Iranian Journal of Chemical Engineering (IJChE)
Scientific Journal

Mathematical Modeling of Mass Transfer during Solid-Liquid Extraction in Fixed, Expanded and Fluidized-Bed Columns

Document Type : Regular Article

Authors

Maryam Seif
Behrooz Abbasi Souraki
Javad Sayyad Amin

Chemical Engineering Department, Faculty of Engineering, University of Guilan, Rasht, Iran

https://doi.org/10.22034/ijche.2024.450503.1527
Abstract
In this paper, modeling approaches were given for explaining mass transfer during solid-liquid extraction in continuous fixed, expanded, and fluidized-bed extractors. The first approach utilizes a differential mass balance-based model, focusing on the differential mass conservation within an element of fixed and expanded-bed columns. The second approach employs a model by applying a mass balance concept to a control volume of the fluidized-bed column. The differential mass balance method segments the column into well-mixed stages, with the fluid flowing axially in an ideal plug flow regime. The solute diffusion inside the porous particles is modeled using Fick's second law of diffusion. Modeling parameters like the effective diffusivity and equilibrium concentration were estimated using the batch extraction experiments. These models were developed and validated using experimental column data involving the extraction of potassium bicarbonate from polyamide 6 pellets with distilled water as the solvent. The modeling results show a good agreement with experimental data.

Keywords

Mathematical model
Solid-liquid extraction
Fixed-bed
Expanded-bed
Fluidized-bed

Subjects

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Iranian Journal of Chemical Engineering (IJChE)
Volume 21, Issue 2
Spring 2024
Pages 56-73

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