Experimental study of ethylene molecular diffusion coefficient in NMP

Document Type : Research Article


Department of Chemical Engineering, Mahshahr Branch, Islamic Azad University, Mahshahr, Iran


In this paper, the molecular diffusion coefficient is calculated by obtaining experimental data of gas diffusion in stagnant solvent and using mathematical models based on Fick's second law. The purpose of this paper is to calculate the ethylene diffusion coefficients in n-methyl pyrrolidone (NMP) solvent at initial pressures of 600, 800 and 1100 kPa and temperatures of 278.1, 298.1 and 328.1 K using two available models. Although similar to previous researches, the experimental results from both models showed that the diffusion coefficients increase with increasing temperature, the type of dependence on temperature as DAB = A.Tn has been different from the researchers' point of view. To examine, the experimental results were compared with the predictions of Wilke-Chang model, in which n = 5.65, and Diaz model, in which n =8.5. The dependence of the molecular diffusion coefficient on temperature in the two experimental models is different, and the prediction of the Diaz model had better agreement to the experimental data of this study.


Main Subjects

[2] Sanders D., Freeman B., Energy-Efficient Polymeric Gas Separation Membranes for a Sustainable Future: A Review, Polymer, 54: 4729-4761 (2013).
[3] Buonomenna M.G., Membrane Processes for a Sustainable Industrial Growth, RSC Advances, 3: 5694-5740 (2013).
[4] 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).
[5] 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).
[6] Azizi S., Tahmasebi Dezfuli H., Kargari A., Peyghambarzadeh S.M., Experimental Measurement and Thermodynamic Modeling of Propylene and Propane Solubility in N-Methyl Pyrrolidone (NMP), Fluid Phase Equilibria, 387:  190-197 (2015).
[7] Zhang Y., Hyndman C., Maini B., Measurement of Gas Diffusivity in Heavy Oils, J. Pet. Sci. Eng, 25:  37-47 (2000).
[9] Rasmussen M., Givan F., Parameters of Gas Dissolution in Liquids Obtained by Isothermal Pressure Decay, AIChE J, 55(1):  9-23 (2009).
[10] Upreti S., Mehrotra A., “Diffusivity of CO2, CH4, C2H6 and N2 in Athabasca Bitumen, Can. J. Chem. Eng, 80(1):  116-125 (2002).
[11] Sheikha H., Pooladi-Darvish M., Mehrotra A., “Development of Graphical Methods for Estimating the Diffusivity Coefficient of Gases in Bitumen from Pressure-Decay Data, Energy & Fuels, 19(5): 2041–2049 (2005).
[12] Creux P., Meyer V., Graciaa A., Cordelier P., Franco F., Montel F., “Diffusivity in Heavy Oils. SPE International Thermal Operations and Heavy Oil Symposium, Calgary, AB, CANADA, SPE/PS-CIM/CHOA  97798 (2005).
[15] 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).
[16] 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).
[17] Etminan S.R., Pooladi-Darvish M., Maini B.B., Chen Z., Modeling the Interface Resistance in Low Soluble Gaseous Solvent-Heavy Oil System, Fuel, 105: 672-687 (2013).
[18] Kavousi A., Torabi F., Chan C.W., 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).
[19] Gholami Y., Azin R., Fatehi R., Suggesting a Numerical Pressure-Decay Method for Determining CO2 Diffusion Coefficient in Water, Journal of Molecular Liquids, 211: 31-39 (2015).
[20] Gholami F., Azizi S., Peyghambarzadeh S.M., Bohloul M.R., “The Modelling and Experimental Study on Molecular Diffusion Coefficient of CO2 in N-Methyl Pyrolidone, J. Sep. Sci. Tech, 15: 2435-2442 (2017).
[21] 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).
[22] Crank J., “The Mathematics of Diffusion”, 2nd ed., Oxford, (1975).
[23] Azin R., Mahmoudy, M., Jafari Raad S.M., Osfouri S., Measurement and modeling of CO2 Diffusion Coefficient in Saline Aquifer at Reservoir Conditions, Central European Journal of Engineering, 3(4): 585–594 (2013).
[25] Afanasenko L.D., Yarym Agaev N.L., Korotkova E.V., Viscosimetric Properties of the System Diethylene Glycol - n-Methylpyrrolidone –Water, Zh. Prikl. Khim, 58: 2291-2296 (1985).
[26] Langan J.R., Salmon G.A., “Physical Properties of N-Methylpyrrolidinone as Functions of Temperature, J. Chem. Eng. Data, 32: 420-422 (1987).
[27] Vodolazhskii S.V., Yakushkin M.I., Golobacheva O.I., Gaile A.A., Production and Application of p-Dioxan-2-one, 3-Morpholinone, n-Methyl-3-Morpholinone, Khim. Prom, 434-435 (1994).
[28] Ambrosone L., D'Errico G., Sartorio R., Vitagliano V., Analysis of Velocity Cross-correlation and Preferential Solvation for the System N-Methylpyrrolidone-Water at 20 °C, J. Chem. Soc. Faraday Trans, 91: 1339-1344 (1995).
[29] Renner T.A., Measurement and Correlation of Diffusion Coefficients for CO and Rich-Gas Applications, SPE Reservoir 2 Engineering, 517–523 (1988).
[30] Diaz M., Vega A., Coca J., Correlation for the Estimation of Gas-Liquid Diffusivity, Chemical Engineering Communications, 52: 271-281 (1987).
[31] Yousefi M., Azizi S., Peyghambarzadeh S.M., Azizi Z., Ethylene Solubility in N-methylpyrrolidone (NMP): Experimental Study and Thermodynamic Modeling, Applied Petrochemical Research, 10(2): 95-105 (2020).
[32] Saltzman E.S., King D.B., Holmen K., Leck C., Experimental Determination of the Diffusion coefficient of Dimethylsulfide in Water, Journal of Geophysical Research, 98(C9): 16, 481-16,486 (1993).
[36] Young M.E., Carroad  P.A., Bell R.L., Estimation of Diffusion Coefficients of Proteins, Biotechnology and Bioengineering,  xxӀӀ: 947-955( 1980).
[37] Akgerman A.,  Gainer J.L., Diffusion of Gases in Liquids, Ind. Eng. Chem. Fund, 11(3): 373-379 (1972).