Mass transfer coefficient in the eductor liquid-liquid extraction column

doi:10.1016/j.cjche.2020.12.017

Abstract

Abstract: In this research gasoil desalting was investigated from mass transfer point of view in an eductor liquid–liquid extraction column (eductor-LLE device). Mass transfer characteristics of the eductor-LLE device were evaluated and an empirical correlation was obtained by dimensional analysis of the dispersed phase Sherwood number. The Results showed that the overall mass transfer coefficient of the dispersed phase and extraction efficiency have been increased by increasing Sauter mean diameter (SMD) and decreasing the nozzle diameter from 2 to 1 mm, respectively. The effects of Reynolds number (Re), projection ratio (ratio of the distance between venturi throat and nozzle tip to venturi throat diameter, R_pr), venturi throat area to nozzle area ratio (R_th-n) and two phases flow rates ratio (R_Q) on the mass transfer coefficient (K) were determined. According to the results, K increase with increasing Re and R_Q and also with decreasing R_pr and R_th-n. Semi-empirical models of drop formation, rising and coalescence were compared with our proposed empirical model. It was revealed that the present model provided a relatively good fitting for the mass transfer model of drop coalescence. Moreover, experimental data were in better agreement with calculated data with AARE value of 0.085.

Key words: Gasoil desalting, Liquid-liquid extraction, Eductor-LLE device, Mass transfer coefficient, Extraction efficiency

摘要： In this research gasoil desalting was investigated from mass transfer point of view in an eductor liquid–liquid extraction column (eductor-LLE device). Mass transfer characteristics of the eductor-LLE device were evaluated and an empirical correlation was obtained by dimensional analysis of the dispersed phase Sherwood number. The Results showed that the overall mass transfer coefficient of the dispersed phase and extraction efficiency have been increased by increasing Sauter mean diameter (SMD) and decreasing the nozzle diameter from 2 to 1 mm, respectively. The effects of Reynolds number (Re), projection ratio (ratio of the distance between venturi throat and nozzle tip to venturi throat diameter, R_pr), venturi throat area to nozzle area ratio (R_th-n) and two phases flow rates ratio (R_Q) on the mass transfer coefficient (K) were determined. According to the results, K increase with increasing Re and R_Q and also with decreasing R_pr and R_th-n. Semi-empirical models of drop formation, rising and coalescence were compared with our proposed empirical model. It was revealed that the present model provided a relatively good fitting for the mass transfer model of drop coalescence. Moreover, experimental data were in better agreement with calculated data with AARE value of 0.085.

关键词: Gasoil desalting, Liquid-liquid extraction, Eductor-LLE device, Mass transfer coefficient, Extraction efficiency

Bahare Esmaeeli, Ahad Ghaemi, Mansour Shirvani, Mostafa Hosseinzadeh. Mass transfer coefficient in the eductor liquid-liquid extraction column[J]. Chinese Journal of Chemical Engineering, 2021, 40(12): 27-35.

Bahare Esmaeeli, Ahad Ghaemi, Mansour Shirvani, Mostafa Hosseinzadeh. Mass transfer coefficient in the eductor liquid-liquid extraction column[J]. 中国化学工程学报, 2021, 40(12): 27-35.

