Uncertainty modelling of Coriolis flowmeters in multiphase flow using the amended bubble theory, with cross-disciplinary extension to sound propagation in suspensions

Purpose and goal

The aim is to develop a physics-based uncertainty framework for Coriolis flowmeters in multiphase flow, built on the amended bubble theory in which the drag force depends on the Stokes numbers and the particle-to-fluid viscosity ratio. The framework is extended to sound propagation and attenuation in aerosols and hydrosols. The goal is a result directly usable by the NMI for uncertainty declarations and industrial support, linking the metrology areas volume/flow and sound/vibration.

Expected effects and result

The project delivers an uncertainty-oriented reformulation of the amended bubble theory, expressing measurement error and damping as functions of the uncertainties in phase fraction, particle radius, density ratio and viscosity ratio. A sensitivity analysis identifies the dominant uncertainty contributors for industrial mixtures (air–water, oil–water, sand–water, aerosol). Effects are more defensible uncertainty statements and a strengthened basis for future EU metrology programme applications.

Planned approach and implementation

The work is analytical and numerical. It runs over 24 months in four overlapping work packages: WP1 (months 1–8) reformulation following GUM principles; WP2 (months 6–14) sensitivity and regime analysis for industrial mixtures; WP3 (months 12–20) extension to suspension acoustics; WP4 (months 18–24) integration and dissemination via two open-access publications, one conference, a technical note and an input document for future EU metrology programme applications.