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Published: 6 September 2023

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1

Ratnawati, Ratnawati. "Prediction Of Solubility Of Solid N-Paraffins In Supercritical Fluids Using Modified Redlich-Kwong Equation Of State." REAKTOR 8, no. 1 (June 19, 2017): 1. http://dx.doi.org/10.14710/reaktor.8.1.1-6.

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Three equation of state are used to predict solubilities of solid n-pafaffins in supercritical fluids. The equations are the Redlich-Kwong, the Soave-Redlich-Kwong, and equation proposed by Hartono et.al. (2003; 2004). Both the last two equations were formed by modificating the Redlich-Kwong equqtion of state. With the binary interactions parameter, kif , equals zero, the equations proposed by Hartono et.al. is better than both the Redlich-Kwong and the Soave-Redlich-Kwong equations of state are. Upon optimization with kif as the adjustable parameter, the equation of state proposed by Hartono et.al. is closer to the experimental data than the other equqtions are. For 142 data points of 12 systems the equation proposed by Hartono et. Al. gives the average deviation of 36.6%, while the Redlich-Kwong and the Soave-Redlich-Kwong give 66.7% and 65.8%, respectively.Keywords : equation of state, solubility, supercritical

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2

Trávníček, Petr, Tomáš Vítěz, and Tomáš Koutný. "The Equation of State of Biogas." Acta Universitatis Agriculturae et Silviculturae Mendelianae Brunensis 65, no. 2 (2017): 537–43. http://dx.doi.org/10.11118/actaun201765020537.

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The presented work deals with a state behavior of real gas, biogas. Theoretical approach was utilized for processing of this work. Compressibility factor was calculated with help of two equation of state – Van der Waals equation and Redlich‑Kwong equation. Constants a and b of both equations were calculated using geometric average of the constants of pure substances. On the basis of calculated data charts showing the dependence of compressibility factor and the pressure were created. These charts were created for temperatures 20 °C and 40 °C. Statistical analyses of data were carried out. The results showed that compressibility factor reached value from 0.997 to 0.97 (20 °C) and from 0.997 to 0.974 (40 °C) in the case Van der Waals equation and in the range of pressure from 100 kPa to 1000 kPa. In the case of Redlich‑Kwong equation these values were from 0.997 to 0.967 (20 °C) and from 0.997 to 0.974 (40 °C) in the same range of pressures.

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3

Trummler, T., M. Glatzle, A. Doehring, N. Urban, and M. Klein. "Thermodynamic modeling for numerical simulations based on the generalized cubic equation of state." Physics of Fluids 34, no. 11 (November 2022): 116126. http://dx.doi.org/10.1063/5.0122277.

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We further elaborate on the generalized formulation for cubic equation of state proposed by Cismondi and Mollerup [Fluid Phase Equilib. 232, 74–89 (2005)]. With this formulation, all well-known cubic equations of state can be described with a certain pair of values, which allow for a generic implementation of different equations of state. Based on this generalized formulation, we derive a complete thermodynamic model for computational fluid dynamics simulations by providing the resulting correlations for all required thermodynamic properties. For the transport properties, we employ the Chung correlations. Our generic implementation includes the often used equations of state Soave–Redlich–Kwong and Peng–Robinson and the Redlich–Kwong–Peng–Robinson equation of state. The first two assume a universal critical compressibility factor and are, therefore, only suitable for fluids with a matching critical compressibility. The Redlich–Kwong–Peng–Robinson overcomes this limitation by considering the equation of state parameter as a function of the critical compressibility. We compare the resulting thermodynamic modeling for the three equations of state for selected fluids with each other and CoolProp reference data. Additionally, we provide a Python tool called real gas thermodynamic python library (realtpl). This tool can be used to evaluate and compare the results for a wide range of different fluids. We also provide an implementation of the generalized form in OpenFOAM.

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4

Karima M. Putrus. "PREDICTION OF PHYSICAL & THERMODYNAMICAL PROPERTIES FOR BINARY SYSTEMS USING EQUATION OF STATE." Diyala Journal of Engineering Sciences 4, no. 2 (December 1, 2011): 12–28. http://dx.doi.org/10.24237/djes.2011.04202.

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A single equation of state (EOS) such as Soave – Redlich Kwong EOS can accurately describe both the liquid and vapour phase, therefore it is used for binary systems to predict some physical and thermodynamical properties. Two methods, which are Soave- Redlich Kwong and Generalized Compressibility Factor Correlation are compared and adopted for the cubic equation of state to calculate molar volume, density, viscosity, thermal conductivity, specific heat and compressibility factor. In this paper a computer program is developed requiring critical properties to perform these calculations. The results are compared with some available literature data, and we find that the computer programs are shown to be adequately reliable for this purpose, with deviation in some properties equal to (3.6%) as other predictive programs and procedures. Also from this comparison we notice that the Generalized Compressibility Factor Correlation method is better and more general than the Soave- Redlich Kwong

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5

OZOKWELU, E. D., and J. H. ERBAR. "AN IMPROVED SOAVE-REDLICH-KWONG EQUATION OF STATE." Chemical Engineering Communications 52, no. 1-3 (April 1987): 9–19. http://dx.doi.org/10.1080/00986448708911854.

