Comparative Study between Cubic and non-Cubic Equations of State Using Carnahan-Starling Repulsive Term: Application of Temperature-Dependent Alpha and Beta Functions

Yıl 2014, Cilt: 17 Sayı: 1, 21 - 26, 01.02.2014

Ricardo Checoni Martin Aznar

https://doi.org/10.5541/ijot.77015

Cited By: 3

Öz

Studies on phase equilibria data behavior of pure substances are motivation to the researchers due to importance of these data for the scientific and industrial applications. Several EOS were proposed and its modifications have been made, whose aim is to improve the correlation between experimental and calculated thermophysical properties. This work proposes a comparative study between the PVT calculated data using cubic and non-cubic equations of state, in which its original repulsive term is substituted by the Carnahan-Starling hard-sphere repulsive term; furthermore, generalized expression to calculate (Tr,) and (Tr,) functions are used. Experimental data of vapor pressure for various pure compounds were compared to the calculated vapor pressure data showing satisfactory agreement, when this proposed modification is employed.

Anahtar Kelimeler

Equation of state; generalized alpha and beta functions; modeling; pure compounds

Kaynakça

• M. M. Abbot, Thirteen Ways of Looking at the van der Waals Equation. Chem. Eng. Progress, 2, 25-37, 1989.
• G. Soave, Equilibrium constants from a modified Redlich-Kwong equation of state. Chem. Eng. Sci., 27, 1197-1203, 1972.
• D-Y. Peng, D. B. Robinson, A New Two-Constant Equation of State. Ind. Eng. Chem. Fundam., 15, 59-64, 19 Y. S. Wei, R. J. Sadus, Equations of State for the Calculation of Fluid Phase Equilibria. AIChE J, 46, 169196, 2000.
• K. Nasrifar, M. Moshfeghian, A new cubic equation of state for simple fluids: pure and mixture. Fluid Phase Equilibria, 190, 73-88 (2001).
• C. H. Twu, J. E. Coon, J. R. Cunninghan, A new generalized alpha function for a cubic equation of state Part Peng-Robinson equation. Fluid Phase Equilibria, 105, 49-59, 1995.
• M-R. Riazi, G. A. Mansoori, Simple equation of state accurately predicts hydrocarbon densities. Oil and Gas Journal, 12, 108-111, 1993.
• S. Hajipour, M. Edalat, A new hard sphere cubic equation of state for predicting fluids’ properties and vapor-liquid phase equilibrium calculations. Journal of Phase Equilibria and Difusion, 29, 322-332, 2008.
• R. F. Checoni, S. P. Ravagnani, (2013). Studies about Equation of State for Pure Associated Fluids: Temperature Dependent Co-Volume Accounting a Physically Consistent Repulsive Term, Int. J. Thermo., 16, 20-27, 2013.
• H. Toghiani, D. S. Viswanath, A Cubic Equation of State for Polar and Apolar Fluids. Ind. Eng. Chem.. Process Des. Dev., 25, 531-536, 1986.
• Z. Xu, S. I. Sandler, Temperature dependent parameters and Peng-Robinson equation of state. Ind. Eng. Chem. Res., 26, 601-606, 1987.
• P. M. Mathias, T. W. Copeman, Extension of the Peng-Robinson Equations of State to Complex Mixtures: Evaluation of the Various Forms of the Local Composition Concept. Fluid Phase Equilibria, 13, 91108 (1983).
• M. A. Trebble, P. R. Bishnoi, Development of a new four-parameter cubic equation of state. Fluid Phase Equilibria, 35, 1-18, 1987.
• C. Coquelet, A. Chapoy, D. Richon, Development of a New Alpha Function for the Peng-Robinson Equation of State: Comparative Study of Alpha Function Models for Pure Gases (Natural Gas Components) and Water-Gas Systems. Int. J. Thermophysics, 25, 133-158, 2004.
• N. F. Carnahan, K. E. Starling. Intermolecular Repulsions and the Equation of State for Fluids. AIChE J, 18, 1184-1188, 1972.
• R. De Santis, F. Gironi, L. Marrelli, Vapor-Liquid Equilibrium from a Hard-Sphere Equation of State. Ind. Eng. Chem. Res. 15, 183-189, 1976.
• R. J. Sadus, Equations of state for fluids: The Dieterici approach revisited. J. Chem. Phys., 115, 1460-1462, 200
• R. J. Sadus, New Dieterici-type equations of state for fluid phase equilibria. Fluid Phase Equilibria, 212, 3139, 2003.
• R.H. Perry, D. W. Green, Perry’s Chemical Engineers’ Handbook, 7 th Edition, McGraw Hill, USA, 1997.