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Academic literature on the topic 'Redlich–Kwong equation of state'

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Published: 6 September 2023

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Journal articles on the topic "Redlich–Kwong equation of state"

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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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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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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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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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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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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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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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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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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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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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Book chapters on the topic "Redlich–Kwong equation of state"

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Morris, Randall W., and Edward A. Turek. "Optimal Temperature-Dependent Parameters for the Redlich-Kwong Equation of State." In Equations of State, 389–405. Washington, DC: American Chemical Society, 1986. http://dx.doi.org/10.1021/bk-1986-0300.ch019.

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Sun, Lanyi, Cheng Zhai, and Hui Zhang. "Applications of the Soave-Redlich-Kwong Equations of State Using Mathematic." In Advanced Research on Electronic Commerce, Web Application, and Communication, 330–34. Berlin, Heidelberg: Springer Berlin Heidelberg, 2011. http://dx.doi.org/10.1007/978-3-642-20367-1_53.

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Mohamed Mansour, Eman. "Equation of State." In Inverse Heat Conduction and Heat Exchangers. IntechOpen, 2020. http://dx.doi.org/10.5772/intechopen.89919.

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An equation of state (EOS) is a thermodynamic expression that relates pressure (P), temperature (T), and volume (V). This equation is used to describe the state of reservoir fluids at given conditions. The cubic equations of state (CEOS) such as Van der Waals, Redlich-Kwong, Soave, and Peng-Robinson are simple models that have been widely used in the oil industry. This chapter expressed literature for EOS that varies from simple expressions to multiple constant and convoluted types of equations. Many attempts have been made to describe the thermodynamic behavior of fluids to predict their physical properties at given conditions. So, several forms of the equation of state have been presented to the oil industry in order to calculate reservoir fluid properties. The heat exchanger is important in wildly fields as in aerospace, petrochemical industry, refrigeration, and other fields. The optimization design of the heat exchanger is a great significance to industry process to reduce production cost, realize energy conservation, and reduce energy consumption.
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Conference papers on the topic "Redlich–Kwong equation of state"

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Wemhoff, Aaron P. "Dependence of the Equation of State in Surface Tension Prediction by the Theory of Capillarity." In ASME 2009 International Mechanical Engineering Congress and Exposition. ASMEDC, 2009. http://dx.doi.org/10.1115/imece2009-10221.

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The theory of capillarity was originally developed by J. D. van der Waals to provide a means of predicting interfacial (surface) tension data using saturation pressure and liquid-vapor density data. This theory was recently extended to the Redlich-Kwong, Soave-Redlich-Kwong, and Peng-Robinson fluid models. The latter two equations of state are more advanced than the Redlich-Kwong model in that they use an acentric factor to predict saturated vapor pressure values more in agreement with experimental data. However, the agreement in the predicted interfacial tension values is worse for the latter two models compared to the Redlich-Kwong model. This study features a sensitivity analysis to show that the predicted interfacial tension values are more sensitive to vapor density than liquid density and vapor pressure, and that increasing the vapor density reduces the corresponding predicted interfacial tension value. Furthermore, all three fluid models tend to overpredict interfacial tension when experimental data are applied in their predictive equations. This study finds that the reason why the simpler Redlich-Kwong model predicts better interfacial tension values than the two advanced models is because the former overpredicts vapor density moreso than the two advanced cubic fluid models, and this in turn reduces the prediction of interfacial tension to make its value more comparable to experimental data.
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Saunderson, Deborah, R. Arief Budiman, Mikrajuddin Abdullah, and Khairurrijal. "Efficiency Of Rankine Cycle And Optimum Working Fluid Using Redlich-Kwong Equation Of State." In THE THIRD NANOSCIENCE AND NANOTECHNOLOGY SYMPOSIUM 2010 (NNSB2010). AIP, 2010. http://dx.doi.org/10.1063/1.3515555.

