A new viscosity-temperature relationship for mineral oil SAE 10W

Abstract

The purpose of this work was to determine a viscosity-temperature relationship for SAE 10W-60 engine oil. The rheological properties of this engine oil, for a temperature range of 20÷60 C, were obtained with RheolabQC rotational rheometer. For the first reference temperature of 40 C, the experimental result was obtained with a relative error of 1.29%. The temperature-dependent viscosity was modelled, comparatively, with the Arrhenius and the 3 rd degree polynomial models. Comparing the graphs of the fits with prediction bounds for 95% confidence level, as well as the goodness-of-fit statistics, the preliminary conclusion was that the 3 rd degree polynomial could be the best fit model. However, the fit model should be used also for extrapolation, for the second reference temperature of 100 C. This new approach changes the fit models order, the Arrhenius equation becoming the best fit model, because of the completely failed to predict the extrapolated value with the polynomial model.

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“…For this purpose, the following kinematic viscosities were used: 10.5 cSt, 2.7 cSt and 950 cSt, for temperatures of 40 • C, 100 • C and −30 • C, respectively. With these data and starting from the two-and three-parameter models [47], the continuous black and red lines, respectively, were obtained, giving the viscosity values for temperatures from 0 to 100 • C. The discrete data point represented by a circle corresponds to the experimental measurement carried out in our laboratory, as shown in Table 8, by the standard method [39]. The discrete data point represented by a triangle corresponds to the result of applying Equation (30) to the evolution over time of a bubble recorded with the image sensor, according to Table 8.…”

“…For this purpose, the follow cosities were used: 10.5 cSt, 2.7 cSt and 950 cSt, for temperatures of 40 °C, respectively. With these data and starting from the two-and three [47], the continuous black and red lines, respectively, were obtained, values for temperatures from 0 to 100 °C. The discrete data point rep corresponds to the experimental measurement carried out in our labo Table 8, by the standard method [39].…”