Phenomenological Model for the Extended Cross-Float Method

Abstract

Deadweight piston gauges are vital for metrology and calibration, with their effective area traditionally determined through labour-intensive methods or precise geometric measurements. This paper introduces an extended cross-float method that simplifies effective area determination by avoiding detailed equilibrium point adjustments. The proposed method uses dynamic displacement data instead of static comparisons, potentially improving calibration efficiency. Experiments using laser sensors revealed a clear link between fall rate variations and mass discrepancies, emphasising the need for consistent reference levels. While the extended method shows promise, further research is necessary to address the impact of variables like piston temperature, rotation speed, and air density, particularly for high-pressure and gaseous systems.