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Mobinipouya, Neda. "Deviation of the Calculated of Density of Refrigerant Fluids in Both Super and Sub Critical Regions." In ASME 2011 9th International Conference on Nanochannels, Microchannels, and Minichannels. ASMEDC, 2011. http://dx.doi.org/10.1115/icnmm2011-58132.

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A numerical procedure has successfully predicted accurate values of thermodynamic properties in seven cubic equations of state (EOS) in predicting thermodynamic properties of nine ozone-safe refrigerants both in super and sub-critical regions. Refrigerants include R22, R32, R123, R124, R125, R134a, R141b, R143, and R152a and equations of state, considered here, are Ihm-Song-Mason (ISM), Peng-Robinson (PR) [2], Redlich-Kwong (RK), Soave-Redlikh-Kwong (SRK), Modified Redlickh-Kwong (MRK), Nasrifar-Moshfeghian (NM), and TCC were shown in this paper. In general, the results are in favor of the preference of TCC and PR EOS over other remaining EOS’s in predicting gas densities of all aforementioned refrigerants in both super and sub critical regions. Typically, PR and SRK are in good agreement with those obtained from recent correlations and speed of sound measurements. Therefore, these two EOS stand over other EOS both in sub and super critical regions. All EOS follow two-parameter principle of corresponding states at T/Tc higher than 8 and lower than 1 except NM EOS. In the temperature range 1<T/Tc<8, PR and SRK still follow above mentioned principle. The same trend has been observed for other refrigerants.
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Lin, Mong-Tung, and Volker Sick. "Mixture Evaporative Characteristics Prediction for LIF Measurements Using PSRK (Predictive Soave-Redlich-Kwong) Equation of State." In SAE Powertrain & Fluid Systems Conference & Exhibition. 400 Commonwealth Drive, Warrendale, PA, United States: SAE International, 2002. http://dx.doi.org/10.4271/2002-01-2750.

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Al-Jawad, Mohammed Saleh, and Omar Falih Hassan. "Comprehensive Model for Flash Calculations of Heavy Oils Using the Soave - Redlich - Kwong Equation of State." In North Africa Technical Conference and Exhibition. Society of Petroleum Engineers, 2012. http://dx.doi.org/10.2118/150083-ms.

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Cravero, Carlo, and Antonio Satta. "A CFD Model for Real Gas Flows." In ASME Turbo Expo 2000: Power for Land, Sea, and Air. American Society of Mechanical Engineers, 2000. http://dx.doi.org/10.1115/2000-gt-0518.

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Numerical solutions of Navier-Stokes equations are nowadays widely used for several industrial applications in different fields (aerodynamic, propulsion, naval, combustion, etc..), but the solution methods still require significant improvements especially in two aspects: turbulence modeling and fluid modeling. The paper describes in some detail a real fluid model based on Redlich-Kwong-Aungier equation of state and its implementation into a Navier-Stokes solver developed by the authors for turbomachinery flows analysis.
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Oumechouk, Hicham T., and Mohand A. Ait-Ali. "A Steady State, Adiabatic Compression and One-Dimensional Generalized Flow Analysis of a Natural Gas Pipeline Using Soave-Redlich-Kwong Equation of State." In ASME 2013 Fluids Engineering Division Summer Meeting. American Society of Mechanical Engineers, 2013. http://dx.doi.org/10.1115/fedsm2013-16460.