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6

Soave, G. "20 years of Redlich-Kwong equation of state." Fluid Phase Equilibria 82 (February 1993): 345–59. http://dx.doi.org/10.1016/0378-3812(93)87158-w.

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7

Stateva, Roumiana P., and Stefan G. Tsvetkov. "Modelling of the Multiphase Behavior of Methane-Ethane-Nitrogen Mixture at Low Temperatures with an Equation of State." Collection of Czechoslovak Chemical Communications 57, no. 7 (1992): 1362–72. http://dx.doi.org/10.1135/cccc19921362.

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The paper discusses modelling of the multiphase behavior of the methane-ethane-nitrogen mixture, which is of a considerable interest for the natural gas and oil industries. The thermodynamic model is a modified Redlich-Kwong-Soave equation of state. The computer algorithm is based on a new approach to solving the isothermal multiphase flash problem, when the number and identity of the phases present at equilibrium are unknown in advance. The results demonstrate that Redlich-Kwong-Soave equation of state and the algorithm applied predict with reasonable accuracy the complicated phase behavior and the region of L1L2V equilibrium, observed in the experiment, of the methane-ethane-nitrogen system.

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8

Gomes, Michelle G., Nattácia R. A. F. Rocha, Alex A. Moura, Nadine P. Merlo, Moilton R. Franco Júnior, and Patrisia O. Rodrigues. "Prediction of Liquid Molar Volume and Heat of Vaporization of Fatty Acids Using an Equation of State." Current Physical Chemistry 10, no. 3 (November 4, 2020): 189–98. http://dx.doi.org/10.2174/1877946809666191129110018.

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Background:: The liquid molar volume (V) and the heat of vaporization (ΔHVAP) of four fatty acids (n-Heptanoic acid, Hexadecanoic acid, n-Hexanoic acid and n- Dodecanoic acid) have been estimated. Objective:: This paper aims to calculate the liquid molar volume and the heat of vaporization of four fatty acids under the critical point using two traditional equations of state: Peng-Robinson (PR) [21] and Soave-Redlich-Kwong. Methods: The area rules method applicable to obtaining the saturation pressure of the compounds has been used. The properties of the acids investigated in this work have been compared with those provided by literature. For molar volumes, the equations of state have given improved predictions when compared to traditional equations such as Rackett equation and so on. According to the vapor enthalpy calculations, no reference value was required. Results: In general, the Clausius-Clapeyron equation provides a better estimation of the vaporization enthalpy of fatty acids when Soave-Redlich-Kwong (SRK) equation was used. The heat of vaporization for fatty acids can be calculated with good reliability in comparison with the Watson equation if suitable equation of state is used. Conclusion: Accurate results for heat of vaporization can be reached in comparison with the Watson equation if the reliable equation of state is used.

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9

Novák, Josef P., Anatol Malijevský, and Ivan Cibulka. "Calculation of Orthobaric Densities from Equations of State." Collection of Czechoslovak Chemical Communications 64, no. 7 (1999): 1087–92. http://dx.doi.org/10.1135/cccc19991087.

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A numerical method for calculation of densities of saturated vapour and liquid phases, and of saturated vapour pressure using an equation of state is proposed. The method proved to be both robust and efficient using the Redlich-Kwong equation of state for methane. The method can be straightforwardly extended for the case of multicomponent systems.

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10

TIAN, JIANXIANG, HUA JIANG, and YI XU. "A PROPERTY OF THE SATURATED VAPOR PRESSURE: RESULTS FROM EQUATIONS OF STATE." Modern Physics Letters B 23, no. 26 (October 20, 2009): 3091–96. http://dx.doi.org/10.1142/s0217984909021156.

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Experimentally, a maximum point in the curve of the saturated property ψ=(1-Tr)Pr versus the saturated temperature was postulated (High Temp.-High Press.26 (1994) 427). Here, Tr is the saturated temperature reduced by the critical temperature and Pr is the saturated pressure reduced by the critical pressure. Later, this behavior was applied to assure the saturated vapor pressure critical amplitudes (Appl. Phys. Lett.90 (2007) 141905). In this paper, we indicate that theory of equation of state (EOS) can predict this maximum point. The EOSs we study are the combinations of the hard sphere repulsions and some normally used attractions such as the Redlich–Kwong attraction. We find the EOSs with Redlich–Kwong attractive terms give out the results in the experimental range.

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11

Heidaryan, Ehsan, and Azad Jarrahian. "Modified Redlich⿿Kwong equation of state for supercritical carbon dioxide." Journal of Supercritical Fluids 81 (September 2013): 92–98. http://dx.doi.org/10.1016/j.supflu.2013.05.009.

