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CFD simulation and experimental investigation of the copper solvent extraction in a pilot plant pulsed packed column in Sarcheshmeh Copper Complex

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Abstract

Present work deals with the development of a computational fluid dynamics (CFD) model for investigate the extraction of copper from leach solution with the Lix84-I. The model is based on Eulerian–Eulerian two phase equations in conjunction with the realizable k-ε model for turbulence. Population balance modeling (PBM) is used to describe the dynamics of the time and space variation of droplet sizes in the column. The PBM equation is solved using the class method. The mass transfer is the important parameters which can improve the performance of pulsed column and changes widely with the variation in the droplet number density. Valid empirical correlations were implemented to the CFD model for mass transfer coefficients by user defined functions. To validate the model, the results of CFD model and experimental measurements were compared and there was a good agreement between them. The effects of flow rates and intensity of pulsation on the yield of copper extraction and entrainment of the organic phase were studied. The results shown that increasing the phase ratio (the flow rate of organic phase/aqueous phase) from 0.5 to 1.75, caused yield of copper extraction from leach solution increased from 31 to 91%. The organic entrainment increased with increasing the pulse intensity and phase flow rates. Additionally, the results show that the performance of the pulsed packed column for copper extraction is reasonable.

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Abbreviations

A:

Pulse amplitude (m)

f:

Pulse frequency (Hz)

\(\vec{F}_{lift,q}\) :

Lift force

\(\vec{F}_{vm,q}\) :

Virtual mass

g:

Acceleration due to gravity (9.81 m/s2)

\(\dot{m}_{pq}\) :

Mass transfer from the pth to qth phase

\(\dot{m}_{qp}\) :

Mass transfer from the qth to pth phase

QC :

Flow rate of the continuous phase (L/h)

QD :

Flow rate of the dispersed phase (L/h)

S q :

Mass source for each phase

Vc :

Superficial velocity of the continuous phase (m/s)

Vd :

Superficial velocity of the dispersed phase (m/s)

Udin :

Inlet velocity of the dispersed phase (m/s)

Udo :

Inlet velocity of the dispersed phase without pulse

α q :

Phase fraction of the qth phase

ρ q :

Density of the qth phase (kg/m3)

Δρ :

Density difference between the phases (kg/m3)

φ :

Hold up of the dispersed phase

\(\vec{v}_{q}\) :

Velocity of phase q

\(\overline{\overline{\tau }}_{q}\) :

qth phase stress–strain tensor

References

  1. Davenport WG, King M, Schlesinger M, Biswas AK (2002) Extractive metallurgy of copper. Elsevier, Amsterdam

    Google Scholar 

  2. Kordosky GA (2002) Copper recovery using leach solvent extraction electrowinning technology: forty years of innovation, 2.2 million tonnes of copper annually. J S Afr Inst Min Metall 8:445–450

    Google Scholar 

  3. Kopriwa N, Buchbender F, Ayesterán J, Kalem M, Pfennig AA (2012) A critical review of the application of drop-population balances for the design of solvent extraction columns: I. Concept of solving drop-population balances and modelling breakage and coalescence. Solvent Extr Ion Exch 30:683–723

    Article  Google Scholar 

  4. Godfrey JC, Slater MJ (1994) Liquid–liquid extraction equipment. Wiley, London

    Google Scholar 

  5. Van Dijck WJD (1935) US patent, 2,011,186

  6. Wang Y, Smith KH, Mumford K, Grabin TF, Li Z, Stevens GW (2016) Prediction of dispersed phase holdup in pulsed disc and doughnut solvent extraction columns under different mass transfer conditions. Chin J Chem Eng 24:226–231

    Article  Google Scholar 

  7. Vancas MF (2003) Pulsed column and mixer-settler applications in solvent extraction. JOM 55:43–45

    Article  Google Scholar 

  8. Bart HJ, Garthe D, Grömping T, Pfennig A, Schmidt S, Stichlmair J (2006) From the single drop to the extraction column. Chem Ing Tech 78:543–547

    Article  Google Scholar 

  9. Garthe D (2006) Fluid dynamics and mass transfer of single particles and swarms of particles in extraction columns. Ph.D. thesis, TU Munchen

  10. Murat Kalem FB, Pfennig Andreas (2010) Simulation of hydrodynamics in RDC extraction columns using the simulation tool ReDrop. Chem Eng Res Des 89:1–9

    Article  Google Scholar 

  11. Ferreira AE, Agarwal Sh, Machado RM, Gamerio MLF et al (2010) Extraction of copper from acidic leach solution with Acorga M5640 using a pulsed sieve plate column. Hydrometallurgy 104:66

    Article  Google Scholar 

  12. Gamerio MLF, Machado RM, Ismael MRC, Reis MTA (2010) Copper extraction from ammonical medium in a pulsed sieve-plate column with LIX 84-I. J Hazard Mater 183:165

    Article  Google Scholar 

  13. Gottliebsen K, Grinbaum B, Chen D, Stevens G (2000) The use of pulsed perforated plate extraction column for recovery of sulphuric acid from copper tank house electrolyte. Hydrometall 58:203

