High-pressure rheology of lubricants is important for elucidating the lubrication state of metalworking, bearing and gear in the elastohydrodynamic lubrication (EHL) region. For this reason, the van der Waals liquid density equation was derived in a previous report and applied to the estimation of the high-pressure density. Furthermore, I accumulated the data on various lubricants for the three material-specific constants contained in this equation, the absolute zero density
ρt=0, the density constant
RD, and the pressure constant
PD. In this paper, in order to enable the estimation of the high-pressure density of unknown lubricants using this equation, we performed multiple regression analysis using three constants as the objective variables, and the lubricant’s physical properties and chemical structure as explanatory variables, to create a multiple regression equation. As a result, we report that it is possible to estimate the three constants of the van der Waals liquid density equation (
ρt=0 mr-eq.,
RD mr-eq., and
PD mr-eq.) and the high-pressure density
ρmr-eq. by simply analyzing the physical properties and chemical structure of an unknown lubricant using this multiple regression equation, without having to measure the high-pressure density experimentally using a high-pressure density measurement device.
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