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Relative importance of process parameters and their mutual interactions on the hydrodynamics of a pulsed disc and doughnut column

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The pulsed disc and doughnut extraction column (PDDC) has emerged as an efficient equipment in the field of hydrometallurgy. This work is concerned with determining the statistically significant process parameters and their mutual interaction in relation to the hydrodynamics of a PDDC. Pulsation intensity, %duty cycle, total throughput and organic to aqueous ratio are selected as the process variables. By the Analysis of Variance and the Student’s t test, Pulsation intensity has been identified as the most important parameter in the dispersion regime. %Duty cycle turns out to be a statistically significant process parameter. The mutual interaction between total throughput with pulsation intensity is found to be most influential on the dispersed phase holdup in the dispersion regime. It has been found that the dispersed holdup data is normally distributed. Based on the data, a linear regression model was fitted for the dispersion with an adjusted R2 of 0.983.

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Pulsed sieve plate column


Pulsed disc and doughnut column


Height of transfer unit


Total dissolved solids


Design of experiment


Organic to aqueous


Analysis of variance


Mean sum of square


Mean sum of square error


Degrees of freedom


Standard error


%Duty cycle


Pulsation intensity


Total throughput


O/A ratio


Number of replicates


Number of level


  1. Angelov G, Gourdon C (2012) Pressure drop in pulsed extraction columns with internals of discs and doughnuts. Chem Eng Res Des 90:877–883

  2. Cohen RM, Beyer GH (1953) Performance of a pulse extraction column. Chem Eng Prog 49(6):279–286

  3. Cox DR (2009) Randomization in the design of experiments. Int Stat Rev 77:415–429

  4. Dijck WJD (1935) U.S. Patent 2,011,186, Process and apparatus for intimately contacting fluids

  5. Feick G, Anderson HM (1952) Performance of a packed liquid-liquid extraction column under controlled agitation. Ind Eng Chem 44:404–409

  6. Gayler R, Pratt HRC (1951) Holdup and pressure drop in packed columns. Trans Inst Chem Eng 29:110–125

  7. Inc M (2007) MINITAB 15

  8. Jahya AB, Clive Pratt HR, Stevens GW (2005) Comparison of the performance of a pulsed disc and doughnut column with a pulsed sieve plate liquid extraction column. Solvent Extr Ion Exch 23:307–317

  9. Jahya AB, Stevens GW, Pratt HRC (2009) Pulsed disc-and-doughnut column performance. Solvent Extr Ion Exch 27:63–82

  10. Kumar A, Hartland S (1983) Correlations for dispersed phase hold-up in pulsed sieve-plate liquid-liquid extraction columns. Chem Eng Res Des 61:248–252

  11. Kumar R, Sivakumar D, Kumar S, Mudali UK (2013) Modeling of hydrodynamics in a 25 mm φ pulsed disk and doughnut column. ISRN Chem Eng. https://doi.org/10.1155/2013/547489

  12. Logsdail DH, Thornton JD (1957) Liquid-liquid extraction. part XIV. the effect of column diameter upon the performance and throughput of pulsed plate columns. Trans Inst Chem Eng (London) 35:331–342

  13. Movsowitz RL, Kleinberger L, Buchalter EM (1997) Application of bateman pulsed columns for uranium SX–from pilot to industrial columns. In: ALTA uranium to yellowcake proceedings

  14. Myers RH, Montgomery DC, Anderson-Cook CM (2009) Response surface methodology: process and product optimization using designed experiments. Wiley series in probability and statistics, Chapter-2. Wiley, Hoboken, p 181

  15. Retieb S, Guiraud P, Angelov G, Gourdon C (2007) Hold-up within two-phase countercurrent pulsed columns via Eulerian simulations. Chem Eng Sci 62:4558–4572

  16. Shah M, Garg SK (2014) Application of full factorial design in optimization of solvent-free microwave extraction of ginger essential oil. J Eng. https://doi.org/10.1155/2014/828606

  17. Torab-Mostaedi M, Jalilvand H, Outokesh M (2011a) Dispersed phase holdup in a pulsed disc and doughnut extraction column. Braz J Chem Eng 28:313–323

  18. Torab-Mostaedi M, Jalilvand H, Outokesh M (2011b) Slip velosity in pulsed disc and doughnut extraction columns. Chem Ind Chem Eng Q 17:333–339

  19. van Delden ML (2005) Ph.D. Thesis, Caprolactam extraction in a pulsed disc and doughnut column with a benign mixed solvent

  20. Wang Y, Mumford KA, Smith KH, Li Z, Stevens GW (2016a) Dispersed-phase holdup and characteristic velocity in a pulsed and nonpulsed disk-and-doughnut solvent extraction column. Ind Eng Chem Res 55:714–721

  21. Wang Y, Smith KH, Mumford K, Grabin TF, Li Z, Stevens GW (2016b) 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

  22. Xynos N, Papaefstathiou G, Gikas E, Argyropoulou A, Aligiannis N, Skaltsounis A-L (2014) Design optimization study of the extraction of olive leaves performed with pressurized liquid extraction using response surface methodology. Sep Purif Technol 122:323–330

  23. Yadav RL, Patwardhan AW (2008) Design aspects of pulsed sieve plate columns. Chem Eng J 13:389–415. https://doi.org/10.1016/j.cej.2007.06.015

  24. Zhmud B (2014) Viscosity blending equations. Eur Lubr Ind Mag 93:1–4

  25. Zuorro A, Fidaleo M, Lavecchia R (2011) Enzyme-assisted extraction of lycopene from tomato processing waste. Enzyme Microb Technol 49:567–573

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The DFGS-PhD Fellowship granted by Department of Atomic Energy (DAE), Govt. of India is humbly acknowledged by the author. Sincere gratitude is extended towards Mr. B.V. Shah, Shri R. Disilva, Shri R.N Rath, Shri R.S. Gaygwal for sharing their expertise and helping in the experimental setup. Effort of Mr. Trushit Makhwana is humbly acknowledged for arranging the metering pumps. Mr. Sukhdeep Singh, Mr. Avinashn Sahu, Shri Puranchand Bhagat and Shri Devesh Kumar are also acknowledged for their kind support.

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Correspondence to Vivekananda Sinha.

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Sinha, V., Datta, D. & Vincent, T. Relative importance of process parameters and their mutual interactions on the hydrodynamics of a pulsed disc and doughnut column. Braz. J. Chem. Eng. (2020). https://doi.org/10.1007/s43153-020-00022-0

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  • Dispersed phase holdup
  • Dispersion regime
  • Two-level full factorial design
  • Analysis of variance