Mathematical modeling and steady‐state analysis of a scheibel extraction column

I. Alatiqi, G. Aly*, F. Mjalli, C. J. Mumford

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

10 Citations (Scopus)


The steady‐state behavior of a nine‐stage Scheibel extraction column was modeled and simulated using a back flow stagewise model. Steady‐state experiments were conducted, using the system water‐acetone‐toluene, for three phase ratios and three agitator speeds. The mathematical model was validated with the experimental concentration profiles by a single parameter fitting technique with an unconstrained optimization algorithm. Steady‐stage analysis of the experiments was performed for a further control study. The calculated steady‐state gain matrices were used for interaction analysis using different steady‐state analysis methods, e.g. Bristol numbers, Condition numbers, Morari Indexes of Integral Controllability, and Niederlinski Indexes. The results indicate that both agitator speed and phase ratio have a substantial influence on the control structure. Dynamic analysis should therefore be performed to verify the optimum control method for this process.

Original languageEnglish
Pages (from-to)523-533
Number of pages11
JournalCanadian Journal of Chemical Engineering
Issue number4
Publication statusPublished - Aug 1995
Externally publishedYes


  • Scheibel column
  • liquid‐liquid extraction
  • mathematical model
  • steady‐state analysis
  • variable pairing

ASJC Scopus subject areas

  • Chemical Engineering(all)


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