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Force transmission errors in magnetic suspension densimeters



Mark O. McLinden, R Kleinrahm, W Wagner


We present techniques to determine and compensate for the force transmission error (FTE), including the effects of magnetic fluids, in magnetic suspension densimeters. For a two-sinker densimeter, the forces on the balance are written out for each of the weighings comprising a density determination (i.e., the two sinkers plus balance calibration and tare weights). This yields a system of four equations which are solved for the fluid density, a balance calibration factor, a coupling factor (related to the FTE), and a quantity related to the balance tare. For a single-sinker densimeter, an in situ weighing of the sinker in vacuum compensates for the FTE of the apparatus itself. A determination of the fluid-specific effect requires measurements with two different sinkers-analogous to the two-sinker analysis, but with the measurements spread out over time. The apparatus part of the FTE is generally less than {plus or minus} 20 ppm. Measurements on propane, helium, neon, nitrogen, argon, toluene, and air are analyzed for the fluid-specific effect; this effect is correlated with the magnetic susceptibility of the fluid together with an apparatus constant. With this analysis, the force transmission "error" becomes an effect which can be accounted for rather than a significant source of uncertainty in density measurements carried out using magnetic suspension densimeters.
International Journal of Thermophysics


densimeter, density, magnetic susceptibility, magnetic suspension coupling


McLinden, M. , Kleinrahm, R. and Wagner, W. (2007), Force transmission errors in magnetic suspension densimeters, International Journal of Thermophysics, [online], (Accessed July 15, 2024)


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Created April 2, 2007, Updated June 2, 2021