DYNAMIC MODELLING, CALIBRATION, AND ACCURACY ANALYSIS OF NEXT-GENERATION VIBRATION VISCOMETERS

Abstract

This study presents a comprehensive investigation into the dynamic modelling, calibration, and accuracy assessment of next‑generation vibration viscometers designed for high‑performance liquid viscosity measurement. A lumped‑parameter analytical model and a finite element fluid–structure interaction framework was developed to characterize resonance shifts and viscous damping effects across a wide range of fluid viscosities. Calibration was performed using certified reference fluids between 1 and 10,000 mPa·s, enabling the derivation of optimized nonlinear calibration curves with strong predictive capability. Experimental results verified the theoretical models, showing that resonance‑based viscosity estimation achieved deviations below 2% for low‑ to medium‑viscosity fluids and below 4% for high‑viscosity fluids. Monte Carlo uncertainty analysis highlighted temperature variation and geometric tolerances as dominant contributors to error. The proposed viscometer demonstrated a 15–20% improvement in response time and enhanced sensitivity compared to commercial systems. This work establishes an integrated modelling–calibration framework that significantly advances the metrological performance of modern vibrational viscometry and provides a scalable foundation for industrial real‑time applications.