scholarly journals Closure to “Discussions of ‘An Application of a Free Volume Model to Lubricant Rheology I—Dependence of Viscosity on Temperature and Pressure’” (1984, ASME J. Tribol., 106, p. 302)

1984 ◽  
Vol 106 (2) ◽  
pp. 302-303
Author(s):  
S. Yasutomi ◽  
S. Bair ◽  
W. O. Winer
Keyword(s):  
Free Volume ◽  
Volume Model ◽  
Free Volume Model ◽  
Temperature And Pressure ◽  
Lubricant Rheology

An Application of a Free Volume Model to Lubricant Rheology 2—Variation in Viscosity of Binary Blended Lubricants

1984 ◽  
Vol 106 (2) ◽  
pp. 304-311 ◽  
Author(s):  
S. Yasutomi ◽  
S. Bair ◽  
W. O. Winer
Keyword(s):  
High Pressure ◽  
Binary Mixture ◽  
Free Volume ◽  
Mineral Oil ◽  
Practical Applications ◽  
Polyphenyl Ether ◽  
Volume Model ◽  
Wlf Equation ◽  
Free Volume Model ◽  
Lubricant Rheology

The modified WLF equation developed in Part 1 was applied to the variation in viscosity, μ(T,P), for two series of binary blended lubricants containing a common synthetic diester (di(2ethylhexyl)sebacate) in a polyphenyl ether (5P4E) and in a naphthenic mineral oil (N1). Dilatometric observations and the viscosity analysis indicate that the relations needed to predict the pressure functions in the modified WLF equation for the binary mixture can be obtained from those of respective components. These relations allow us to estimate μ(T,P) of a binary blended lubricant without measurements of the high pressure viscosity of the blend. For practical applications, the modified WLF equation may also be useful for predicting μ(T,P) of blended lubricant products.

An Application of a Free Volume Model to Lubricant Rheology I—Dependence of Viscosity on Temperature and Pressure

1984 ◽  
Vol 106 (2) ◽  
pp. 291-302 ◽  
Author(s):  
S. Yasutomi ◽  
S. Bair ◽  
W. O. Winer
Keyword(s):  
Free Volume ◽  
Pressure Dependence ◽  
Pressure Effects ◽  
Mineral Oils ◽  
Volume Model ◽  
Free Volume Model ◽  
Synthetic Lubricants ◽  
Temperature And Pressure ◽  
Lubricant Viscosity ◽  
Dielectric Transition

Analyses of the dependence of lubricant viscosity on temperature and pressure, μ(T,P), have been carried out by using a modified WLF equation in which pressure effects on viscosity are given in terms of the pressure dependence of the glass transition temperature, Tg, and of thermal expansivity of free volume, αf. logμ(T,P)=logμg−C1•(T−Tg(P))•F(P)C2+(T−Tg(P))•F(P) where C1 and C2 are well known WLF constants, and μg is a viscosity at Tg. Tg(P) and F(P) are functions for describing the pressure dependence of Tg and αf, respectively. On the basis of the iso-viscous concept for Tg(P), μg has been assumed to have a constant value, 1 TPa•s, at any pressure (SCHEME I). SCHEME I yields a reasonable variation in Tg and αf with pressure for synthetic lubricants, while this analysis suggests a lower μg for mineral oils. In order to improve the applicability of the free volume model, a reference temperature Ts(P), at which the viscosity is 10 MPa•s, has been introduced instead of Tg(P) (SCHEME II). Analyses of dielectric transition for some lubricants and of μ(T,P) in the ASME Pressure-Viscosity Report have confirmed the excellent applicability of the present free volume model over wide ranges of temperature and pressure.

scholarly journals Effect of an Improved Yasutomi Pressure-Viscosity Relationship on the Elastohydrodynamic Line Contact Problem

2013 ◽  
Vol 2013 ◽  
pp. 1-7
Author(s):  
Vincenzo Petrone ◽  
Adolfo Senatore ◽  
Vincenzo D'Agostino
Keyword(s):  
High Pressure ◽  
Film Thickness ◽  
Free Volume ◽  
Experimental Studies ◽  
Line Contact ◽  
Volume Model ◽  
Free Volume Model ◽  
Pressure Area ◽  
New Formulation ◽  
Lubricant Viscosity

This paper presents the application of an improved Yasutomi correlation for lubricant viscosity at high pressure in a Newtonian elastohydrodynamic line contact simulation. According to recent experimental studies using high pressure viscometers, the Yasutomi pressure-viscosity relationship derived from the free-volume model closely represents the real lubricant piezoviscous behavior for the high pressure typically encountered in elastohydrodynamic applications. However, the original Yasutomi correlation suffers from the appearance of a zero in the function describing the pressure dependence of the relative free volume thermal expansivity. In order to overcome this drawback, a new formulation of the Yasutomi relation was recently developed by Bair et al. This new function removes these concerns and provides improved precision without the need for an equation of state. Numerical simulations have been performed using the improved Yasutomi model to predict the lubricant pressure-viscosity, the pressure distribution, and the film thickness behavior in a Newtonian EHL simulation of a squalane-lubricated line contact. This work also shows that this model yields a higher viscosity at the low-pressure area, which results in a larger central film thickness compared with the previous piezoviscous relations.

Free volume model for positronium decay in molecular materials

1969 ◽  
Vol 28 (11) ◽  
pp. 760-761 ◽  
Author(s):  
B.V. Thosar ◽  
V.G. Kulkarni ◽  
R.G. Lagu ◽  
Girish Chandra
Keyword(s):  
Free Volume ◽  
Molecular Materials ◽  
Volume Model ◽  
Free Volume Model ◽  
Positronium Decay
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