Integrating Fluid Rheology into a Physics-Based Torque Model of Progressive Cavity Pumps for Water Treatment Applications

Monitoring fluid viscosity and total suspended solids is essential for effective wastewater treatment. This work introduces a physics-based model of the torque demand of progressive cavity pumps with viscosity and total suspended solids explicitly represented as parameters. The model is derived from rotor-stator interaction mechanics and accounts for key fluid-structure dynamics. Linking fluid properties to the measureable torque demand enables real-time assessment of fluid conditions, identification of pump wear, and adaptation to varying operational states. Model validation with test bench data confirms accuracy over a range of operating points and fluid properties, and suggests the model is suitable for advanced monitoring and control for efficient wastewater treatment.