A novel EOS that combines van der waals and dieterici potentials

AIChE Journal

Volumn 51, Issue 7, 2005, Pages 2077-2088

  Polishuk, Ilya ^a,b   Vera, Juan H ^a  

^a MCGILL UNIVERSITY   (Canada)

^b ARIEL UNIVERSITY   (Israel)

Author keywords

Hydrocarbon processing; Mathematical modeling; Phase equilibrium; Supercritical processes; Thermodynamics classical

Indexed keywords

HYDROCARBONS; MATHEMATICAL MODELS; MIXTURES; PARAMETER ESTIMATION; PROBLEM SOLVING; VAPORS;

HYDROCARBON PROCESSING; MATHEMATICAL MODELING; SUPERCRITICAL PROCESSES;

DIELECTRIC MATERIALS;

MATHEMATICAL ANALYSIS;

EID: 23844496862     PISSN: 00011541     EISSN: None     Source Type: Journal    
DOI: 10.1002/aic.10441     Document Type: Conference Paper

References (68)

1. Ahlers, J., and J. Gmehling, "Development of a Universal Group Contribution Equation of State. I. Prediction of Liquid Densities for Pure Compounds with a Volume Translated Peng-Robinson Equation of State," Fluid Phase Equilib., 191, 177 (2001).
2. Ahlers, J., and J. Gmehling, "Development of a Universal Group Contribution Equation of State. II. Prediction of Vapor-Liquid Equilibria for Asymmetric Systems," Ind. Eng. Chem. Res., 41, 3489 (2002a).
3. Ahlers, J., and J. Gmehling, "Development of a Universal Group Contribution Equation of State. III. Prediction of Vapor-Liquid Equilibria, Excess Enthalpies, and Activity Coefficients at Infinite Dilution with the VTPR Model," Ind. Eng. Chem. Res., 41, 5890 (2002b).
4. Akers, W. W., L. L. Attwell, and J. A. Robinson, "Volumetric and Phase Behavior of Nitrogen-Hydrocarbon Systems. Nitrogen-Butane System," J. Ind. Eng. Chem., 46, 2539 (1954).
5. Anderko, A., "Cubic and Generalized van der Waals Equations," Equations of State for Fluids and Fluid Mixtures, J. V. Sengers, R. F. Kayser, C. J. Peters, and H. J. White, Jr., eds., Elsevier, Amsterdam, pp. 75-126 (2002).
6. Bloomer, O. T., D. C. Garni, and J. D. Parent, "Physical-Chemical Properties of Methane-Ethane Mixtures," Inst. Gas Technol. Res. Bull., 22, 1 (1953).
7. Brunner, E., W. Hültenschmidt, and G. Schlichthärle, "Fluid Mixtures at High Pressures. IV. Isothermal Phase Equilibria in Binary Mixtures Consisting of (Methanol + Hydrogen or Nitrogen or Methane or Carbon Monoxide or Carbon Dioxide)," J. Chem. Thermodyn., 19, 273 (1987).
8. Bumba, J., and J, Kolafa, "Global Phase Diagrams of van der Waals-Dieterici and the BMCSL-Dieterici Equations of State," Phys. Chem. Chem. Phys., 6, 2301 (2004).
9. Burriss, W. L., N. T. Hsu, H. H. Reamer, and B. H. Sage, "Phase Behavior of the Hydrogen-Propane System," J. Ind. Eng. Chem., 45, 210 (1953).
10. Carnahan, N. F., and K. E. Starling, "Equation, of State for Non-attracting Rigid Spheres," J. Chem. Phys., 51, 635 (1969).
11. Chang, C. J., K. L. Chiu, and C. Y. Day, "A New Apparatus for the Determination of P-x-y diagrams and Henry's Constants in High Pressure Alcohols with Critical Carbon Dioxide," J. Supercrit. Fluids, 12, 223 (1998).
12. Chang, H. L., L. J. Hurt, and R. Kobayashi, "Vapor-Liquid Equilibria of Light Hydrocarbons at Low Temperatures and High Pressures: The Methane-n-Heptane System," AIChE J., 12, 1212 (1966).
13. Chen, R. J. J., P. S. Chappelear, and R. Kobayashi, "Dew-Point Loci for Methane-n-Pentane Binary System," J. Chem. Eng. Data, 19, 58 (1978).