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Steady state adiabatic compression and one-dimensional generalized gas flow is analyzed using governing conservation laws and Redlich-Kwong-Soave (R-K-S) equation of state applied to a representative mixture of natural gas. The objective of this work is to obtain the state properties of the natural gas considered as an open thermodynamic system at compressor and gas pipeline exits, then the compressor power and energy auto-consumptions for a few diameters and pipe line lengths configurations. The adiabatic, irreversible compression process is analyzed with formal state property definitions where departures from ideal gas properties are obtained using R-K-S equation of state. The one-dimensional generalized gas flow problem is analyzed with continuity, momentum and energy equations, combined with the equation of state; Reynolds analogy between heat transfer and flow friction is adopted. This problem is thus defined with four non linear coupled differential equations; the variables to be determined are pressure, temperature, specific volume and velocity at the gas pipeline exit. The adopted calculation procedure to obtain the gas properties is iterative. It assumes pressure and temperature initial values, solves the equation of state for the specific volume and the continuity equation for the velocity, then corrects for pressure and temperature with integrated values to be used with the next iteration from a solution of the differential equations of motion and energy. This procedure is applied to a few gas pipeline configurations of pipe diameters sections and number of boosting compressor stations for a gas pipeline capacity of 13.5 billions standard cubic meters per year to be delivered to a natural gas liquefaction plant located at a sea port at a distance of some 350 miles.
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Banuti, Daniel T. "Supercritical Pseudo Boiling in Cubic Equations of State." In ASME Turbo Expo 2021: Turbomachinery Technical Conference and Exposition. American Society of Mechanical Engineers, 2021. http://dx.doi.org/10.1115/gt2021-58788.

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Abstract Today, modern combustion systems and advanced cycles often reach operating pressures exceeding the working fluid’s or fuel’s critical pressure. While the liquid-gas coexistence line is the dominant feature in the fluid state space at low pressures, a supercritical analog to boiling, pseudo boiling, exists at supercritical pressures. Pseudo boiling is the transcritical state transition between supercritical liquid states and supercritical gaseous states, associated with peaks in heat capacity and thermal expansion. This transition occurs across a finite temperature interval. So far, the relation between the pseudo boiling line of tabulated hi-fi p-v-T data and the behavior of efficient engineering cubic equations of state (EOS) is unclear. In the present paper, we calculate the slope of the pseudo boiling line analytically from cubic equations of state. The Redlich-Kwong EOS leads to a constant value for all species, Peng-Robinson and Soave-Redlich-Kwong EOS yield a cubic dependency of the slope on the acentric factor. For more than twenty compounds with acentric factors ranging from −0.38 to 0.57 calculated slopes are compared with NIST data and vapor pressure correlations. Particularly the Peng-Robinson EOS matches reference data very well. Classical empirical values of Guggenheim or Plank & Riedel are obtained analytically. Then, pseudo boiling predictions of the Peng Robinson EOS are compared to NIST data. Deviations in transition temperature interval, and nondimensional parameters of the distributed latent heat are compared. Especially the different caloric behavior of tabulated fluid data for H2, N2, CO2, and H2O cannot be reproduced by the Peng Robinson EOS. These results may open the way towards new EOS with specific emphasis on Widom line and supercritical transition behavior.
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Papes, Iva, Lazhar Abdelli, Joris Degroote, and Jan Vierendeels. "3D CFD Analysis of a Twin Screw Expander With Different Real Gas Models for R245fa." In ASME 2015 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2015. http://dx.doi.org/10.1115/imece2015-53388.

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With the increasing importance of minimizing primary energy usage and complying with emission restrictions, a significant interest has been developed towards waste heat recovery from industrial processes. A large portion of this energy is available at low temperatures (350K–400K) but it can be relatively efficiently converted into mechanical power using an Organic Rankine Cycle (ORC). Twin screw expanders can be used as an alternative to turbines with their cheap production costs and well proven efficiencies. In this paper, 3D CFD simulations of a twin screw expander using R245fa as the working fluid are performed. Since the fluid properties show big deviations when using the ideal gas equation of state (EoS), the flow problem has been evaluated using different real gas models. Thermodynamic parameters for the ideal gas EoS, the cubic Aungier Redlich-Kwong EoS and the CoolProp fluid database (open source) were compared in a preliminary study. After that, the models have been included through user-defined functions (UDFs) in ANSYS Fluent and were tested on 3D CFD calculations of a twin screw expander and a simplified expansion model. Several performance indicators such as mass flow rates, pressure-volume diagrams and power output are used to compare different fluid models for R245fa. From the results of this study, it can be concluded that the ideal gas EoS shows big deviations going closer to the saturation vapor line and the deviation in power comparing to the Aungier Redlich-Kwong EoS is around 8%. Conversely, the Aungier Redlich-Kwong EoS and the CoolProp database present very similar results for this case.
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Kumar, Sumit K., Rainer Kurz, and John P. O’Connell. "Equations of State for Gas Compressor Design and Testing." In ASME 1999 International Gas Turbine and Aeroengine Congress and Exhibition. American Society of Mechanical Engineers, 1999. http://dx.doi.org/10.1115/99-gt-012.

