A generalized corresponding-states method for the prediction of surface tension of pure liquids and liquid mixtures

Rice, P.; Teja, Amyn S.

doi:10.1016/0021-9797(82)90051-0

Cited by 59 publications

(37 citation statements)

References 11 publications

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“…Similar to the expression of Rice and Teja (1982) T,, P,, w and u are the critical temperature and pressure, the acentric factor and the interfacial tension, respectively.…”

Section: Corresponding-states Theorymentioning

confidence: 94%

Corresponding‐states and parachor models for the calculation of interfacial tensions

Zuo

Stenby

1997

Can J Chem Eng

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A generalized corresponding-states model based on two reference fluids and a parachor correlation were developed for the prediction of interfacial tensions for non-polar and weakly polar pure fluids and mixtures. Pure methane and n-octane were chosen as reference fluids of the corresponding-states model. The two models were tested on 86 pure substances, more than 30 binary and multicomponent mixtures, 1 1 naphtha reformate cuts, 6 petroleum cuts and 2 North Sea oil mixtures. The calculated results were found to be in good agreement with experimental data.Un modele d'etats correspondants generalise s'appuyant sur deux fluides de reference et une correlation de parachor a ete mis au point pour la prediction des tensions interfaciales pour des fluides et des melanges purs non polaires et legerement polaires. Du methane et du n-octane purs ont ete choisis comme fluides de reference du modele d'etats correspondants. Les deux modeles ont ete testes sur 86 substances pures, plus de 30 melanges binaires et multicomposants, 11 coupes de reformat de naphta, 6 coupes de petrole et 2 melanges de petrole de la mer du Nord. On a trouve un bon accord entre les resultats calcules et les donnees experimentales.Keywords: corresponding-states, parachor, interfacial tension, reference fluids.he interfacial tension (IFT) is an important parameter for T modeling many secondary and tertiary recovery processes of petroleum reservoir fluids. In immiscible displacements, the efficiency of the recovery process is influenced by the IFT between the fluid phases present in the reservoir. In gas condensate systems, for instance, the low JFT is the dominant fluid property which determines relative permeabilities and residual liquid saturations. There are several methods available for predicting IFTs, e.g. the parachor method, the gradient theory and the corresponding-states theory.The standard method of IFT predictions in reservoir simulators is the parachor method proposed by Weinaug and Katz (1943) and its extensions. The parachor method is sensitive to the accuracy of the parachor because of the fourth power relationship between the IFT and the parachor. Gasem et al. (1989) compared the Weinaug-Katz (1943), Lee-Chien (1984) and Hugill-van Welsenes (1986) models. The results indicated that each of these models could represent the data with average errors of less than 10% if a scaling exponent of 3.6 was incorporated in the models and some parameters were tuned to fit experimental data. More recently, Ali (1994) reviewed the methods for estimating the parachors of petroleum fractions and pseudocomponents and compared seven existing IFT correlations. All the correlations predicted the results with deviations around 2040%.The gradient theory (GT) of interfaces has been successfully used for estimating interfacial properties of pure fluids and mixtures (Carey et al., 1978, Sahimi and Taylor, 1991, Cornelisse et al., 1993. However, since the GT is complicated and time-consuming, it is difficult to apply the GT to multicomponent mixtures and re...

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“…Similar to the expression of Rice and Teja (1982) T,, P,, w and u are the critical temperature and pressure, the acentric factor and the interfacial tension, respectively.…”

Section: Corresponding-states Theorymentioning

confidence: 94%

Corresponding‐states and parachor models for the calculation of interfacial tensions

Zuo

Stenby

1997

Can J Chem Eng

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“…16-22. Table 1 lists the average absolute deviationsδ a between the experimental data of some polar mixtures and the values calculated by the simplified gradient theory with the VTPR and VTSRK EOSs, and the table also includes the results calculated using the parachor method [5] and the corresponding-states method [6] for comparison. The binary interaction coefficient k i j , temperature range, number of experimental data points N , and references for experimental surface tension data are also listed in Table 1.…”

Section: Surface Tension Of Binary Polar Mixturesmentioning

confidence: 99%

“…The parachor method [1][2][3][4][5], the corresponding states principle [6][7][8], perturbation theory [9,10], density functional theory [11][12][13][14][15], and gradient theory can be used to calculate the surface tension of heterogeneous fluids. Among these theories, the gradient theory is currently a very popular method for predicting surface tension and has satisfactory precision for pure fluids and mixtures.…”

mentioning

confidence: 99%

Simplified Gradient Theory Modeling of the Surface Tension for Binary Mixtures

2008

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In this work, the gradient theory was combined with the volume translation Peng-Robinson and Soave Redlich-Kwong equations of state (VTPR and VTSRK EOSs) and the influence parameter correlation to predict the surface tension of binary mixtures. The density profiles of mixtures across the interface were assumed to be linearly distributed to simplify the gradient theory model. The only two inputs of the theory are the Helmholtz free-energy density of the homogeneous fluid and the influence parameter of the inhomogeneous fluid. The VTPR and VTSRK equations of state were applied to determine the Helmholtz free-energy density and the bulk properties. The influence parameter of the inhomogeneous fluid was calculated from a correlation published previously (Lin et al. Fluid Phase Equilib 254:75, 2007). The only adjustable coefficient of the simplified gradient theory was set equal to zero, which made the theory predictive. The surface tension predicted by this model shows good agreement with experimental data for binary non-polar and polar mixtures.

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“…The application of corresponding-states models extends from equilibrium properties such as vapor pressure [24][25][26][27][28], liquid density [11,26,[28][29][30], or surface tension [12,13,15,16,26,31,32] to transport properties such as viscosity [11,26,[33][34][35][36] and thermal conductivity [14,26,[37][38][39].…”

Section: Corresponding-states Principlementioning

confidence: 99%

Corresponding-States Modeling of the Speed of Sound of Long-Chain Hydrocarbons

Queimada

Coutinho²,

Marrucho³

et al. 2006

Int J Thermophys

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Models based on the corresponding-states principle have been extensively used for several equilibrium and transport properties of different pure and mixed fluids. Some limitations, however, have been encountered with regard to its application to long chain or polar molecules. Following previous studies, where it was shown that the corresponding-states principle could be used to predict thermophysical properties such as vapor-liquid interfacial tension, vapor pressure, liquid density, viscosity, and thermal conductivity of longchain alkanes, the application of the corresponding-states principle to the estimation of speeds of sound, with a special emphasis on the less studied heavier n-alkane members, is presented. Results are compared with more than four thousand experimental data points as a function of temperature and pressure for n-alkanes ranging from ethane up to n-hexatriacontane. Average deviations are less than 2%, demonstrating the reliability of the proposed model for the estimation of speeds of sound.

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A generalized corresponding-states method for the prediction of surface tension of pure liquids and liquid mixtures

Cited by 59 publications

References 11 publications

Corresponding‐states and parachor models for the calculation of interfacial tensions

Corresponding‐states and parachor models for the calculation of interfacial tensions

Simplified Gradient Theory Modeling of the Surface Tension for Binary Mixtures

Corresponding-States Modeling of the Speed of Sound of Long-Chain Hydrocarbons

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