NUMERICAL ANALYSIS OF FLASH CALCULATION USING SOAVE REDLICH- KWONG EQUATION OF STATE WITH MATLAB

Bilal Hussaın; Muhammad Ahsan

NUMERICAL ANALYSIS OF FLASH CALCULATION USING SOAVE REDLICH- KWONG EQUATION OF STATE WITH MATLAB

Abstract

Flash calculation is an important process in the industry to study the phase equilibrium. The mathematical modeling of flash calculation is getting significant in industrial problem solving. In this research, Soave Redlich Kwong (SRK) equation is used to calculate the thermodynamic properties of the mixture in the critical region. From the literature, experimental data is selected to study the behavior of four different binary mixtures. Mathematical modeling was performed to study the behavior of pressure with a mole fraction of the liquid phase and vapor phase mixture at equilibrium. An initial guess of K-values is done by using Wilson equation. The equilibrium is established when the convergence is occurring on applied condition of fugacity coefficient. The behavior is compared with the experimental data present in literature which show that this isothermal flash calculation almost follows the same trend like as experimental data.

Keywords

References

[1] Baled, H., Enick, R.M., Wu, Y., Mchugh, M.A., Burgess, W., Tapriyal, D., and Morreale, B.D., (2012) Prediction of hydrocarbon densities at extreme conditions using volume-translated SRK and PR equations of state fit to high temperature, high pressure PVT data. Fluid Phase Equilibria 317, 65-76.
[2] Cismondi, M. and Mollerup, J., (2005) Development and application of a three-parameter RK–PR equation of state. Fluid Phase Equilibria 232, 1, 74-89.
[3] Coelho, J.A.P., Filipe, R.M., Naydenova, G.P., Yankov, D.S., and Stateva, R.P., (2016) Semi-empirical models and a cubic equation of state for correlation of solids solubility in scCO2: Dyes and calix[4]arenes as illustrative examples. Fluid Phase Equilibria 426(10/25/), 37-46. DOI= http://dx.doi.org/http://dx.doi.org/10.1016/j.fluid.2016.01.026.
[4] Frey, K., Modell, M., and Tester, J., (2009) Density-and-temperature-dependent volume translation for the SRK EOS: 1. Pure fluids. Fluid Phase Equilibria 279, 1 (5/15/), 56-63. DOI= http://dx.doi.org/http://dx.doi.org/10.1016/j.fluid.2009.02.005.
[5] Ghosh, P., (1999) Prediction of Vapor‐Liquid Equilibria Using Peng‐Robinson and Soave‐Redlich‐Kwong Equations of State. Chemical engineering & technology 22, 5, 379-399.
[6] Gonçalves, F., Castier, M., and Araújo, O., (2007) Dynamic simulation of flash drums using rigorous physical property calculations. Brazilian Journal of Chemical Engineering 24, 2, 277-286.
[7] Hong, G.-B., Hsieh, C.-T., Lin, H.-M., and Lee, M.-J., (2012) Multiphase Equilibrium Calculations from Soave Equation of State with Chang-Twu/UNIFAC Mixing Rules for Mixtures Containing Water, Alcohols, and Esters. Industrial & Engineering Chemistry Research 51, 13, 5073-5081.
[8] Jaubert, J.-N. and Privat, R., (2010) Relationship between the binary interaction parameters (kij) of the Peng–Robinson and those of the Soave–Redlich–Kwong equations of state: Application to the definition of the PR2SRK model. Fluid Phase Equilibria 295, 1 (8/15/), 26-37. DOI= http://dx.doi.org/http://dx.doi.org/10.1016/j.fluid.2010.03.037.