14. Cheng, H., M. E. Pozo de Férnandez, J. A. Źollweg, and W. B. Streett, "Vapor-Liquid Equilibrium in the System Carbon Dioxide + n-Pentane from 252 to 458 K at Pressures to 10 MPa," J. Chem. Eng. Data, 34, 319 (1989).
15. 2 Binary Mixtures with Methyl-tert-Butyl Ether, Ethyl Acetate, Methyl-Ethyl Ketone, Dioxane and Decane," J. Supercrit. Fluids, 11, 15 (1997).
16. De Leeuw, V. V., T. W. De Loos, H. A. Kooijman, and J. De Swaan Arons, "The Experimental Determination and Modeling of VLB for Binary Subsystems of the Quaternary System Nitrogen + Methane + Butane + Tetradecane up to 1000 bar and 440 K," Fluid Phase Equilib., 73, 285 (1992).
17. Donnelly, H. G., and D. L. Katz, "Phase Equilibria in the Carbon Dioxide-Methane System," J. Ind. Eng. Chem., 46, 511 (1954).
18. Eakin, B. E., R. T. Ellington, and D. C. Garni, "Physical-Chemical Properties of Ethane-Nitrogen Mixtures," Inst. Gas Technol. Res. Bull., 26, 1 (1955).
19. Elliot, D. G., R. J. J. Chen, P. S. Chappelear, and R. Kobayashi, "Vapor-Liquid Equilibrium of Methane-Butane System at Low Temperatures and High Pressures," J. Chem. Eng. Data, 19, 71 (1974).
20. Heintz, A., and W. B. Streett, "Phase Equilibriums in the Hydrogen/ Ethylene System at Temperatures from 114.1 to 247.1 K and Pressures to 600 MPa," Ber. Bunsen-Ges. Phys. Chem., 87, 298 (1983).
21. Horstmann, S. K., K. Fischer, J. Gmehling, and P. Kolar, "Experimental Determination of the Critical Line for (Carbon Dioxide + Ethane) and Calculation of Various Thermodynamic Properties for (Carbon Dioxide + n-Alkane) Using the PSRK Model," J. Chem. Thermodyn., 32, 451 (2000).
22. Hsu, J. J. C., N. Nagarajan, and R. L. Robinson, Jr., "Equilibrium Phase Compositions, Phase Densities, and Interfacial Tensions for Carbon Dioxide + Hydrocarbon Systems. 1. Carbon Dioxide + n-Butane," J. Chem. Eng. Data, 30, 485 (1985).
23. Huron, M. J., and J. Vidal, "New Mixing Rules in Simple Equations of State for Representing Vapour-Liquid Equilibria of Strongly Non-ideal Mixtures," Fluid Phase Equilib., 3, 255 (1979).
24. Lam, D. H., A. Jangkamolkulchai, and K. D. Luks, "Liquid-Liquid- Vapor Phase Equilibrium Behavior of Certain Binary Carbon Dioxide + n-Alkanol Mixtures," Fluid Phase Equilib., 60, 131 (1990).
25. Leu, A. D., and D. B. Robinson, "Equilibrium Phase Properties of the n-Butane-Carbon Dioxide and Isobutene-Carbon Dioxide Binary Systems," J. Chem. Eng. Data, 32, 444 (1987).
26. Lin, Y. N., R. J. J. Chen, P. S. Chappelear, and R. Kobayashi, "Vapor-Liquid Equilibrium of Methane-n-Hexane System at Low Temperature," J. Chem. Eng. Data, 22, 402 (1977).
27. Nichols, W. B., H. H. Reamer, and B. H. Sage, "Volumetric and Phase Behavior in the Hydrogen-Hexane System," AIChE J., 3, 262 (1957).
28. Peng, D. Y., and D. B. Robinson, "A New Two-Constant Equation of State," Ind. Eng. Chem. Fundam., 15, 59 (1976).
29. Perry, R. H., D. W. Green, and J. O. Maloney, Perry's Chemical Engineers' Handbook, 7th Edition, McGraw-Hill, New York (1999).
30. Peter, S., and H. F. Eicke, "Phase Equilibrium in the Systems Nitrogen-n-Heptane, Nitrogen-2,2,4-trimethylpentane, and Nitrogen- Methylcyclohexane at Higher Pressures and Temperatures," Der. Bunsen-Ges. Phys. Chem., 74, 190 (1970).
31. 2-2,2,4-Trimethylpentane at Elevated Pressures and Temperatures," Z. Phys. Chem., 24, 103 (1960).