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12

Wang, Yong, Mingliang Chang, Long Chen, Shouxi Wang, Shihao Fan, and Dongyang Hua. "Evaluation of Prediction Models for the Physical Properties in Fire-Flooding Exhaust Reinjection Process." Energies 15, no. 2 (January 13, 2022): 562. http://dx.doi.org/10.3390/en15020562.

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The reinjection of the fire-flooding exhaust is a novel disposal process for handling the exhaust produced by the in-situ combustion technology. For reasonable process design and safe operation, it is of great significance to select an optimum property calculation method for the fire-flooding exhaust. However, due to the compositional particularity and the wide range of operating parameters during reinjection, the state equations in predicting the exhaust properties over the wide range of operating parameters have not been studied clearly yet. Hence, this paper investigates the applicability of several commonly-used equations of state, including the Soave–Redlich–Kwong equation, Peng–Robinson equation, Lee–Kesler–Plocker equation, Benedict–Webb–Rubin–Starling equation, and GERG-2008 equations. Employing Aspen Plus software, the gas densities, compressibility factors, volumetric coefficients, and dew points for five exhaust compositions are calculated. In comparison with the experimental data comprehensively, the result indicates that the Soave–Redlich–Kwong equation shows the highest precision over a wide range of temperature and pressure. The mean absolute percentage error for the above four parameters is 3.84%, 5.17%, 5.53%, and 4.33%, respectively. This study provides a reference for the accurate calculation of the physical properties of fire-flooding exhausts when designing and managing a reinjection system of fire-flooding exhaust.

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13

Vorobieva, Hanna S. "Modification of the Redlich-Kwong-Aungier Equation of State to Determine the Main Thermodynamic Parameters in the Pure Liquid CO2 Region." Journal of Mechanical Engineering 25, no. 1 (June 30, 2022): 6–13. http://dx.doi.org/10.15407/pmach2022.02.006.

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The most important parameters for determining the state of real gas and the thermodynamic properties of the working fluid in a pure liquid region are pressure, specific volume, enthalpy and entropy. The paper presents a modified Redlich-Kwong-Aungier equation of state for determining pressure, specific volume, enthalpy and entropy in the pure liquid phase of real gas. CO2 was selected as the studied working fluid. When solving this problem, the author identified the main parameters of liquid carbon dioxide thermo-dynamics with the least error in comparison with experimental data in a wide range from 220 K to 300 K. It is possible to calculate pressure, specific volume, density, enthalpy and entropy of liquid CO2 with the help of the proposed method, for which the initial data are temperature, density, critical properties, molar mass and acentric factor of the working fluid. In particular, a modified Redlich-Kwong-Aungier equation is used to calculate the pressure of the working fluid. The author proposes a correlation equation of the scale correction, which is used in the Redlich-Kwong-Aungier equation for CO2 in the region of pure liquid phase. The results obtained for the pressure, enthalpy and entropy of liquid CO2 showed good agreement with the basic values, which provides the application of the proposed method in the field of pure liquid CO2, limited by the temperature range from 220 K to 300 K. The simplicity of the equation of state and the small number of empirical coefficients allows to use this method to solve practical problems of computational gas dynamics without spending a lot of time on calculations.

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14

Ratnawati, Ratnawati. "VAN DER WAALS MIXING RULES FOR THE REDLICH-KWONG EQUATION OF STATE. APPLICATION FOR SUPERCRITICAL SOLUBILITY MODELING." Reaktor 10, no. 2 (December 15, 2006): 96. http://dx.doi.org/10.14710/reaktor.10.2.96-102.

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A solid-supercritical fluid system is highly asymmetric in terms of the size and energy differences of the components. The key point in extending a cubic equation of state to such system is on the choice of proper mixing rules. New mixing rules for the Redlich-Kwong equation of state are developed. The developement is based on the statistical-mechanical theory of the van der Waals mixing rules. The Redlich Kwong equation of state with the proposed mixing rules along with the original ones is used to predict solubilities of solids in supercritical fluid. The prediction is done with kij equal zero, as well as with optimized kij. The results show superiority of the proposed mixing rules over the original ones. For most of the systems considered, the proposed mixing rules with the kij equal zero are closer to the experimental data than the original ones do. For 28 systems with 521 data points taken from various sources, the original and the proposed mixing rules give the overall AAD of 13.4%, while the original mixing rules give 45.9%.

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15

Xu, Xin-Hao, Yuan-Yuan Duan, and Zhen Yang. "Crossover Volume Translation Soave–Redlich–Kwong Equation of State for Fluids." Industrial & Engineering Chemistry Research 51, no. 18 (April 24, 2012): 6580–85. http://dx.doi.org/10.1021/ie300112j.

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16

Lin, Hong, Yuan-Yuan Duan, Tao Zhang, and Zhi-Min Huang. "Volumetric Property Improvement for the Soave−Redlich−Kwong Equation of State." Industrial & Engineering Chemistry Research 45, no. 5 (March 2006): 1829–39. http://dx.doi.org/10.1021/ie051058v.