References

[1] R.E. Treybal, Liquid Extraction, in: f. edition (Ed.) Mcgraw-Hill Book Company Inc, New York, 1951.
[2] V.S. Kislik, Solvent extraction: classical and novel approaches, Elsevier2011
[3] T.C. Lo, M.H. Baird, C. Hanson, Handbook of solvent extraction, Wiley New York etc.1983
[4] Clift R., Grace J., Weber M., Bubbles, Drops and Particles, Academic Press, New York, 197
[5] A.M. Dehkordi, Application of a novel-opposed-jets contacting device in liquid-liquid extraction, Chem. Eng. Process, 41 (3) (2002) 251-258
[6] J. Saien, S. Asadabadi, Salting-out effect of NaCl on the rate of mass transfer of liquid-liquid extraction in a two impinging-jets contacting device, J. Taiwan Inst. Chem. Eng., 41 (3) (2010) 295-301
[7] D.-W. Sun, I.W. Eames, Recent developments in the design theories and applications of ejectors-a review, Energy & Fuels, 1995, pp. 361
[8] R.L. Yadav, A.W. Patwardhan, Design aspects of ejectors: Effects of suction chamber geometry, Chem. Eng. Sci., 63 (15) (2008) 3886-3897
[9] A. Suresh, T. Srinivasan, P. Vasudeva Rao, C. Rajagopalan, S. Koganti, U/Th Separation by counter-current liquid-liquid extraction with tri‐sec butyl phosphate by using an ejector mixer-settler, Sep. Pur. Technol., 39 (10) (2005) 2477-2496
[10] Ludwig E.E., Applied process design for chemical and petrochemical plants, Gulf Publishing Co., Houston, 1984.
[11] A. Sahu, A.B. Vir, L.S. Molleti, S. Ramji, S. Pushpavanam, Comparison of liquid-liquid extraction in batch systems and micro-channels, Chem. Eng. Process, 104 (2016) 190-200
[12] M. Moresi, G. Bartolo Gianturco, E. Sebastiani, The ejector‐loop fermenter: Description and performance of the apparatus, Biotechnol. Bioeng., 25 (12) (1983) 2889-2904
[13] M. Hosseinzadeh, A. Ghaemi, M. Shirvani, Hydrodynamic performance evaluation of a novel eductor liquid-liquid extractor using CFD modeling, Chem. Eng. R&D, 126 (2017) 19-31
[14] M. Hosseinzadeh, M. Shirvani, A. Ghaemi, A study on mean drop size and drop size distribution in an eductor liquid-liquid extractor, Sep. Pur. Technol., 201 (2018) 205-213
[15] J. Gu, Q. Xu, H. Zhou, W. Li, J. Zhang, Liquid-liquid mass transfer property of two inline high shear mixers, Chemical Engineering and Processing: Process Intensification, 101 (2016) 16-24
[16] C.V. Rajagopalan, K. Periasamy, S.B. Koganti, Development of air pulsed ejector mixer-settlers of different capacities, Adv. Chem. Eng. Nuc. Proc. Ind., (1994) 517-523
[17] H. Sawistowski, Influence of mass‐transfer‐induced Marangoni effects on magnitude of interfacial area and equipment performance in mass transfer operations, Chem. Ing. Tech., 45 (18) (1973) 1114-1117
[18] D.K. Acharjee, A.K. Mztra, A.N. Roy, Co current flow liquid liquid binary mass transfer in ejectors, Can. J. Chem. Eng., 56 (1978)
[19] A. Suresh, T.G. Srinivasan, P.R.V. Rao, C.V. Rajagopalan, S.B. Koganti, U/Th separation by counter‐current liquid-liquid extraction with tri‐sec butyl phosphate by using an ejector mixer-settler, Separ. Sci. Technol., 39 (10) (2004) 2477-2496
[20] H.C. Burkholder, J.C. Berg, Effect of mass transfer on laminar jet breakup: Part I. Liquid jets in gases, AIChE J., 20 (5) (1974) 863-872
[21] S. Kimura, T. Miyauchi, Mass transfer in a liquid—liquid laminar jet, Chem. Eng. Sci., 21 (11) (1966) 1057-1065
[22] H. Cheng, J. Zhao, J. Wang, Experimental investigation on the characteristics of melt jet breakup in water: The importance of surface tension and Rayleigh-Plateau instability, Ind. Eng. Chem. Res., 132 (2019) 388-393
[23] J. Saien, F. Ashrafi, Mass transfer enhancement in liquid- liquid extraction with very dilute aqueous salt solutions, Ind. Eng. Chem. Res., 48 (22) (2009) 10008-10014
[24] A. Tamir, Impinging-stream reactors: fundamentals and applications, Elsevier2014
[25] J. Saien, S. Daliri, Modelling mass transfer coefficient for liquid-liquid extraction with the interface adsorption of hydroxyl ions, Korean J. Chem. Eng., 26 (4) (2009) 963-968
[26] H. Zheng, W. Ren, K. Chen, Y. Gu, Z. Bai, S. Zhao, Influence of Marangoni convection on mass transfer in the n-propyl acetate/acetic acid/water system, Chem. Eng. Sci., 111 (2014) 278-285
