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Critical Study of a Residual Viscosity Correlation of JOSSI: Mixture Hydrocarbons Case

Mohammed Jaouad Malzi(1), Aziz Ettahir(2*), Christian Boned(3), Kamal Kettani(4), Abdelmajid Bybi(5)

(1) University Mohammed V in Rabat, Morocco
(2) University Mohammed V in Rabat, Morocco
(3) University of Pau, Laboratory of Complex Fluids and Their reservoirs (LFCR), France
(4) University Mohammed V in Rabat, Morocco
(5) University Mohammed V in Rabat, Morocco
(*) Corresponding author



In Jossi et al. (1962), there is the common model of the viscosimetric behavior where the residual viscosity is represented by a polynomial function of 4th degree involving the reduced density. This study shows that JOSSI’s method depends on three main factors including the adjustment quality of the coefficients, the characterization of the pseudo-critical coordinates via the rules of mixing and the density determination by the equations-of-state. Accordingly, it is important to determine the suitable correlation coupling among viscosity, equation-of-state and mixing rules. Thus, the results obtained from the initial set of JOSSI coefficients have been compared with the new values, for five density determinations’ possibilities and for ten mixing rules, in order to estimate the pseudo-critical coordinates and the characteristics of the mixtures. The results of this paper reveal that the new set of coefficients gives a more precise representation on the hydrocarbon mixtures than the method of JOSSI. The results also show that the equation-of-state established by Peng D.X., Robinson D.B is not suitable to generate the density values. The use of equation-of-state induces more correct prediction of viscosity than the density’s experimental values. Moreover, only 4/10 of mixing rules seem to lead to the most appropriate results. Finally, the method of JOSSI seems to be especially interesting for the viscosities restitution of systems containing light and non-contrast paraffins, but it is not suitable for complex mixtures and heavy hydrocarbons.
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Viscosity; Density; High Pressure; Temperature; Mixtures of Hydrocarbons

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Shabanov, A., Galyshev, Y., Zaitsev, A., Sidorov, A., Correlation between Lube Oil HTHS and Techno-Economic Performance and Service Life of a Reciprocating Engine, (2018) International Review of Mechanical Engineering (IREME), 12 (5), pp. 410-414.

Lertnuwat, B., Influence of Liquid Viscosity on the Taylor Bubble Shape Under a Laminar Condition in the Falling Film Region and a Constant Froude Number, (2018) International Review of Mechanical Engineering (IREME), 12 (12), pp. 957-964.

Al-Obaidy, N., Al-Shueli, A., Sattar, H., Majeed, Z., Hamid, N., An Experimental Study on Geotechnical and Electrical Properties of an Oil-Contaminated Soil at Thi-Qar Governorate/Iraq, (2019) International Review of Civil Engineering (IRECE), 10 (3), pp. 148-154.

Deshmukh, D., Chaudhari, V., Effect of Ambient Pressure on Macroscopic Spray Characteristic of Various Biodiesel Fuels, (2019) International Review of Mechanical Engineering (IREME), 13 (6), pp. 358-366.

Alvaro J, Malta, M.S.C, Calabrese C, Nguyen,T-B, Trusler, J P M, Vesovic. V. (2020) Measurements and modelling of the viscosity of six synthetic crude oil mixtures. Fluid Phase Equilibria 505 (2020) 112343.

Nguyen, T-B, Vesovic. V. (2019) Predicting the viscosity of liquid mixtures consisting of n-alkane, alkylbenzene and cycloalkane species based on molecular description. Fluid Phase Equilibria 487 58-70.

Wijn, A S, Riesco, N, Jackson, G, Trusler, J.P.M, Vesovic, V. (2012) Viscosity of liquid mixtures: the Vesovic-Wakeham method for chain molecules. J. Chem. Phys. 136 (2012), 074514.

Riesco, N, Vesovic, V. (2016) Extended hard-sphere model for predicting the viscosity of long-chain n-alkanes. Fluid Phase Equilib. 425 (2016) 385-392.

T.-B. Nguyen, N. Riesco, V. Vesovic. (2017) Predicting the viscosity of n-alkane liquid mixtures based on molecular description. Fuel 208 (2017) 363-376.

Pedersen, K. S., Fredenslund, A., Christensen, P. L., Thomassen, P. (1984). Viscosity of crude oils. Chemical Engineering Science, 39(6), 1011-1016.

Pedersen, K. S., & Fredenslund, A. (1987). An improved corresponding states model for the prediction of oil and gas viscosities and thermal conductivities. Chemical Engineering Science, 42(1), 182-186.

Aasberg-pedersen, K., (1991). These. Prediction of phase equilibria and physical properties for mixtures with oils, gases and water. Licentiatafhanding, DanmarksTekniskeHojskole.

