Mathematical Modeling of Mass Transfer during Solid-Liquid Extraction in Fixed, Expanded and Fluidized-Bed Columns
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...
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| Format: | Article |
| Language: | English |
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Iranian Association of Chemical Engineering (IAChE)
2024-04-01
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| Series: | Iranian Journal of Chemical Engineering |
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| Online Access: | https://www.ijche.com/article_196450_b1cf9c2fc2ced4b5d0bc9fb174f09e8f.pdf |
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| author | Maryam Seif Behrooz Abbasi Souraki Javad Sayyad Amin |
| author_facet | Maryam Seif Behrooz Abbasi Souraki Javad Sayyad Amin |
| author_sort | Maryam Seif |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-357d80cbd5b44db9b09f51c8467bb789 |
| institution | DOAJ |
| issn | 1735-5397 2008-2355 |
| language | English |
| publishDate | 2024-04-01 |
| publisher | Iranian Association of Chemical Engineering (IAChE) |
| record_format | Article |
| series | Iranian Journal of Chemical Engineering |
| spelling | doaj-art-357d80cbd5b44db9b09f51c8467bb7892025-08-20T03:13:38ZengIranian Association of Chemical Engineering (IAChE)Iranian Journal of Chemical Engineering1735-53972008-23552024-04-01212567310.22034/ijche.2024.450503.1527196450Mathematical Modeling of Mass Transfer during Solid-Liquid Extraction in Fixed, Expanded and Fluidized-Bed ColumnsMaryam Seif0Behrooz Abbasi Souraki1Javad Sayyad Amin2Chemical Engineering Department, Faculty of Engineering, University of Guilan, Rasht, IranChemical Engineering Department, Faculty of Engineering, University of Guilan, Rasht, IranChemical Engineering Department, Faculty of Engineering, University of Guilan, Rasht, IranIn 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.https://www.ijche.com/article_196450_b1cf9c2fc2ced4b5d0bc9fb174f09e8f.pdfmathematical modelsolid-liquid extractionfixed-bedexpanded-bedfluidized-bed |
| spellingShingle | Maryam Seif Behrooz Abbasi Souraki Javad Sayyad Amin Mathematical Modeling of Mass Transfer during Solid-Liquid Extraction in Fixed, Expanded and Fluidized-Bed Columns Iranian Journal of Chemical Engineering mathematical model solid-liquid extraction fixed-bed expanded-bed fluidized-bed |
| title | Mathematical Modeling of Mass Transfer during Solid-Liquid Extraction in Fixed, Expanded and Fluidized-Bed Columns |
| title_full | Mathematical Modeling of Mass Transfer during Solid-Liquid Extraction in Fixed, Expanded and Fluidized-Bed Columns |
| title_fullStr | Mathematical Modeling of Mass Transfer during Solid-Liquid Extraction in Fixed, Expanded and Fluidized-Bed Columns |
| title_full_unstemmed | Mathematical Modeling of Mass Transfer during Solid-Liquid Extraction in Fixed, Expanded and Fluidized-Bed Columns |
| title_short | Mathematical Modeling of Mass Transfer during Solid-Liquid Extraction in Fixed, Expanded and Fluidized-Bed Columns |
| title_sort | mathematical modeling of mass transfer during solid liquid extraction in fixed expanded and fluidized bed columns |
| topic | mathematical model solid-liquid extraction fixed-bed expanded-bed fluidized-bed |
| url | https://www.ijche.com/article_196450_b1cf9c2fc2ced4b5d0bc9fb174f09e8f.pdf |
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