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17

Saunderson, D. J., and R. A. Budiman. "Analysis of binary cycle efficiency using Redlich–Kwong equation of state." Proceedings of the Institution of Mechanical Engineers, Part A: Journal of Power and Energy 225, no. 5 (June 29, 2011): 567–78. http://dx.doi.org/10.1177/0957650911402443.

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18

Valderrama, Jose O., Héctor De la Puente, and Ahmed A. Ibrahim. "Generalization of a polar-fluid Soave-Redlich-Kwong equation of state." Fluid Phase Equilibria 93 (February 1994): 377–83. http://dx.doi.org/10.1016/0378-3812(94)87021-7.

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19

Chouaieb, O., and A. Bellagi. "New Attraction Term for the Soave-Redlich-Kwong Equation of State." Canadian Journal of Chemical Engineering 85, no. 6 (May 19, 2008): 854–62. http://dx.doi.org/10.1002/cjce.5450850606.

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20

Glisic, Sandra, Oscar Montoya, Aleksandar Orlovic, and Dejan Skala. "Vapor-liquid equilibria of triglycerides-methanol mixtures and their influence on the biodiesel synthesis under supercritical conditions of methanol." Journal of the Serbian Chemical Society 72, no. 1 (2007): 13–27. http://dx.doi.org/10.2298/jsc0701013g.

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The non-catalytic synthesis of biodiesel (fatty acids methyl esters) from triglycerides and methanol proceeds at elevated pressures above 100 bar and temperatures above 523 K. Kinetic investigations of the system revealed an unusual behavior of the reaction rate constant with increasing temperature and pressure. In order to explain this phenomenon, the phase behavior of the triglycerides-methanol mixture was investigated. The phase equilibria of the binary system sunflower oil-methanol were measured at different temperatures between 473 and 503 K, and a range of pressures between 10 and 56 bar. The experimental data were correlated using the Peng-Robinson, Soave-Redlich-Kwong and Redlich-Kwong-Aspen equations of state and different mixing rules. The best results were obtained with the RK-ASPEN equation of state and the Van der Waals mixing rule (VdW), which were then used to calculate the distribution of the phases at pressures and temperatures usual for the non-catalytic synthesis of biodiesel under high pressures. The obtained data indicated a strong influence of the phase equilibria on the reaction kinetics. .

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21

Nasri, Zakia, and Housam Binous. "Applications of the Soave–Redlich–Kwong Equation of State Using Mathematica®." JOURNAL OF CHEMICAL ENGINEERING OF JAPAN 40, no. 6 (2007): 534–38. http://dx.doi.org/10.1252/jcej.40.534.

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22

Bonyadi, Mohammad, and Mina Rostami. "A new viscosity model based on Soave-Redlich-Kwong equation of state." Fluid Phase Equilibria 451 (November 2017): 40–47. http://dx.doi.org/10.1016/j.fluid.2017.07.009.

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23

Kouremenos, D. A., and K. A. Antonopoulos. "Real gas normal shock waves with the redlich-kwong equation of state." Acta Mechanica 76, no. 3-4 (March 1989): 223–33. http://dx.doi.org/10.1007/bf01253581.

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24

Vorobiova, Hanna. "Modification of scaled equation of state to determine the pressure in the CO2 critical region." Technology audit and production reserves 3, no. 1(65) (June 30, 2022): 12–19. http://dx.doi.org/10.15587/2706-5448.2022.261858.

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The object of the research is carbon dioxide and its pressure distribution depending on the range of temperature and density in the region of the critical point. One of the most problematic areas of methods for finding thermodynamic parameters of a real gas is insufficient accuracy in calculations in the places of occurrence and rapid development of fluctuation phenomena, which are inherent in phase transitions of the first and second terms. For a more detailed and accurate description of the nature of the thermodynamic parameters in the region of the critical point, scaling and crossover equations of state were developed. Such equations, due to the presence of regular and scaling parts, allow describing the thermodynamic parameters of a real gas not only directly near the critical point, but also at some distance from it, maintaining a small error relative to experimental data. The article proposes an equation of state, which contains a scaling part described according to the rules of statistical physics, and a regular part in the form of a classical cubic equation of state. The equation is used to calculate the pressure of carbon dioxide in the region around the critical point from 300 K to 305 K. The article proposes a correlation equation for the scaling correction of the regular part (Redlich-Kwong-Aungier model) of the crossover equation of state, which is related to the scaling part the equation of state is a crossover function. The obtained results for the pressure in the critical region showed good agreement with the baseline data. The error relative to the experimental data is halved compared to the original model of the Redlich-Kwong-Aungier equation. The obtained results ensure the applicability of the proposed method in the temperature range from 300 K to 305 K. Due to the simplicity of the form of the regular equation of state and the small number of empirical coefficients for the large-scale equation of state, the obtained method can be used for practical problems of computational hydrodynamics without spending a lot of computing time.

