Elsa Batista and Richard Paton 2007 Metrologia 44 453 doi:10.1088/0026-1394/44/6/004
Elsa Batista1 and Richard Paton2
Show affiliationsWhen employing either gravimetric or volumetric methods for the calibration of flowmeters, volumetric measures and proving tanks, knowledge of the density of water is required. In addition, when measuring flow of water and calibrating flow meters, the compressibility, viscosity and speed of sound may also be needed. In the scientific literature, different formulae are used to express the properties of water. This is particularly noticeable in the case of equations for the density of water as given in standards. Different expressions have been referenced and included in International Standards Organisation, Organisation for International Legal Metrology documents and petroleum measurement standards from the American Petroleum Institute and the Energy Institute based on when the standard was prepared or which group prepared it. This variation does not generally give rise to significant differences in density; however, inconsistencies may cause problems for trade when small differences in the value of a product occur. In this paper, some of the most commonly referenced expressions have been given and compared. Finally, recommendations have been suggested to allow the most appropriate selection of formulae to suit the application. The effect of contamination has been examined and this has been extended to include salt water, which now requires high standards of measurement for the oil industry. The aim of the paper is to provide a set of practical formulae which can be used to reduce differences in measurement, ensure low uncertainties for measurement and provide an understanding of and reference source for the identification of unattributed formulae where they occur. The practical formulae provided here will apply equally to measurement at the highest levels of volume determinations, through to industrial and scientific volume and flow measurement applications using water.
47.80.-v Instrumentation and measurement methods in fluid dynamics
06.30.-k Measurements common to several branches of physics and astronomy
Issue 6 (December 2007)
Received 26 June 2007
Published 11 October 2007
An Erratum for this article has been published in 2008 Metrologia 45 127
Elsa Batista and Richard Paton 2007 Metrologia 44 453
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