32. Polishuk, I., R. Gonzalez, J. H. Vera, and H. Segura, "Phase Behavior of Dieterici Fluids," Phys. Chem. Chem. Phys., 6, 5189 (2005).
33. Polishuk, I., R. P. Stateva, J. Wisniak, and H. Segura, "Prediction of High-Pressure Phase Equilibria Using Cubic EOS: What Can Be Learned?," Can. J. Chem. Eng., 80, 927 (2002).
34. Polishuk, I., J. Wisniak, and H. Segura, "Prediction of the Critical Locus in Binary Mixtures Using Equation of State. I. Cubic Equations of State, Classical Mixing Rules, Mixtures of Methane-Alkanes," Fluid Phase Equilib., 164, 13 (1999).
35. Polishuk, I., J. Wisniak, and H. Segura, "Simultaneous Prediction of the Critical and Sub-critical Phase Behavior in Mixtures Using Equations of State. I. Carbon Dioxide-Alkanols. Chem. Eng. Sci., 56, 6485 (2001).
36. Polishuk, I., J. Wisniak, and H. Segura, "Simultaneous Prediction of the Critical and Sub-critical Phase Behavior in Mixtures Using Equations of State. II. Carbon Dioxide-Heavy n-Alkanes," Chem. Eng. Sci., 58, 2529 (2003).
37. Polishuk, I., J. Wisniak, H. Segura, L. V. Yelash, and T. Kraska, "Prediction of the Critical Locus in Binary Mixtures Using Equation of State. II. Investigation of van der Waals-Type and Carnahan-Starling-Type Equations of State," Fluid Phase Equilib., 172, 1 (2000).
38. Poston, R. S., and J. J. McKetta, "Vapor-Liquid Equilibrium in the Methane-n-Hexane System," J. Chem. Eng. Data, 11, 362 (1966a).
39. Poston, R. S., and J. J. McKetta, "Vapor-Liquid Equilibrium in the n-Hexane-Nitrogen System," J. Chem. Eng. Data, 11, 364 (1966b).
40. Price, A. R., and R. Kobayashi, "Low-Temperature Vapor-Liquid Equilibrium in Light Hydrocarbon Mixtures: Methane-Ethane-Propane System," J. Chem. Eng. Data, 4, 40 (1959).
41. Raeissi, S., K. Gauter, and C. J. Peters, "Fluid Multiphase Behavior in Quasi-Binary Mixtures of Carbon Dioxide and Certain 1-Alkanols," Fluid Phase Equilib., 147, 239 (1998).
42. Reamer, H. H., R. H. Olds, B. H. Sage, and W. N. Lacey, "Phase Equilibria in Hydrocarbon Systems. Methane-n-Decane System," J. Ind. Eng. Chem., 34, 1526 (1942).
43. Reamer, H. H., B. H. Sage, and W. N. Lacey, "Volumetric and Phase Behavior of the Methane-n-Heptane System," Chem. Eng. Data Ser., 1, 29 (1956).
44. Redlich, O., and J. N. S. Kwong, "On the Thermodynamics of Solutions: V. An Equation of State: Fugacities of Gaseous Solutions," Chem. Rev., 44, 233 (1949).
45. Rijkers, M. P. W. M., V. B. Maduro, C. J. Peters, and J. De Swaan Arons, "Measurements on the Phase Behavior of Binary Mixtures for Modeling the Condensation Behavior of Natural Gas. Part II. The System Methane + Dodecane," Fluid Phase Equilib., 72, 309 (1992b).
46. Rijkers, M. P. W. M., M. Malais, C. J. Peters, and J. De Swaan Arons, "Measurements on the Phase Behavior of Binary Hydrocarbon Mixtures for Modeling the Condensation Behavior of Natural Gas. Part I. The System Methane-Decane," Fluid Phase Equilib., 71, 143 (1992a).
47. Rijkers, M. P. W. M., C. J. Peters, and J. De Swaan Arons, "Measurements on the Phase Behavior of Binary Mixtures for Modeling the Condensation Behavior of Natural Gas. Part III. The System Methane + Hexadecane," Fluid Phase Equilib., 85, 335 (1993).
48. Roberts, L. R., R. H. Wang, A. Azarnoosh, and J. J. McKetta, "Methane- Butane System in the Two-Phase Region," J. Chem. Eng. Data, 7, 484 (1962).
