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February 8, 2026AIChE Journal0 citationsOpen Access

Transient modeling of extraction columns: Parameter estimation, uncertainty analysis, and operation optimization

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APAndreas PalmtagJDJannik DohmenAJAndreas Jupke

Key Points

  • The research aims to improve the reliability and applicability of transient column models in extraction processes.
  • Analyzed uncertainty propagation in a previously introduced column model.
  • Assessed parameter identifiability through ill-conditioning analysis.
  • Estimated parameters using fluid dynamic experiments and validated against mass transfer data.
  • Employed maximum likelihood for parameter estimation from DN50 pulsed sieve tray column.
  • Achieved model reproduction of concentration profiles with relative errors below 10%.
  • Confirmed coefficients of variation from uncertainty analysis were below 4%, indicating reliable estimations.
  • Optimized the model to minimize solvent demand for 99% product recovery.

Abstract

Abstract Despite extensive modeling efforts in extraction research, transient column models are rarely applied in industry due to concerns regarding parameter identifiability and model reliability. To address this, we analyzed uncertainty propagation from estimated parameters in a previously introduced column model and assessed identifiability via ill‐conditioning analysis. Extrapolation was evaluated by estimating parameters from fluid dynamic experiments and validating with mass transfer data. Using a DN50 pulsed sieve tray column, parameters , and the swarm exponent were estimated through maximum likelihood, as they directly affect online‐measurable drop diameter and hold‐up . Incorporating these estimates, the model reproduced , , and stationary and transient concentration profiles with relative errors below 10%. For optimization, we applied the model to minimize solvent demand for 99% product recovery. Uncertainty analysis showed coefficients of variation below 4%, confirming model reliability.

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Cite This Study

Palmtag et al. (2026) studied this question.

synapsesocial.com/papers/698827b40fc35cd7a88469eehttps://doi.org/10.1002/aic.70227
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