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25

Ostrovski, Nikolaj, Predrag Stamenkovic, Franja Kenig, Sinisa Mauhar, and Branislava Barjaktarovic. "Technological and energetic improvement of a propylene distillation column." Chemical Industry 59, no. 5-6 (2005): 125–31. http://dx.doi.org/10.2298/hemind0506125o.

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A multicomponent distillation column for propylene purification was optimized in order to increase its energetic effectively. The ?-method coupled with the Soave-Redlich-Kwong equation of state for generating K-values and enthalpies was used. The optimal combination of pressure, temperature and reflux flow provided the decrease of steam consumption and loss of propylene with bottom flow.

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26

Gurgenova, Karina, Rafał Bogeł-Łukasik, and Paweł Wawrzyniak. "High Pressure Vapour-Liquid Equilibrium of Volatiles in Supercritical Carbon Dioxide." Chemical and Process Engineering 34, no. 3 (September 1, 2013): 387–92. http://dx.doi.org/10.2478/cpe-2013-0031.

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Abstract Binary vapour-liquid equilibrium of thymoquinone and carbon dioxide at the isothermal conditions was carried out at temperature 323.15 K and pressures from 6 to 10 MPa. The experimental data were fitted to the Soave-Redlich-Kwong equation of state. Results could be used for selection of process parameters in separation of volatiles from raw oil or for evaluation of existing separation technologies.

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27

Stateva, Roumiana P. "Predicting and Calculating Complex Phase Equilibrium in Supercritical Fluid Systems with a New Technique." Collection of Czechoslovak Chemical Communications 60, no. 2 (1995): 188–210. http://dx.doi.org/10.1135/cccc19950188.

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A general approach to multiphase equilibrium calculations with particular application to vapour-liquid-liquid and liquid-liquid-liquid systems is presented. The capabilities of the new technique to correctly predict and calculate complex phase equilibrium are tested on five highly non-ideal systems, relevant to supercritical fluid extraction. The thermodynamic models applied are the recently proposed MHV2 model and the Redlich-Kwong-Soave cubic equation of state.

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28

Deiters, Ulrich K. "Comments on the Heidaryan–Jarrahian variant of the Redlich–Kwong equation of state." Journal of Supercritical Fluids 117 (November 2016): 13–17. http://dx.doi.org/10.1016/j.supflu.2016.06.014.

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29

Kabadi, Vinayak N., and Ronald P. Danner. "A modified Soave-Redlich-Kwong equation of state for water-hydrocarbon phase equilibria." Industrial & Engineering Chemistry Process Design and Development 24, no. 3 (July 1985): 537–41. http://dx.doi.org/10.1021/i200030a004.

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30

Sandarusi, Jamal A., Arthur J. Kidnay, and Victor F. Yesavage. "Compilation of parameters for a polar fluid Soave-Redlich-Kwong equation of state." Industrial & Engineering Chemistry Process Design and Development 25, no. 4 (October 1986): 957–63. http://dx.doi.org/10.1021/i200035a020.

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31

Janeček, Jiří, Patrice Paricaud, Moussa Dicko, and Christophe Coquelet. "A generalized Kiselev crossover approach applied to Soave–Redlich–Kwong equation of state." Fluid Phase Equilibria 401 (September 2015): 16–26. http://dx.doi.org/10.1016/j.fluid.2015.04.024.

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32

Aungier, R. H. "A Fast, Accurate Real Gas Equation of State for Fluid Dynamic Analysis Applications." Journal of Fluids Engineering 117, no. 2 (June 1, 1995): 277–81. http://dx.doi.org/10.1115/1.2817141.

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A modified form of the Redlich-Kwong two-parameter equation of state is presented. The modified equation employs the acentric factor and the critical point compressibility factor as additional parameters to improve its accuracy and to extend its application range to include the critical point. This modified equation is as simple as the original form, yet achieves substantially better prediction accuracy, including thermodynamic parameters such as enthalpy and entropy. Results from this equation, the original equation, and three other popular modified forms are compared with gas property data for several compounds to demonstrate its improved accuracy and increased application range. Practical application limits to the other modified forms are identified to guide current users of those methods.

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33

Voňka, Petr, Pavel Dittrich, and Josef P. Novák. "A modification of the Redlich-Kwong-Soave equation of state and the determination of its parameters on the basis of saturated vapour pressures and second virial coefficients of pure substances." Collection of Czechoslovak Chemical Communications 54, no. 6 (1989): 1446–63. http://dx.doi.org/10.1135/cccc19891446.

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The temperature dependence of parameter a = a(Tr) of the Redlich-Kwong-Soave equation of state was modified. To calculate the corresponding individual parameters, an effective algorithm applying the Newton method was proposed. The parameters were determined for 60 substances, and the new modification correlates saturated vapour pressures from the values of pr = 0.001 to pr = 1.0 with the accuracy which is usually better than 0.2% and is comparable with that attained in terms of the Wagner equation. The modification proposed is utilized above all when applying the equation of state to the calculation of vapour-liquid equilibrium.