Aasberg-Petersen, K., Knudsen, K., & Fredenslund, A. (1991). Prediction of viscosities of hydrocarbon mixtures. Fluid phase equilibria, 70(2-3), 293-308.

Et-Tahir, A., Boned, C., Lagourette, B., & Xans, P. (1995). Determination of the viscosity of various hydrocarbons and mixtures of hydrocarbons versus temperature and pressure. International journal of thermophysics, 16(6), 1309-1334.

Et-Tahir, A., Boned, C., Lagourette, B., Xans, P., (2010). Viscosity under pressure mixtures of hydrocarbons: A critical model reported double reference. Conference CIMTEC2010, Faenza Italy.

Malzi, M. J., Ettahir, A., Boned, C., Lagourette, B., Kettani, K., & Amarray, K. (2020). Critical Study of a Residual Viscosity Correlation of JOSSI: Pure Hydrocarbons Case. Materials Science Forum, Vol. 986, 61-67. Trans Tech Publications Ltd.

Ettahir, A., Boned, C., Lagourette, B., Kettani, K., Amarrayi, K., & Garoumi, M. (2017). Study of the viscosity of hydrocarbon mixtures under pressure and temperature: A critical model of the corresponding states to double reference in the modeling domain. In IOP Conference Series: Materials Science and Engineering (Vol. 241, No. 1, p. 012012). IOP Publishing.

Jossi, J. A., Stiel, L. I., & Thodos, G. (1962). The viscosity of pure substances in the dense gaseous and liquid phases. AIChE Journal, 8(1), 59-63.

Satyro, M A, Yarranton, H W. Expanded fluid-based viscosity correlation for hydrocarbons using an equation of state. Fluid Phase Equilib. 298 (2010) 1-11.

Motahhari, H, Satyro, M A, Taylor, S D, Yarranton, H W. (2013) Extension of the expanded fluid viscosity model to characterized oils, Energy Fuels 27 (2013) 1881-1898.

Et-tahir, A., (1991). Doctoral dissertation, Determination of the variations in the viscosity of various hydrocarbons as a function of pressure and temperature. Critical study of representative models. University of Pau, France.

Stiel, L. I., & Thodos, G. (1961). The viscosity of nonpolar gases at normal pressures. AIChE Journal, 7(4), 611-615.

Herning, F., & Zipperer, L. (1936). Calculation of the viscosity of technical gas mixtures from the viscosity of the individual gases. Gas u. Wasserfach, 79, 69.

Spencer, C. F., & Danner, R. P. (1972). Improved equation for prediction of saturated liquid density. Journal of Chemical and Engineering Data, 17(2), 236-241.

Soave, G. J. F. P. E. (1993). Improving the Treatment of Heavy Hydrocarbons by the SRK EOS. Fluid Phase Equilibria, 84, 339-342.

Plocker, U., Knapp, H., & Prausnitz, J. (1978). Calculation of high-pressure vapor-liquid equilibria from a corresponding-states correlation with emphasis on asymmetric mixtures. Industrial & Engineering Chemistry Process Design and Development, 17(3), 324-332.

Hankinson, R. W., & Thomson, G. H. (1979). A new correlation for saturated densities of liquids and their mixtures. AIChE Journal, 25(4), 653-663.

Teja, A. S. (1980). A corresponding states equation for saturated liquid densities. I. Applications to LNG. AIChE Journal, 26(3), 337-341.

Wong, D. S. H., Sandler, S. I., & Teja, A. S. (1983). Corresponding states, complex mixtures and mixture models. Fluid Phase Equilibria, 14, 79-90.

Ye, S., (1990). Measurement and use of ultrasound speed in pressurized liquids: Application to complex fluids of petroleum origin, Doctoral dissertation, University of Pau, France.

Muñoz-Rujas, N, Bazile, J P, Aguilar, F. Galliero, G. Daridon J L. (2012) Speed of sound and derivative properties of hydrofluoroether fluid HFE-7500 under high pressure. The Journal of Chemical Thermodynamics, Volume 112September 2017, Pages 52-58.

Behar, E., Simonet, R., & Rauzy, E. (1985). A new non-cubic equation of state. Fluid Phase Equilibria, 21(3), 237-255.

Jullian, S., (1988). Doctoral dissertation. Methods for the extension of models based on equations of states, to mixtures representative of reservoir fluids. ENSPM, France.

Peng, D. Y., & Robinson, D. B. (1976). A new two-constant equation of state. Industrial & Engineering Chemistry Fundamentals, 15(1), 59-64

Péneloux, A., Rauzy, E., & Fréze, R. (1982). A consistent correction for Redlich-Kwong-Soave volumes. Fluid phase equilibria, 8(1), 7-23.

