Temperature and Pressure Dependence of the Free Volume of Liquid Glycerol

1964 ◽  
Vol 36 (5) ◽  
pp. 1040-1040
Author(s):  
Warren M. Slie ◽  
Theodore A. Litovitz
2006 ◽  
Vol 207 (8) ◽  
pp. 721-734 ◽  
Author(s):  
Duncan Kilburn ◽  
Jan Wawryszczuk ◽  
Günter Dlubek ◽  
Jürgen Pionteck ◽  
Rüdiger Häßler ◽  
...  

2005 ◽  
Vol 107 (4) ◽  
pp. 685-689 ◽  
Author(s):  
G. Dlubek ◽  
A. Sen Gupta ◽  
J. Wawryszczuk ◽  
D. Kilburn ◽  
J. Pionteck ◽  
...  

1984 ◽  
Vol 106 (2) ◽  
pp. 291-302 ◽  
Author(s):  
S. Yasutomi ◽  
S. Bair ◽  
W. O. Winer

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.


Author(s):  
S Bair

A thorough characterization of all viscous flow properties relevant to steady simple shear was carried out for five liquid lubricants of current interest to tribology. Shear stresses were generated to values significant to concentrated contact lubrication. Two types of non-Newtonian response were observed: shear-thinning as a power-law fluid and near rate-independence. Functions and parameters were obtained for the temperature and pressure dependence of the viscosity and of the time constant for the Carreau-Yasuda equation. Results are consistent with free volume and kinetic theory, but directly contradict many assumptions currently utilized for numerical simulation and for extracting rheological properties from contact measurements.


2003 ◽  
Vol 81 (1-2) ◽  
pp. 47-53 ◽  
Author(s):  
M B Helgerud ◽  
W F Waite ◽  
S H Kirby ◽  
A Nur

We report on compressional- and shear-wave-speed measurements made on compacted polycrystalline sI methane and sII methane–ethane hydrate. The gas hydrate samples are synthesized directly in the measurement apparatus by warming granulated ice to 17°C in the presence of a clathrate-forming gas at high pressure (methane for sI, 90.2% methane, 9.8% ethane for sII). Porosity is eliminated after hydrate synthesis by compacting the sample in the synthesis pressure vessel between a hydraulic ram and a fixed end-plug, both containing shear-wave transducers. Wave-speed measurements are made between –20 and 15°C and 0 to 105 MPa applied piston pressure. PACS No.: 61.60Lj


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