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34

Prieto Jiménez, Natalia, and Germán González Silva. "Comparative Study of Equations of State for the Dew Curves Calculation in High Pressure Natural Gas Mixtures. [Estudio Comparativo de Ecuaciones de Estado para el Cálculo de Curvas de Rocío en Mezclas de Gas Natural a Alta Presión]." Revista Logos Ciencia & Tecnología 11, no. 1 (December 30, 2018): 152–64. http://dx.doi.org/10.22335/rlct.v11i1.743.

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he success during the operation of natural gas processing plants depends on the correct estimation of thermodynamic properties of the system. This paper calculates the equilibrium curves of real and synthetic natural gas mixtures means of three Equations of State (EOS). These equilibrium curves were constructed and compared with experimental data found in the literature covered. The results showed that, above 4 MPa the Peng-Robinson equation presented a considerable deviation with respect to the experimental data, reaching an absolute error of 4.36%; therefore, the GERG2008 equation is recommended for systems that operate at high pressures when the components present in the mixture apply.Keywords:Gas Mixtures, Dew curves, Equations of State; Peng-Robinson, Soave-Redlich-Kwong, GERG2008.ResumenEl éxito durante la operación de plantas de tratamiento de gas natural depende de la correcta estimación de las propiedades termodinámicas del sistema. Este artículo calcula las curvas de equilibrio de mezclas de gas natural reales y sintéticas por medio de tres ecuaciones de estado (EOS). Estas curvas de equilibrio fueron construidas y comparadas con datos experimentales presentes en la literatura. Los resultados mostraron que, por encima de 4 MPa la ecuación de Peng-Robinson presentó una desviación considerable con respecto a los datos experimentales, alcanzando un error absoluto de 4,36%; por lo cual se recomienda la ecuación de GERG2008 para sistemas que operen a altas presiones cuando los componentes presentes en la mezcla apliquen.Palabras clave: Mezclas de gas, Curvas de rocío, Ecuaciones de estado, Peng-Robinson, Soave-Redlich-Kwong, GERG2008.ResumoO sucesso na operação de usinas de tratamento de gás natural depende da correta estimação das propriedades termodinâmicas do sistema. Este artigo calcula as curvas de equilíbrio de misturas de gás natural reais e sintéticas por meio de três equações de estado (EOS). As curvas de equilíbrio foram construídas e comparadas com dados experimentais presentes na literatura. Os resultados mostraram que, acima de 4 Mpa a equação de Peng-Robinson apresentou um desvio considerável em relação aos dados experimentais, atingindo um erro absoluto de 4,36%; por tanto, é recomendável a equação de GERG2008 para sistemas que operam em alta pressão quando os componentes presentes no sistema apliquem.Palavras-chave:Misturas de gás, Curvas de orvalho, Equações de estado, Peng-Robinson, Soave-Redlich-Kwong, GERG2008.

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Uilhoorn, Frits E. "A Comparison Between PSRK and GERG-2004 Equation of State for Simulation of Non-Isothermal Compressible Natural Gases Mixed with Hydrogen in Pipelines / Porównanie równań stanu opracowanych według metody PSRK oraz GERG-2004 wykorzystanych do symulacji zachowania ściśliwych mieszanin gazu ziemnego i wodoru w rurociągach, w warunkach przepływów nie-izotermicznych." Archives of Mining Sciences 58, no. 2 (June 1, 2013): 579–90. http://dx.doi.org/10.2478/amsc-2013-0040.

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In this work, the GERG-2004 equation of state based on a multi-fluid approximation explicit in the reduced Helmholtz energy is compared with the predictive Soave-Redlich-Kwong group contribution method. In the analysis, both equations of state are compared by simulating a non-isothermal transient flow of natural gas and mixed hydrogen-natural gas in pipelines. Besides the flow conditions also linepack-energy and energy consumption of the compressor station are computed. The gas flow is described by a set of partial differential equations resulting from the conservation of mass, momentum and energy. A pipeline section of the Yamal-Europe gas pipeline on Polish territory has been selected for the case study.

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Arkan Jasim Hadi and Arkan Jasim Hadi. "GAS-LIQUID EQUILIBRIUM PREDICTION OF CO2-ETHANOL SYSTEM AT MODERATE PRESSURES AND DIFFERENT TEMPERATURES." Diyala Journal of Engineering Sciences 3, no. 1 (June 1, 2010): 90–105. http://dx.doi.org/10.24237/djes.2010.03107.

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In this work, a thermodynamic model for the prediction of gas-liquid equilibrium at moderate pressures (up to 19 bar) and different temperatures (288-323 K) for the binary system of carbon dioxide (1)-ethanol (2) is established using Soave-Redlich-Kwong equation of state (SRK-EOS), Peng-Robenson equation of state (PR-EOS), and HYSYS program with same equations of state. Three different mixing rules were used to show the effect of the type of mixing rule. A comparison of experimental phase equilibrium data in the literature with the predicted results showed very good representation for some mixing rules and good for the others, also the comparison with the results obtained using simulation on HYSYS program exhibits good agreement up to 11 bar with a deviation of 4*10-4 - 2*10-4 %.

