Diffusion Coefficient of Ethylene in NMP Using Pressure Decay Method: Experimental and Modelling Study

Document Type : Research Article


Department of Chemical Engineering, Mahshahr Branch, Islamic Azad University, Mahshahr, I.R. IRAN


The pressure decay of ethylene due to diffusion into the stagnant liquid of N-methyl-2-pyrrolidone (NMP) is evaluated at temperatures of 278.15, 298.15, and 328.15 K, and at three initial pressures of about 0.6, 0.8, and 1.1 MPa. Then, an available graphical method named the initial model is implemented to calculate the diffusion coefficient. Some corrections on the initial model are applied as follows: 1) in the infinite series of the solution to Fick’s second law, more terms are considered. 2) the equilibrium pressure is considered a tuning parameter to eliminate the requirement for an inaccurate experimental measurement. The proposed model is proven to be more reliable and valid for a whole range of pressure decay data including the early times. Due to the large differences between the results of the initial and the proposed models, the Wilke-Chang relation is considered a basis for comparison. This comparative study shows that the results of the Wilke-Chang relation are more compatible with the proposed model


Main Subjects

[2] Martins V.F.D., Ribeiro A.M., Kortunov P., Ferreira A., Rodrigues A.E., High Purity Ethane/Ethylene Separation by Gas Phase Simulated Moving Bed Using ZIF‐8 Adsorbent, AIChE J., 65(8): e16619 (2019).
[4] Saha D., Toof B., Krishna R., Orkoulas G., Gismondi P., Thorpe R., Comroe M.L., Separation of Ethane-Ethylene and Propane-Propylene by Ag(I) Doped and Sulfurized Microporous Carbon, Microporous and Mesoporous Material, 299: 110099 (2020).
[5] Malakhov AO., Bazhenov SD., Vasilevsky VP., Borisov IL., Ovcharov AA., Bildyukevich AV., Volkov VV., Giorno L., Volkov AV., Thin-film Composite Hollow Fiber Membranes for Ethylene/Ethane Separation in Gas-Liquid Membrane Contactor, Sep. Pur . Tech, 219: 64-73 (2019).
[6] Reine TA., Eldridge BR., Absorption Equilibriumand Kinetics for Ethylene-Ethane Separation with a Novel Solvent, Ind. Eng. Chem. Res, 44: 7505-7510 (2005).
[7] Moura L., Darwich W., Santini CC., Costa Gomes M.F., Imidazolium-Based Ionic Liquids with Cyano Groups for the Selective Absorption of Ethane and Ethylene, Chem. Eng. J., 280: 755–762 (2015).
[10] Bunomenna MG., Membrane Processes for a Sustainable Industrial Growth, RSC Advances, 3: 5694-5740 (2013).
[11] Jamialahmadi M., Muller-Steinhagen H., Diffusion Coefficient of Methane in Liquid Hydrocarbons at High Pressure and Temperature, J. Pet. Sci. Eng., 53: 47-60 (2006).
[12] Etminan R., Maini B., Chen Z., Hassanzadeh H., Constant-Pressure Technique for Gas Diffusivity and Solubility Measurements in Heavy Oil and Bitumen, Energy & Fuels, 24: 533-549 (2010).
[13] Azizi S., Tahmasebi Dezfuli H., Kargari A., Peyghambarzadeh SM., Experimental Measurement and Thermodynamic Modeling of Propylene and Propane Solubility in N-Methylpyrrolidone(NMP), Fluid Phase Equilibria, 387:190-197 (2015).
[14] Zhang YP., Hyndman CL., Maini BB., Measurement of Gas Diffusivity in Heavy Oils, J. Pet. Sci. Eng., 25: 37-47 (2000).
[15] Civan F., Rasmussen M.L., Accurate Measurement of Gas Diffusivity in Oil and Brine under Reservoir Conditions, Paper SPE: 67319 (2001).