[27] N. Maan, Mathematical modelling of mass transfer in a multi-stage rotating disc contactor column, Ph.D Thesis, Universiti Teknologi Malaysia, 2006.
[28] M. Asadollahzadeh, A. Hemmati, M. Torab-Mostaedi, M. Shirvani, A. Ghaemi, Z. Mohsenzadeh, Use of axial dispersion model for determination of Sherwood number and mass transfer coefficients in a perforated rotating disc contactor, Chin. J. Chem. Eng., 25 (1) (2017) 53-61
[29] A. Hemmati, M. Shirvani, M. Torab-Mostaedi, A. Ghaemi, Mass transfer coefficients in a perforated rotating disc contactor (PRDC), Chem. Eng. Process, 100 (2016) 19-25
[30] L.N. Gomes, M.L. Guimaraes, J. Stichlmair, J.J. Cruz-Pinto, Effects of Mass Transfer on the Steady State and Dynamic Performance of a Kühni Column- Experimental Observations, Industrial & engineering chemistry research, 48 (7) (2009) 3580-3588
[31] M. Torab-Mostaedi, J. Safdari, A. Ghaemi, Mass transfer coeficients in pulsed perforated-plate extraction columns, Brazilian J. Chem. Eng., 27 (2) (2010) 243-251
[32] M. Asadollahzadeh, A. Ghaemi, M. Torab-Mostaedi, S. Shahhosseini, Experimental mass transfer coefficients in a pilot plant multistage column extractor, Chin. J. Chem. Eng., 24 (8) (2016) 989-999
[33] C. Wilke, P. Chang, Correlation of diffusion coefficients in dilute solutions, AIChE J., 1 (2) (1955) 264-270
[34] A.F. Rusydi, Correlation between conductivity and total dissolved solid in various type of water: A review, IOP Conference Series: Earth and Environmental Science, IOP Publishing, 2018, pp. 012019
[35] R.E. Treybal, Mass transfer operations, Mcgraw-Hill Book Company Inc., New York, 1980
[36] A. Nienow, Break-up, coalescence and catastrophic phase inversion in turbulent contactors, Adv. Colloid Interface Sci., 108 (2004) 95-103
[37] W.L. McCabe, J.C. Smith, P. Harriott, Unit operations of chemical engineering, McGraw-hill New York1993
[38] A. Skelland, Y.F. Huang, Dispersed phase mass transfer during drop formation under jetting conditions, AIChE J., 23 (5) (1977) 701-714
[39] A. Skelland, S.S. Minhas, Dispersed phase mass transfer during drop formation and coalescence in liquid‐liquid extraction, AIChE J., 17 (6) (1971) 1316-1324
[40] A. Skelland, R. Wellek, Resistance to mass transfer inside droplets, AIChE J., 10 (4) (1964) 491-496
[41] V. Kirou, L.L. Tavlarides, J. Bonnet, C. Tsouris, Flooding, holdup, and drop size measurements in a multistage column extractor, AIChE j., 34 (2) (1988) 283-292
[42] Y. Sun, Q. Zhao, L. Zhang, B. Jiang, Measurement and Correlation of the Mass-Transfer Coefficient for the Methyl Isobutyl Ketone-Water-Phenol System, Ind. Eng. Chem. Res., 53 (9) (2014) 3654-3661
[43] Z. Huang, C. Ye, L. Li, X. Zhang, T. Qiu, Measurement and correlation of the mass transfer coefficient for a liquid-liquid system with high density difference, Brazilian J. Chem. Eng., 33 (4) (2016) 897-906
[44] J. Saien, S.A.E. Zonouzian, A.M. Dehkordi, Investigation of a two impinging-jets contacting device for liquid-liquid extraction processes, Chem. Eng. Sci., 61 (12) (2006) 3942-3950
[45] A. Hemmati, M. Torab-Mostaedi, M. Asadollahzadeh, Mass transfer coefficients in a Kühni extraction column, Chem. Eng. Process, 93 (2015) 747-754
[46] M. Wegener, N. Paul, M. Kraume, Fluid dynamics and mass transfer at single droplets in liquid/liquid systems, Int. J. Heat Mass Transf., 71 (2014) 475-495
[47] Y.L. Lee, Surfactants effects on mass transfer during drop‐formation and drop falling stages, AIChE J., 49 (7) (2003) 1859-1869
[48] M. Hashem, A. El-Bassuoni, Drop formation mass transfer coefficients in extraction columns, Theor. Found. Chem. Eng., 41 (5) (2007) 506-511
[49] J. Petera, L. Weatherley, Modelling of mass transfer from falling droplets, Chem. Eng. Sci., 56 (16) (2001) 4929-4947
[50] D. Webster, E.K. Longmire, Jet pinch-off and drop formation in immiscible liquid-liquid systems, Exp. Fluids, 30 (1) (2001) 47-56
[51] T. Ban, F. Kawaizumi, S. Nii, K. Takahashi, Study of drop coalescence behavior for liquid-liquid extraction operation, Chem. Eng. Sci., 55 (22) (2000) 5385-5391