Precise determination of the pressure distortion coefficient of new controlled-clearance piston-cylinders based on the Heydemann–Welch model

Kajikawa, Hiroaki; Ide, Kazunori; Kobata, Tokihiko
September 2009
Review of Scientific Instruments;Sep2009, Vol. 80 Issue 9, p095101
Academic Journal
A new controlled-clearance (CC) pressure balance has been developed with the aim of improving hydraulic pressure standards up to pressures of 1 GPa. The pressure balance is equipped with a weight-loading unit that can load/unload selected weights automatically and a CC piston-cylinder that is designed for the jacket pressure to be applied independently. In this paper, the effective area Ae of two kinds of the CC piston-cylinders for pressures of 200 and 500 MPa was examined based on the Heydemann–Welch model. The two parameters in the model, the jacket pressure coefficient and the zero clearance jacket pressure, were precisely determined by the characterization experiments, after which the pressure dependence of Ae and its uncertainty were estimated. The uncertainty due to the pressure dependence of Ae for the 500 MPa CC piston-cylinder was less than 7.5×10-8 MPa-1. To confirm the consistency of the estimations, the results of the two CC piston-cylinders were compared through a free-deformation (FD) piston-cylinder; the two estimations were in agreement with each other. Moreover, it was shown that the extent of nonlinearity in the pressure dependence of Ae of the FD piston-cylinder can be evaluated by calibration against the CC piston-cylinder.


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