[16] Civan F., Rasmussen M.L., Parameters of Gas Dissolution in Liquids Obtained by Isothermal Pressure Decay, AIChE J., 55(1): 9-23 (2009).
[17] Upreti SR., Mehrotra AK., Diffusivity of CO2, CH4, C2H6 and N2 in Athabasca bitumen , Can. J. Chem. Eng., 80(1): 116-125 (2002).
[18] Sheikha H., Pooladi-Darvish M., Mehrotra AK., Development of Graphical Methods for Estimating the Diffusivity Coefficient of Gases in Bitumen from Pressure-Decay Data, Energy & Fuels, 19(5): 2041–2049 (2005).
[19] Creux P., Meyer V., Graciaa A., Cordelier PR., Franco F., Montel F.,  Diffusivity in Heavy Oils. “SPE International Thermal Operations and Heavy Oil Symposium, Calgary”. AB. SPE Paper, Vol. 97798 (2005).
[22] Azizi S., Kargari A., Kaghazchi T., Experimental and Theoretical Investigation of Molecular Diffusion Coefficient of Propylene in NMP, Chem. Eng. Res. Des, 92: 1201-1209 (2014).
[23] Zhang W., Wu S., Ren S., Zhang L., Li J., The Modelling and Experimental Studies on the Diffusion Coefficient of CO2 in Saline Water, Journal of CO2 Utilization, 11: 49-53 (2015).
[24] Etminan SR., Pooladi-Darvish M., Maini BB., Chen Z., Modeling the Interface Resistance in Low Soluble Gaseous Solvent-Heavy Oil System, Fuel, 105: 672-687 (2013).
[25] Kavousi A., Torabi F., Chan CW., Shirif E., Experimental Measurement and Parametric Study of CO2 Solubility and Molecular Diffusivity in Heavy Crude Oil Systems, Fluid Phase Equilibria, 371:
57–66 (2014).
[26] Gholami Y., Azin R., Fatehi R., Suggesting a Numerical Pressure-Decay Method for Determining CO2 Diffusion Coefficient in Water, J. Mole. Liq., 211: 31-39 (2015).
[27] Gholami F., Azizi S., Peyghambarzadeh SM., Bohloul MR., The modelling and Experimental Study on Molecular Diffusion Coefficient of CO2 in N-methyl pyrollidone , J. Sep. Sci. Tech., 15: 2435-2442 (2017).
[28] Yang Z., Bryant S., Dong M., Hassanzadeh H.,  An Analytical Method of Estimating Diffusion Coefficients of Gases in Liquids from Pressure Decay Tests, AIChE J., 65: 434–445 (2019).
[29] Pacheco Roman FJ., Hejazi SH., Graphical Estimation of Interface Mass-Transfer Coefficient (k) Using Pressure-Decay Data, Chem. Eng. Sci., 146: 35–43 (2016).
[30] Xu F., Jimenez M., Dietrich N., Hébrard G., Fast Determination of Gas-Liquid Diffusion Coefficient by an Innovative Double Approach, Chem. Eng. Sci., 170: 68-76 (2017).
[31] Comite A., Costa C., Di Felice R., Pagliai P., Vitiello D., Numerical Simulation of CO2 Diffusion and Reaction into Aqueous Solutions of Different Absorbents, Korean. J. Chem. Eng., 32: 239–247 (2015).
[32] Crank J., “The mathematics of Diffusion”, Second Edition, Oxford (1975).
[33] Wilke CR., Chang P., Correlation of Diffusion Coefficients in Dilute Solutions, AIChE J., 1(2): 264-270 (1955).
[34] Prauznitz JM., Lichtenthaler Rudiger N., Gomes de Azevedo E., “Molecular Thermodynamics of Fluid Phase Equilibria” , Third edition, Prentice Hall PTR: 586-587 (1999).
[35] Yousefi M., Azizi S., Peyghambarzadeh SM., Azizi Z., Experimental Study and Thermodynamic Modelling of Ethylene Absorption in N‑Methyl‑2‑Pyrrolidone (NMP), Appl. Petrochem. Res., 10: 95-105 (2020).
[37] Azin R., Mahmoudy M., Jafari Raad SM., Osfouri S., Measurement and Modeling of CO2 Diffusion Coefficient in Saline Aquifer at Reservoir Conditions, Cent. Eur. J. Eng., 3(4): 585–594 (2013).