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In the design and testing of gas compressors, the correct determination of the thermodynamic properties of the gas. such as enthalpy, entropy and density from pressure, temperature and composition, plays an important role. Due to the wide range of conditions encountered, pressure, specific volume and temperature (p-v-T) equations of state (EOS) and ideal gas heat capacities, along with measured data, are used to determine the isentropic efficiency of a compressor configuration and to model the actual behavior of real gases and compressors. There are many possible model choices. The final selection should depend on the applicability of the EOS to the gas and the temperature dependence of the heat capacities, as well as the particular process of interest along with the range of pressures and temperatures encountered. This paper compares the thermodynamic properties from five commonly used equations in the gas compressor industry: the Redlich-Kwong (RK), Redlich-Kwong-Soave (RKS), Peog-Robinson (PR), Benedict-Webb-Rubin-Starling (BWRS), and Lee-Kesler-Plocker (LKP) models. It also compares them with a high accuracy EOS for methane from Wagner and Setzmann in the common range for gas compressors. The validity of a linear temperature dependence for ideal gas heat capacities is also evaluated. The objective was to determine if the models give significant differences in their predicted efficiencies. It was found that different EOS gave somewhat different enthalpy changes for methane, ethane and nitrogen for real compressions. This appeared to be connected to the different densities given by the models. Interestingly, the isentropic enthalpy changes are quite similar, suggesting that the effect is canceled out when two properties are involved. However, since the efficiency is the ratio of isentropic enthalpy change to actual enthalpy change, the EOS yield different efficiencies. These differences are on the same order as the typical tolerances allowed for prediction and testing of industrial gas compressors (3 to 5%) and comparisons with the highly accurate equation of state for pure methane from Wagner and Setzmann (1991) showed similar differences. Commonly, the ideal gas heat capacity is assumed linear in temperature from 10 to 150°C (50 to 300°F). Comparison of this form with a quadratic expression from the literature and the highly accurate equation of Wagner and Setzmann for methane, showed insignificant differences among the methods for temperatures up to 600°K (1080°R).
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Reports on the topic "Redlich–Kwong equation of state"

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PR-015-05600-R02 Development of Accurate Methods for Predicting Hydrocarbon Dew Points. Chantilly, Virginia: Pipeline Research Council International, Inc. (PRCI), January 2008. http://dx.doi.org/10.55274/r0011170.

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Many different calculational methods are available for computing hydrocarbon dew points of natural gas streams from gas chromatograph analyses. These various methods often produce results that are inconsistent from one method to another, and for some gas streams, have been found to significantly underpredict hydrocarbon dew point temperatures. Several approaches have been evaluated for predicting hydrocarbon dew points of natural gas streams using compositional data available from field gas chromatographs, particularly GC data reported as a lumped C6+ fraction. The primary objectives were to evaluate the accuracy of several C6+ characterization methods used with generic equations of state to predict dew points for a wide range of production, transmission, and distribution gases, and to identify the characterization methods that produce the most accurate predictions for this range of gas compositions. Characterizations were tested using the GERG-2004 equation of state, and the Peng-Robinson and Soave-Redlich-Kwong (SRK) cubic equations of state.
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