Modelling of Frictional Headloss through Venturi-Meter

Abstract

Venturi-meter is a hydraulic laboratory device for validating and demonstrating the Bernoulli’s principle of fluids and can be configured in the design and monitoring of flows in physical models and prototypes. The contraction system's geometric, fluid, and flow characteristics were successfully ascertained. The system had length between two piezometers of 213mm, diameter of the section of 51mm and constant fluid (water) properties and operated under laminar flow conditions. A dimensionless model was successfully derived using the Buckingham π theorem. The model parameters were determined through linear regression, with a slope, , intercept, = 746448.7584 and Correlation Coefficient of , confirming an excellent fit to the experimental data. The model's performance was evaluated using three statistical metrics: Relative Bias of 0.3882, Nash-Sutcliffe Efficiency of 0.8652 and Correlation Coefficient of . These results demonstrated the model's high degree of reliability in forecasting headloss from friction under the tested circumstances. The dimensional analysis approach for frictional headloss estimation was confirmed by the model's validation against existing literature, which showed equivalent or better performance to similar research.