The scaled particle theory and the Tait equation of state

1993 ◽  
Vol 97 (6) ◽  
pp. 1220-1223 ◽  
Author(s):  
J. V. Leyendekkers
Keyword(s):  
Equation Of State ◽  
Scaled Particle Theory ◽  
Tait Equation ◽  
Particle Theory ◽  
Tait Equation Of State

Acoustic nonlinearity calculations using the Tait equation of state

1998 ◽  
Vol 103 (5) ◽  
pp. 3080-3080
Author(s):  
Bruce Hartmann ◽  
Gilbert F. Lee ◽  
Edward Balizer
Keyword(s):  
Equation Of State ◽  
Tait Equation ◽  
Acoustic Nonlinearity ◽  
Tait Equation Of State

Equation of State Coupled with Scaled Particle Theory for Surface Tensions of Liquid Mixtures

2007 ◽  
Vol 46 (22) ◽  
pp. 7267-7274 ◽  
Author(s):  
Jinlong Li ◽  
Jun Ma ◽  
Changjun Peng ◽  
Honglai Liu ◽  
Ying Hu ◽  
...  
Keyword(s):  
Equation Of State ◽  
Liquid Mixtures ◽  
Scaled Particle Theory ◽  
Surface Tensions ◽  
Particle Theory

Revisiting the Compressibility of Oil/Refrigerant Lubricants

2016 ◽  
Vol 139 (2) ◽  
Author(s):  
Scott Bair ◽  
Mark Baker ◽  
David M. Pallister
Keyword(s):  
High Pressure ◽  
Equation Of State ◽  
Master Curve ◽  
Pressure Measurements ◽  
Tait Equation ◽  
Tait Equation Of State ◽  
Metal Bellows ◽  
Volume Compression ◽  
Volumetric Behavior ◽  
Usual Problem

A fixture was fabricated for the purpose of restraining the expansion of an existing metal bellows piezometer so that a refrigerant and oil mixture can be admitted under pressure. Measurements on a polyol ester (POE) with 9.2 wt.% of R134a show that the addition of refrigerant slightly increases compressibility. The previously reported reduction in compressibility (increase in bulk modulus) by Tuomas and Isaksson (2006, “Compressibility of Oil/Refrigerant Lubricants in Elasto-Hydrodynamic Contacts,” ASME J. Tribol., 128(1), pp. 218–220) of an ISO 68 POE when mixed with R134a cannot be supported by precise measurements of the volume compression. The increased compressibility found by Comuñas and co-workers (2002, “High-Pressure Volumetric Behavior of x 1, 1, 1, 2-Tetrafluoroethane + (1 − x) 2, 5, 8, 11, 14-Pentaoxapentadecane (TEGDME) Mixtures,” J. Chem. Eng. Data, 47(2), pp. 233–238) is the correct trend. The Tait equation of state (EoS) has been fitted to the data for both the neat POE and its 9.2% by weight mixture with refrigerant. The usual problem was encountered for the mixture with the Tait EoS at low pressure where the compressibility becomes greater than predicted due to proximity to the vapor dome. The measured relative volumes of the mixture can be used to collapse the viscosity to a master curve when plotted against the Ashurst–Hoover thermodynamic scaling parameter. The thermodynamic scaling interaction parameter is approximately the same as for the neat oil.

scholarly journals Modeling of pvT behavior of semi-crystalline polymer based on the two-domain Tait equation of state for injection molding

2019 ◽  
Vol 183 ◽  
pp. 108149 ◽  
Author(s):  
Jian Wang ◽  
Christian Hopmann ◽  
Mauritius Schmitz ◽  
Tobias Hohlweck ◽  
Jens Wipperfürth
Keyword(s):  
Equation Of State ◽  
Injection Molding ◽  
Crystalline Polymer ◽  
Tait Equation ◽  
Tait Equation Of State ◽  
Pvt Behavior

scholarly journals Statistical mechanics of hard spheres: the scaled particle theory of the hard sphere fluid revisited

2018 ◽  
Vol 1 (1) ◽  
Author(s):  
Bruno Baeyens
Keyword(s):  
Equation Of State ◽  
Hard Sphere ◽  
Hard Spheres ◽  
Virial Coefficients ◽  
Scaled Particle Theory ◽  
Particle Theory ◽  
Simulation Data ◽  
Hard Sphere Fluid ◽  
Two Parameters ◽  
Compressibility Factors

The aim of this paper is to exhaust the possibilities offered by the scaled particle theory as far as possible and to confirm the reliability of the virial coefficients found in the literature, especially the estimated ones: B i for i > 11. In a previous article (J.Math.Phys.36,201,1995) a theoretical equation of state for the hard sphere fluid was derived making use of the ideas of the so called scaled particle theory which has been developed by Reiss et al.(J.Chem.Phys.31,369,1959). It contains two parameters which could be calculated. The equation of state agrees with the simulation data up to high densities, where the fluid is metastable. The derivation was besed on a generalized series expansion. The virial coefficients B 2 , B 3 and B 4 are exactly reproduced and B 5 , B 6 and B 7 to within small deviations, but the higher ones up to B 18 are systematically and significantly smaller than the values found in the literature. The scaled particle theory yields a number of equations of which only four were used. In this paper we make use of seven equations to calculate the compressibility factors of the fluid. They agree with the simulation data slightly better than those yielded by the old equation. Moreover, the differences between the calculated virial coefficients B i and those found in the literature up to B 18 are very small (less than 4 percent).

About the Usage of Scaling Parameters in the Scaled Particle Theory of Mixtures of Non-Additive Hard Spheres

1993 ◽  
Vol 48 (8-9) ◽  
pp. 899-905 ◽  
Author(s):  
H. M. Schaink
Keyword(s):  
Equation Of State ◽  
Hard Spheres ◽  
Present Theory ◽  
Scaled Particle Theory ◽  
Particle Theory ◽  
Scaling Parameters ◽  
Third Virial Coefficient ◽  
Theory Of Mixtures ◽  
The One ◽  
Compressibility Factors

Abstract A new simple equation of state is derived for symmetric and asymmetric mixtures of non-additive hard spheres. The derivation of the equation of state is reminiscent of the scaled particle theory. However, this method uses two scaling parameters, which depend on the composition of the mixture. As a result, the equation of state presented here approaches in a natural way the limit of the one component fluid. This feature of the present theory stands in sharp contrast to common scaled particle theories for non-additive hard spheres, where the one component limit has an unphysical dependence on the non-additivity. The equation of state can be used for mixtures of particles that differ in size and has a second and a third virial coefficient which are exact up to first order in the non-additivity. The compressibility factors and the demixing densities predicted by the present equation of state are in fairly good agreement which available MC data.

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