A new cubic equation of state for fluids and fluid mixtures

Patel, Navin C.; Teja, Amyn S.

doi:10.1016/0009-2509(82)80099-7

Cited by 845 publications

(428 citation statements)

References 10 publications

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“…All of them give fixed critical compressibility factor (Z c ) considerably higher than experimental values. To tackle this drawback, Patel and Teja (1982) put forward a three-parameter CEOS, known as PT-EOS, which includes adjustable Z c by introducing a third parameter into EOS. Apart from varying Z c , PT-EOS was an effort to extent applicability of CEOSs for polar substances such as water and alcohols.…”

Section: Valderrama-patel-teja Equation Of State (Vpt-eos)mentioning

confidence: 99%

New insight into prediction of phase behavior of natural gas hydrate by different cubic equations of state coupled with various mixing rules

Dehaghani

2017

Pet. Sci.

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Progress in hydrate thermodynamic study necessitates robust and fast models to be incorporated in reservoir simulation softwares. However, numerous models presented in the literature makes selection of the best, proper predictive model a cumbersome task. It is of industrial interest to make use of cubic equations of state (EOS) for modeling hydrate equilibria. In this regard, this study focuses on evaluation of three common EOSs including Peng-Robinson, Soave-Redlich-Kwong and Valderrama-Patel-Teja coupled with van der Waals and Platteeuw theory to predict hydrate P-T equilibrium of a real natural gas sample. Each EOS was accompanied with three mixing rules, including van der Waals (vdW), Avlonitis non-density dependent (ANDD) and general nonquadratic (GNQ). The prediction of cubic EOSs was in sufficient agreement with experimental data and with overall AARD% of less than unity. In addition, PR plus ANDD proved to be the most accurate model in this study for prediction of hydrate equilibria with AARD% of 0.166. It was observed that the accuracy of cubic EOSs studied in this paper depends on mixing rule coupled with them, especially at high-pressure conditions. Lastly, the present study does not include any adjustable parameter to be correlated with hydrate phase equilibrium data.

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Section: Valderrama-patel-teja Equation Of State (Vpt-eos)mentioning

confidence: 99%

New insight into prediction of phase behavior of natural gas hydrate by different cubic equations of state coupled with various mixing rules

Dehaghani

2017

Pet. Sci.

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“…It also appears that the phase transition density range differs noticeably. Many authors have proposed enhanced version of Van der Waals equations by modifying either the attractive and repulsive terms (Redlich and Kwong, 1949, Peng and Robison, 1976, Patel and Teja, 1982, Reiss et al, 1959. In the present work, the aim is to reduce the fragmentation phase diagram with as simple an EOS as possible.…”

Section: ) Van Der Waals -Type Eosmentioning

confidence: 99%

“…The physics of granular material in breakage conditions differs of liquid-vapour phase change, as already mentioned with respect to Antoine relation. Variants of the van der Waals EOS (Redlich and Kwong, 1949, Peng and Robison, 1976, Patel and Teja, 1982, Reiss et al, 1959 consequently seem inappropriate as well.…”

Section: ) Van Der Waals -Type Eosmentioning

confidence: 99%

Phase diagram of crushed powders

Bodard¹,

Jalbaud

Saurel

et al. 2016

Physics of Fluids

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Compression of monodisperse powder samples in quasistatic conditions is addressed in a pressure range such that particles fragmentation occurs while the solid remains incompressible (typical pressure range of 1-300 MPa for glass powders). For a granular bed made of particles of given size, the existence of three stages is observed during compression and crush up. First, classical compression occurs and the pressure of the granular bed increases along a characteristic curve as the volume decreases. Then, a critical pressure is reached for which fragmentation begins. During the fragmentation process, the granular pressure stays constant in a given volume range. At the end of this second stage, 20% to 50% of initial grains are reduced to finer particles, depending on the initial size. Then compression undergoes the third stage and the pressure increases along another characteristic curve, in the absence of extra fragmentation. The present paper analyses the analogies between phase transition in liquid-vapour systems and powder compression with crush-up. Fragmentation diagram of soda lime glass granular beds is determined by experimental means. The analogues of the saturation pressure and latent heat of phase change are determined. Two thermodynamic models are then examined to represent the crushup diagram. The first one uses piecewise functions while the second one is of van der Waals type. Both equations of state relate granular pressure, solid volume fraction and initial particle diameter. The piecewise functions approach provides reasonable representations of the phase diagram while the van der Waals one fails.

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“…We have made similar investigations on some cubic equations of state, including the Peng-Robinson (PR) [9], Soave-Redlich-Kwong (SRK) [10], Yu-Lu (YL) [11], Deiters (D) [12,13], Patel-Teja (PT) [14], modified-Soave-Redlich-Kwong (MSRK) [15], Redlich-Kwong (RK) [16], and Soave-Peng-Robinson-Stryjek-Vera (SPRSV) [17]. The predicted T versus ρ on a Z = 1 contour given by these EOSs are compared with the experimental Zeno line in Fig.…”

Section: Ability Of Cubic Eoss To Predict the Zeno Linementioning

confidence: 99%

Analysis of Different EOSs in Predicting the Ideal Curve and Deriving the Temperature Dependencies of Their Parameters

Parsafar

Saydi

2004

International Journal of Thermophysics

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The regularity shown by different fluids along the contour of the ideal compressibility factor Z = P V /(RT ) = 1 in the temperature-density plane is used to test the accuracy of different equations of state and derive temperature dependencies of their parameters. For a wide range of pure fluids, this contour, known as the Zeno line, has been empirically observed to be nearly linear. The precision of the van der Waals (vdW) equation in predicting the Zeno line has been evaluated and shown that this equation predicts a linear relation between temperature and density on the Z = 1 contour, qualitatively. However, the line shows significant deviations from the experimental Zeno line. Experimental PVT data for CO 2 is used to obtain the temperature dependencies of the vdW parameters. The vdW equation with such temperature dependencies does not show a straight line for the Z = 1 contour. This means that the equation is not able to predict the Zeno line, both qualitatively and quantitatively. Also, the accuracy of the modified vdW equations in predicting the Zeno line has been investigated. It is shown that none of these equations can predict the Zeno line qualitatively. However, the predicted line on the Z = 1 contour given by some of these equations is near the experimental Zeno line. Assuming that the Zeno line must hold, the temperature dependence of the non-ideal thermal pressure, A , of the linear isotherm regularity as A = a + bT + c/T has been derived. Such a temperature dependence was confirmed by experimental data. The derived expression for A was used to obtain the temperature dependence of the thermal pressure coefficient, which is in accordance with experimental data. Also, the temperature dependencies of the parameters of the dense system equation of state

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A new cubic equation of state for fluids and fluid mixtures

Cited by 845 publications

References 10 publications

New insight into prediction of phase behavior of natural gas hydrate by different cubic equations of state coupled with various mixing rules

New insight into prediction of phase behavior of natural gas hydrate by different cubic equations of state coupled with various mixing rules

Phase diagram of crushed powders

Analysis of Different EOSs in Predicting the Ideal Curve and Deriving the Temperature Dependencies of Their Parameters

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