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Twu, Chorng H., John E. Coon, and John R. Cunningham. "A new generalized alpha function for a cubic equation of state Part 2. Redlich-Kwong equation." Fluid Phase Equilibria 105, no. 1 (March 1995): 61–69. http://dx.doi.org/10.1016/0378-3812(94)02602-w.

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Kolafa, Jiří. "Azeotropic phenomena in the global phase diagram of the Redlich–Kwong equation of state." Physical Chemistry Chemical Physics 1, no. 24 (1999): 5665. http://dx.doi.org/10.1039/a906114b.

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Yushan, Zhu, and Xu Zhihong. "Lipschitz optimization for phase stability analysis: application to Soave–Redlich–Kwong equation of state." Fluid Phase Equilibria 162, no. 1-2 (August 1999): 19–29. http://dx.doi.org/10.1016/s0378-3812(99)00173-9.

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Méndez, Pablo, and Milton Medeiros. "Density modelling of ionic liquids using the electrolyte Soave–Redlich–Kwong equation of state." Journal of Chemical Thermodynamics 105 (February 2017): 414–22. http://dx.doi.org/10.1016/j.jct.2016.10.048.

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41

Joshipura, M. H., S. P. Dabke, and N. Subrahmanyam. "Comparing Four Compound-specific Cohesion Factor Relationships for Soave–Redlich–Kwong Equation of State." Indian Chemical Engineer 55, no. 1 (March 2013): 1–28. http://dx.doi.org/10.1080/00194506.2013.785110.

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Camporese, R., G. Bigolaro, and L. Rebellato. "Calculation of thermodynamic properties of refrigerants by the Redlich-Kwong-Soave equation of state." International Journal of Refrigeration 8, no. 3 (May 1985): 147–51. http://dx.doi.org/10.1016/0140-7007(85)90154-9.

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43

Sánchez, Alberto, and Salvador Villalobos. "Geometric model of real gases described by the Redlich-Kwong-Soave equation of state." Journal of Molecular Liquids 372 (February 2023): 121167. http://dx.doi.org/10.1016/j.molliq.2022.121167.

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44

Novák, Josef P., Vlastimil Růžička, Jaroslav Matouš, and Jiří Pick. "Liquid-liquid equilibrium. Computation of liquid-liquid equilibrium in terms of an equation of state." Collection of Czechoslovak Chemical Communications 51, no. 7 (1986): 1382–92. http://dx.doi.org/10.1135/cccc19861382.

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An algorithm for calculating the boiling point pressure at a chosen temperature and composition was used for computing liquid-liquid equilibrium. A lot of attention is paid to the determination of the first approximation which is specified in terms of the conditions of thermodynamic stability. The conditions of thermodynamic stability make as well possible to localize the lower and upper critical end points (LCEP and UCEP. The Redlich-Kwong-Soave equation of state was applied in calculations, and it was found out that this equation with zero interaction parameters predicts well the lower and upper critical end temperatures in the systems methane-n-hexane, ethane-n-eicosane and ethane-n-docosane.

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Sun, Lan Yi, Cheng Zhai, and Hui Zhang. "Applications of the Soave-Redlich-Kwong Equations of State Using Matlab." Advanced Materials Research 225-226 (April 2011): 492–95. http://dx.doi.org/10.4028/www.scientific.net/amr.225-226.492.

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In this paper, using Matlab to solve Soave-Redlich-Kwong (SRK) EOS, as well as the estimation of pure component properties, plotting of vapor-liquid equilibrium (VLE) diagram and calculation of chemical equilibrium, is presented. First the SRK EOS is used to predict several pure-component properties, such as liquid and gas molar volumes for isobutane. The vapor-liquid isobaric diagram is then plotted for a binary mixture composed of n-pentane and n-hexane under the pressures of 1.5*10^5 and 7*10^5 Pa respectively. Finally, the extent of ammonia synthesis reaction under high pressure is calculated.

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Bober, W., and W. L. Chow. "Nonideal Isentropic Gas Flow Through Converging-Diverging Nozzles." Journal of Fluids Engineering 112, no. 4 (December 1, 1990): 455–60. http://dx.doi.org/10.1115/1.2909425.

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A method for treating nonideal gas flows through converging-diverging nozzles is described. The method incorporates the Redlich-Kwong equation of state. The Runge-Kutta method is used to obtain a solution. Numerical results were obtained for methane gas. Typical plots of pressure, temperature, and area ratios as functions of Mach number are given. From the plots, it can be seen that there exists a range of reservoir conditions that require the gas to be treated as nonideal if an accurate solution is to be obtained.

