interval. This corresponds to the accuracy of engineering measurements and confirms the approach’s practical value. The results indicate the potential of the approach to reduce the cost of the pump development life cycle, optimize parametric series, and improve energy efficiency in industrial processes