Matthieu Habrioux, B M, Nasri, D. Daridon, J L. (2018) Measurement of speed of sound, density compressibility and viscosity in liquid methyl laurate and ethyl laurate up to 200 MPa by using acoustic wave sensors. The Journal of Chemical Thermodynamics, Volume 120May 2018, Pages 1-12.

Baylaucq, A, Boned, C, Canet, X, Zéberg-Mikkelsen C K, Quiñones-Cisneros S E, Zhou, H. (2005) Dynamic Viscosity Modeling of Methane + n-Decane and Methane + Toluene Mixtures : Comparative Study of Some Representative Models . Petroleum Science and Technology, 23: 143–157, 2005.

Reid, R. C., Prausnitz, J. M., & Poling, B. E. (1987). The properties of gases and liquids.

Le Roy, S., (1990), Contribution to the insertion of a thermodynamic model in a software for locating and evaluating oil deposits. Doctoral dissertation. University Pierre et Marie Curie, Paris VI.

Huang, E. T. S., Swift, G. W., & Kurata, F. (1967). Viscosities and densities of methane-propane mixtures at low temperatures and high pressures. AIChE Journal, 13(5), 846-850.

Lee, A.L., (1965). Viscosity of hydrocarbons mixtures. American Petroleum Institute, (1965),7-128.

Knapstad, B., Skjølsvik, P. A., & Øye, H. A. (1990). Viscosity of the n-Decane—Methane System in the Liquid Phase. Berichte der Bunsengesellschaft für physikalische Chemie, 94(10), 1156-1165.

Audonnet, F, Agílio AH P. (2004) Viscosity and density of mixtures of methane and n-decane from 298 to 393 K and up to 75 MPa. Fluid Phase Equilibria 216.2 (2004): 235-244.

Isdale J.D., Dymond J.H., Trevor A.B. (1979) High Temperature- High Pressure, 1979, 11, 571-580

Tanaka, Y., Hosokawa, H., Kubota, H., & Makita, T. (1991). Viscosity and density of binary mixtures of cyclohexane with n-octane, n-dodecane, and n-hexadecane under high pressures. International Journal of Thermophysics, 12(2), 245-264.

Dymond, J. H., Awan, M. A., Glen, N. F., & Isdale, J. D. (1991). Transport properties of nonelectrolyte liquid mixtures. VIII. Viscosity coefficients for toluene and for three mixtures of toluene+ hexane from 25 to 100 C at pressures up to 500 MPa. International journal of thermophysics, 12(2), 275-287.

Kanti, M., (1988). Doctoral dissertation. Viscosity of mixtures of alkanes and alkylbenzenes as a function of pressure and temperature. Application to petroleum cuts. University of Pau, France

Dymond, J. H., Robertson, J., & Isdale, J. D. (1981). Transport properties of nonelectrolyte liquid mixtures—III. Viscosity coefficients for n-octane, n-dodecane, and equimolar mixtures of n-octane+ n-dodecane and n-hexane+ n-dodecane from 25 to 100°C at pressures up to the freezing pressure or 500 MPa. International Journal of Thermophysics, 2(2), 133-154.

Luning Prak, D J, Ye, S, McLaughlin, M, Cowart, J S, Trulove, P C. (2017) Density, viscosity, speed of sound, bulk modulus, surface tension, and flash point of selected ternary mixtures of n-butylcyclohexane + a linear alkane (n-Hexadcane or n-dodecane) + an aromatic compound (toluene, n-butylbenzene, or n-hexylbenzene), J. Chem. Eng. Data 62 (2017) 3452-3472.

El-Hadad, O, Cai, R, Asfour, A-F A. (2012) Densities and kinematic viscosities of one quinary regular liquid system and its five quaternary sub-systems at temperatures (293.15 and 298.15) K, Int. J. Thermophys. 33 (2012) 437-448.

Cai, A. (2004) A Study of the Viscosities and Densities of Some Multi-Component Regular Non-electrolyte Solutions at Different Temperatures, MSc Thesis, University of Windsor, Ontario, Canada, 2004.

El-Hadad,, O, Cai, R, Asfour, A-F A. (2015) Densities and kinematic viscosities of a quinary regular liquid system and its five quaternary subsystems at 293.15 K and 298.15 K, Int. J. Thermophys. 36 (2015) 69-80.

El-Sayed, H.E.M, Asfour, A.-F.A. (2013) Densities and viscosities of the regular quinary system: benzene (1) + toluene (2) + ethylbenzene (3) + heptane (4) + Cyclooctane (5) and its quaternary sub-systems at 293.15 and 298.15 K, J. Solut. Chem. 42 (2013) 136-150.

Ali, J. K. (1991). Evaluation of correlations for estimating the viscosities of hydrocarbon fluids. Journal of Petroleum Science and Engineering, 5(4), 351-369.


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