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Grevel, Klaus-D., and Niranjan D. Chatterjee. "A modified Redlich-Kwong equation of state for H2-H2O fluid mixtures at high pressures and at temperatures above 400°C." European Journal of Mineralogy 4, no. 6 (December 15, 1992): 1303–10. http://dx.doi.org/10.1127/ejm/4/6/1303.

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48

Khan, Shadman H., Anupama Kumari, G. Dixit, Chandrajit B. Majumder, and Amit Arora. "Thermodynamic modeling and correlations of CH4, C2H6, CO2, H2S, and N2 hydrates with cage occupancies." Journal of Petroleum Exploration and Production Technology 10, no. 8 (September 14, 2020): 3689–709. http://dx.doi.org/10.1007/s13202-020-00998-y.

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Abstract The present work focuses on developing a framework for accurate prediction of thermodynamic conditions for single-component hydrates, namely CH4, CO2, N2, H2S, and C2H6 (coded in MATLAB). For this purpose, an exhaustive approach is adopted by incorporating eight different equations of states, namely Peng–Robinson, van der Waals, Soave–Redlich–Kwong, Virial, Redlich–Kwong, Tsai-Teja, Patel, and Esmaeilzadeh–Roshanfekr, with the well-known van der Waals–Platteeuw model. Overall, for I–H–V phase region, the Virial and van der Waals equation of state gives the most accurate predictions with minimum AAD%. For Lw–H–V phase region, Peng–Robinson equation of state is found to yield the most accurate predictions with overall AAD of 3.36%. Also, genetic programming algorithm is adopted to develop a generalized correlation. Overall, the correlation yields quick estimation with an average deviation of less than 1%. The accurate estimation yields a minimal AAD of 0.32% for CH4, 1.93% for C2H6, 0.77% for CO2, 0.64% for H2S, and 0.72% for N2. The same correlation can be employed for fitting phase equilibrium data for other hydrates too. The tuning parameter, n, is to be used for fine adjustment to the phase equilibrium data. The findings of this study can help for a better understanding of phase equilibrium and cage occupancy behavior of different gas hydrates. The accuracy in phase equilibria is intimately related to industrial applications such as crude oil transportation, solid separation, and gas storage. To date, no single correlation is available in the literature that can accurately predict phase equilibria for multiple hydrate species. The novelty of the present work lies in both the accuracy and generalizability of the proposed correlation in predicting the phase equilibrium data. The genetic programming generalized correlation is convenient for performing quick equilibrium prediction for industrial applications.

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Vorobieva, Hanna S. "Modification of the Redlich-Kwong-Aungier Equation of State to Determine the Degree of Dryness in the CO2 Two-phase Region." Journal of Mechanical Engineering 24, no. 4 (December 30, 2021): 17–27. http://dx.doi.org/10.15407/pmach2021.04.017.

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The degree of dryness is the most important parameter that determines the state of a real gas and the thermodynamic properties of the working fluid in a two-phase region. This article presents a modified Redlich-Kwong-Aungier equation of state to determine the degree of dryness in the two-phase region of a real gas. Selected as the working fluid under study was CO2. The results were validated using the Span-Wanger equation presented in the mini-REFPROP program, the equation being closest to the experimental data in the CO2 two-phase region. For the proposed method, the initial data are temperature and density, critical properties of the working fluid, its eccentricity coefficient, and molar mass. In the process of its solution, determined are the pressure, which for a two-phase region becomes the pressure of saturated vapor, the volumes of the gas and liquid phases of a two-phase region, the densities of the gas and liquid phases, and the degree of dryness. The saturated vapor pressure was found using the Lee-Kesler and Pitzer method, the results being in good agreement with the experimental data. The volume of the gas phase of a two-phase region is determined by the modified Redlich-Kwong-Aungier equation of state. The paper proposes a correlation equation for the scale correction used in the Redlich-Kwongda-Aungier equation of state for the gas phase of a two-phase region. The volume of the liquid phase was found by the Yamada-Gann method. The volumes of both phases were validated against the basic data, and are in good agreement. The results obtained for the degree of dryness also showed good agreement with the basic values, which ensures the applicability of the proposed method in the entire two-phase region, limited by the temperature range from 220 to 300 K. The results also open up the possibility to develop the method in the triple point region (216.59K-220 K) and in the near-critical region (300 K-304.13 K), as well as to determine, with greater accuracy, the basic CO2 thermodynamic parameters in the two-phase region, such as enthalpy, entropy, viscosity, compressibility coefficient, specific heat capacity and thermal conductivity coefficient for the gas and liquid phases. Due to the simplicity of the form of the equation of state and a small number of empirical coefficients, the obtained technique can be used for practical problems of computational fluid dynamics without spending a lot of computation time.

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Hakala, Reino W. "The value of the critical compressibility factor for the Redlich-Kwong equation of state of gases." Journal of Chemical Education 62, no. 2 (February 1985): 110. http://dx.doi.org/10.1021/ed062p110.

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