[9] Lin, H., Duan, Y.-Y., Zhang, T., and Huang, Z.-M., (2006) Volumetric property improvement for the Soave-Redlich-Kwong equation of state. Industrial & Engineering Chemistry Research 45, 5, 1829-1839.
[10] Liu, K., Wu, Y., Mchugh, M.A., Baled, H., Enick, R.M., and Morreale, B.D., (2010) Equation of state modeling of high-pressure, high-temperature hydrocarbon density data. The Journal of Supercritical Fluids 55, 2, 701-711.
[11] Nasri, Z. and Binous, H., (2009) Applications of the Peng-Robinson Equation of State Using MATLAB[R]. Chemical Engineering Education (CEE) 43, 2, 115-124.
[12] Nasrifar, K. and Bolland, O., (2004) Square-well potential and a new α function for the soave-Redlich-Kwong equation of state. Industrial & Engineering Chemistry Research 43, 21, 6901-6909.
[13] Neau, E., Hernández-Garduza, O., Escandell, J., Nicolas, C., and Raspo, I., (2009) The Soave, Twu and Boston–Mathias alpha functions in cubic equations of state: Part I. Theoretical analysis of their variations according to temperature. Fluid Phase Equilibria 276, 2, 87-93.
[14] Shen, A., Liu, Q., Duan, Y., and Yang, Z., (2014) Crossover Equation of State for Selected Hydrocarbons (C4–C7). Chinese Journal of Chemical Engineering 22, 11–12 (11//), 1291-1297. DOI= http://dx.doi.org/http://dx.doi.org/10.1016/j.cjche.2014.09.013.
[15] Soave, G., (1972) Equilibrium constants from a modified Redlich-Kwong equation of state. Chemical Engineering Science 27, 6 (1972/06/01), 1197-1203. DOI= http://dx.doi.org/http://dx.doi.org/10.1016/0009-2509(72)80096-4.
[16] Soave, G., Gamba, S., and Pellegrini, L.A., (2010) SRK equation of state: Predicting binary interaction parameters of hydrocarbons and related compounds. Fluid Phase Equilibria 299, 2, 285-293.
[17] Sugahara, T., Murayama, S., Hashimoto, S., and Ohgaki, K., (2005) Phase equilibria for H 2+ CO 2+ H 2 O system containing gas hydrates. Fluid Phase Equilibria 233, 2, 190-193.
[18] Twu, C.H., Bluck, D., Cunningham, J.R., and Coon, J.E., (1991) A cubic equation of state with a new alpha function and a new mixing rule. Fluid Phase Equilibria 69, 33-50.
[19] Wei, Y.S. and Sadus, R.J., (2000) Equations of state for the calculation of fluid‐phase equilibria. AIChE Journal 46, 1, 169-196.
[20] Wong, D.S.H. and Sandler, S.I., (1992) A theoretically correct mixing rule for cubic equations of state. AIChE Journal 38, 5, 671-680.
[21] Xu, X.-H., Duan, Y.-Y., and Yang, Z., (2012) Crossover volume translation Soave–Redlich–Kwong equation of state for fluids. Industrial & Engineering Chemistry Research 51, 18, 6580-6585.
[22] Yushan, Z. and Zhihong, X., (1999) Lipschitz optimization for phase stability analysis: Application to Soave–Redlich–Kwong equation of state. Fluid Phase Equilibria 162, 1, 19-29.

Details

Primary Language

English

Subjects

Engineering

Journal Section

Research Article

Authors

Bilal Hussaın This is me
0000-0003-1341-087X
Pakistan

Muhammad Ahsan This is me
0000-0003-2512-8759
Pakistan

Publication Date

September 1, 2017

Submission Date

January 10, 2017

Acceptance Date

July 2, 2017

Published in Issue

Year 2017 Volume: 35 Number: 3

IZ

https://izlik.org/JA49LT62SZ

Cite

RIS / Bibtex

APA

Hussaın, B., & Ahsan, M. (2017). NUMERICAL ANALYSIS OF FLASH CALCULATION USING SOAVE REDLICH- KWONG EQUATION OF STATE WITH MATLAB. Sigma Journal of Engineering and Natural Sciences, 35(3), 427-439. https://izlik.org/JA49LT62SZ

AMA

1.Hussaın B, Ahsan M. NUMERICAL ANALYSIS OF FLASH CALCULATION USING SOAVE REDLICH- KWONG EQUATION OF STATE WITH MATLAB. SIGMA. 2017;35(3):427-439. https://izlik.org/JA49LT62SZ

Chicago

Hussaın, Bilal, and Muhammad Ahsan. 2017. “NUMERICAL ANALYSIS OF FLASH CALCULATION USING SOAVE REDLICH- KWONG EQUATION OF STATE WITH MATLAB”. Sigma Journal of Engineering and Natural Sciences 35 (3): 427-39. https://izlik.org/JA49LT62SZ.

EndNote

Hussaın B, Ahsan M (September 1, 2017) NUMERICAL ANALYSIS OF FLASH CALCULATION USING SOAVE REDLICH- KWONG EQUATION OF STATE WITH MATLAB. Sigma Journal of Engineering and Natural Sciences 35 3 427–439.

IEEE

[1]B. Hussaın and M. Ahsan, “NUMERICAL ANALYSIS OF FLASH CALCULATION USING SOAVE REDLICH- KWONG EQUATION OF STATE WITH MATLAB”, SIGMA, vol. 35, no. 3, pp. 427–439, Sept. 2017, [Online]. Available: https://izlik.org/JA49LT62SZ

ISNAD

Hussaın, Bilal - Ahsan, Muhammad. “NUMERICAL ANALYSIS OF FLASH CALCULATION USING SOAVE REDLICH- KWONG EQUATION OF STATE WITH MATLAB”. Sigma Journal of Engineering and Natural Sciences 35/3 (September 1, 2017): 427-439. https://izlik.org/JA49LT62SZ.

JAMA

1.Hussaın B, Ahsan M. NUMERICAL ANALYSIS OF FLASH CALCULATION USING SOAVE REDLICH- KWONG EQUATION OF STATE WITH MATLAB. SIGMA. 2017;35:427–439.

MLA

Hussaın, Bilal, and Muhammad Ahsan. “NUMERICAL ANALYSIS OF FLASH CALCULATION USING SOAVE REDLICH- KWONG EQUATION OF STATE WITH MATLAB”. Sigma Journal of Engineering and Natural Sciences, vol. 35, no. 3, Sept. 2017, pp. 427-39, https://izlik.org/JA49LT62SZ.

Vancouver

1.Bilal Hussaın, Muhammad Ahsan. NUMERICAL ANALYSIS OF FLASH CALCULATION USING SOAVE REDLICH- KWONG EQUATION OF STATE WITH MATLAB. SIGMA [Internet]. 2017 Sep. 1;35(3):427-39. Available from: https://izlik.org/JA49LT62SZ