    Article  Google Scholar 

  14. Jie Yu, Weiyang F (2004) Hydrodynamic and mass transfer in a pulsed packed column. Can J Chem Eng 78:1040

    Article  Google Scholar 

  15. Yuana Y, Hana M, Chenga C, Wanga D, Jina J (2005) Experimental and CFD analysis of two-phase cross/counter current flow in the packed column with a noval internal. Chem Eng Sci 60:6210

    Article  Google Scholar 

  16. Asadollahzadeh M, Safdari J, Haghighi-Asl A, Trob-Mostaedi M (2012) Dispersed phase characteristic velocity in a pulsed packed extraction column. CI&CEQ 18:255

    Article  Google Scholar 

  17. Mjalli FS, Abdel Jabbar NM, Fletcher JP (2005) Modeling simulation and control of a scheibel liquid-liquid contactor Part 1. Dynamic analysis and system identification. Chem Eng Process 44:543

    Article  Google Scholar 

  18. Garthe D (2006) Fluid dynamics and mass transfer of single particles and swarms of particles in extraction columns. Ph.D. thesis, TU Munchen

  19. Bart HJ, Garthe D, Grömping T, Pfennig A, Schmid S, Stichlmair J (2006) From the single drop to the extraction column. Chem Ing Tech 78:543–547

    Article  Google Scholar 

  20. Schmidt SA, Simon MM, Lagar LG, Barat HJ (2006) Droplet Population balance modeling-hydrodynamic and mass transfer. Chem Eng Sci 61:246–256

    Article  Google Scholar 

  21. Ramkirshna D (2000) Population balances: theory and applications to particulate systems in engineering. Academic Press, San Diago

    Google Scholar 

  22. Jaradat M, Attarakih M, Bart HJ (2011) Population balance modeling of pulsed (packed and sieve-plate) extraction columns: coupled hydrodynamic and mass transfer. Ind Eng Chem Res 50:14121–14135

    Article  Google Scholar 

  23. Jaradat M, Attarakin MM, Steinmetz T, Bart H (2012) LLECMOD: a bivariate population balance simulation tool for pulsed liquid–liquid extraction columns. Chem Eng J 6:8–31

    Google Scholar 

  24. Jaradat M, Attarakih M, Bart HJ (2010) Effect of phase dispersion and mass transfer direction on steady state RDC performance using population balance modelling. Chem Eng J 165:379–387

    Article  Google Scholar 

  25. Amokrane A, Maaß S, Lamadie F, Puel F, Charton S (2016) On droplets size distribution in a pulsed column. Part I: in situ measurements and corresponding CFD–PBE simulations. Chem Eng J 296:366–376

    Article  Google Scholar 

  26. Hulburt HM, Kats S (1964) Some problems in particle technology. Chem Eng Sci 19:555–574

    Article  Google Scholar 

  27. Bahmanyar H, Slater MJ (1991) Studies of drop breakage up in liquid-liquid systems in a rotating disc contactor part I: conditions of no mass transfer. Chem Eng Technol 14:79–89

    Article  Google Scholar 

  28. Attarakih M, Abu-Khader M, Bart HJ (2013) Modelling and dynamic analysis of an RDC extraction column using opospm. Chem Eng Sci 91:180–196

    Article  Google Scholar 

  29. Guiraud P, Gourdon C (2003) Lagrangian simulations contribution to the knowledge of discs and doughnuts pulsed solvent extraction columns hydrodynamics. Chem Eng Process 42:503–516

    Article  Google Scholar 

  30. Yadav Randheer L, Patwardhan Ashwin W (2009) CFD modeling of sieve and pulsed-sieve plate extraction columns. Chem Eng Res Des 8(7):25–35

    Article  Google Scholar 

  31. Ranade VV (2002) Computational flow modeling for chemical reactor engineering. Academic Press, San Diago, pp 85–95

    Google Scholar 

  32. Fluent 6.3 User’s Guide, Copyright 2006, Fluent, Inc

  33. Wang F, Mao ZS (2005) Numerical and experimental investigation of liquid–liquid two phase flow in stirred tank. Ind Eng Chem Res 44:5776–5787

    Article  Google Scholar 

  34. Kumar S, Ramkrishna D (1996) On the solution of population balance equations by discretization—I: a fixed pivot technique. Chem Eng Sci 51:1311–1332

    Article  Google Scholar 

  35. Michaelides EE (2006) Particles bubbles and drops. World Scientific, Singapore

    Book  Google Scholar 

  36. Clift R (1987) Bubbles, drops and particles. Academic Press, New York

    Google Scholar 

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Acknowledgements

The authors would like to acknowledge Sarcheshmeh Copper Complex for their financial support.

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Correspondence to Amir Sarrafi.

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Mirzaie, M., Sarrafi, A., Hashemipour, H. et al. CFD simulation and experimental investigation of the copper solvent extraction in a pilot plant pulsed packed column in Sarcheshmeh Copper Complex. Heat Mass Transfer 53, 1995–2008 (2017). https://doi.org/10.1007/s00231-016-1956-5

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  • DOI: https://doi.org/10.1007/s00231-016-1956-5

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