49. Roof, J. G., and J. D. Baron, "Critical Loci of Binary Mixtures of Propane with Methane, Carbon Dioxide, and Nitrogen," J. Chem. Eng. Data, 12, 292 (1967).
50. Sadus, R. J., "Equation of State for Fluids: The Dieterici Approach Revisited," J. Chem. Phys., 115, 1460 (2001). [Erratum. 115, 5913 (2002a)].
51. Sadus, R. J., "The Dieterici Alternative to the van der Waals Approach for Equations of State: Second Virial Coefficient," Phys. Chem. Chem. Phys., 4, 919 (2002b).
52. Sadus, R. J., "New Dieterici-Type Equation of State for Fluid Phase Equilibria," Fluid Phase Equilib., 212, 31 (2003).
53. Sage, B. H., H. H. Reamer, R. H. Olds, and W. N. Lacey, "Phase Equilibria in Hydrocarbon Systems. Volumetric and Phase Behavior of Methane-Pentane System," Ind. Eng. Chem., 34, 1108 (1942).
54. Scheidgen, A., Fluid Phase Equilibria in Binary and Ternary Mixtures of Carbon Dioxide with Low-Volatile Organic Substances up to 100 M Pa (in German), Ph.D. Dissertation, Ruhr-Universität Bochum, Bochum, Germany (1997).
55. Schindler, D. L., G. W. Swift, and F. Kurata, "More Low-Temperature Vapor-Liquid Design Data," Hydrocarb. Process. Petrol. Refiner., 45, 205 (1966).
56. Shipman, L. M., and J. P. Kohn, "Heterogeneous Phase and Volumetric Equilibrium in the Methane-n-Nonane System," J. Chem. Eng. Data, 11, 176 (1966).
57. 2 + 2-Butanol Systems at Temperatures from 324 to 432 K," Fluid Phase Equilib., 182, 145 (2001).
58. Silva-Oliver, G., L. A. Galicia-Luna, and S. I. Sandier, "Vapor-Liquid Equilibria and Critical Points for the Carbon Dioxide + 1-Pentanol and Carbon Dioxide + 2-Pentanol Systems at Temperatures from 332 to 432 K," Fluid Phase Equilib., 200, 161 (2002).
59. Stevens, R. M. M., J. C. van Roermund, M. D. Jager, Th. W. de Loos, and J. de Swaan Arons, "High-Pressure Vapor-Liquid Equilibria in the Systems Carbon Dioxide + 2-Butanol, + 2-Butyl Acetate, + Vinyl Acetate and Calculations with Three EOS Methods," Fluid Phase Equilib., 138, 159 (1997).
60. Tsang, C. Y., P. Clancy, J. C. G. Calado, and W. B. Streett, "Phase Equilibriums in the Hydrogen/Methane System at Temperatures from 92.3 to 180.0 K and Pressures to 140 MPa," Chem. Eng. Commun., 6, 365 (1980).
61. Twu, C. H., J. E. Coon, and J. R. Cunningham, "A New Generalized Alpha Function for a Cubic Equation of State. Part 2. Redlich-Kwong Equation," Fluid Phase Equilib., 105, 61 (1995).
62. Twu, C. H., J. E. Coon, A. H. Harvey, and J. R. Cunningham, "An Approach for the Application of a Cubic Equation of State to Hydrogen-Hydrocarbon Systems," Ind. Eng. Chem. Res., 35, 905 (1996).
63. Valderrama, J. O., "The State of the Cubic Equations of State," Ind. Eng. Chem. Res., 42, 1603 (2003).
64. 3}," J. Chem. Thermodyn., 27, 847 (1995).
65. Wichterle, I., and R. Kobayashi, "Vapor-Liquid Equilibrium of Methane-Propane System at Low Temperatures and High Pressures," J. Chem. Eng. Data, 17, 4 (1972).
66. Wisniak, J., and H. Avraham, "On the Joule-Thomson Effect Inversion Curve," Thermochim. Acta, 286, 33 (1996).
67. Wisotzki, K. D., and G. M. Schneider, "Fluid Phase Equilibria of the Binary Systems Molecular Nitrogen + Ethane and Molecular Nitrogen + Pentane between 88 K and 313 K and at Pressures up to 200 MPa," Ber. Bunsen-Ges. Phys. Chem., 89, 21 (1985).
68. 2," ACS Symp. Ser., 608, 93 (1995).