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Abstract <p>The process of supercritical fluid extraction (SFE) of a solute from raw material with a high initial oil content is studied within the framework of the shrinking core model. The extraction times under consideration are typical for experiments in laboratory and pilot scales, when the first stage with high extraction rates is observed. An analytical solution of the model equations is derived for a polydisperse packed bed and is specified for a particular case of the random mixture of particles of two different sizes <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(a_{0}\leq a_{1}\)</EquationSource> <!--LobJMat2561251Salamatin-m1--> </InlineEquation>. Typical extraction regimes are analyzed in this limiting case of the ensemble of ground particles. The phase portrait of the SFE dynamics is plotted and discussed.</p>

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Analytical Solution of the Supercritical Fluid Extraction Model Specified for Bidisperse Packed Beds of Plain Particles

  • 期刊论文

  • 发表日期：

    2025年11月1日

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  • A. A. Salamatin,
  • A. S. Khaliullina

摘要

Abstract

The process of supercritical fluid extraction (SFE) of a solute from raw material with a high initial oil content is studied within the framework of the shrinking core model. The extraction times under consideration are typical for experiments in laboratory and pilot scales, when the first stage with high extraction rates is observed. An analytical solution of the model equations is derived for a polydisperse packed bed and is specified for a particular case of the random mixture of particles of two different sizes \(a_{0}\leq a_{1}\) . Typical extraction regimes are analyzed in this limiting case of the ensemble of ground particles. The phase portrait of the SFE dynamics is plotted and discussed.