Theoretical Analysis of Mass Transfer Behavior in Fixed-Bed Electrochemical Reactors: Akbari-Ganji’s Method
The theoretical model for a packed porous catalytic particle of the slab, cylindrical, and spherical geometries shape in fixed-bed electrochemical reactors is discussed. These particles have internal mass concentration and temperature gradients in endothermic or exothermic reactions. The model is ba...
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2022-10-01
|
| Series: | Electrochem |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2673-3293/3/4/46 |
| _version_ | 1797460201221128192 |
|---|---|
| author | Ponraj Jeyabarathi Lakshmanan Rajendran Michael E. G. Lyons Marwan Abukhaled |
| author_facet | Ponraj Jeyabarathi Lakshmanan Rajendran Michael E. G. Lyons Marwan Abukhaled |
| author_sort | Ponraj Jeyabarathi |
| collection | DOAJ |
| description | The theoretical model for a packed porous catalytic particle of the slab, cylindrical, and spherical geometries shape in fixed-bed electrochemical reactors is discussed. These particles have internal mass concentration and temperature gradients in endothermic or exothermic reactions. The model is based on a nonlinear reaction–diffusion equation containing a nonlinear term with an exponential relationship between intrinsic reaction rate and temperature. The porous catalyst particle’s concentration is obtained by solving the nonlinear equation using Akbari-Ganji’s method. A simple and closed-form analytical expression of the effectiveness factor for slab, cylindrical, and spherical geometries was also reported for all values of Thiele modulus, activation energy, and heat reaction. The accordance with results of a reliable numerical method shows the good accuracy that their approximate solution yields. |
| first_indexed | 2024-03-09T17:01:48Z |
| format | Article |
| id | doaj.art-a94002d622d24b0995a84f2d85705ec7 |
| institution | Directory Open Access Journal |
| issn | 2673-3293 |
| language | English |
| last_indexed | 2024-03-09T17:01:48Z |
| publishDate | 2022-10-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Electrochem |
| spelling | doaj.art-a94002d622d24b0995a84f2d85705ec72023-11-24T14:29:16ZengMDPI AGElectrochem2673-32932022-10-013469971210.3390/electrochem3040046Theoretical Analysis of Mass Transfer Behavior in Fixed-Bed Electrochemical Reactors: Akbari-Ganji’s MethodPonraj Jeyabarathi0Lakshmanan Rajendran1Michael E. G. Lyons2Marwan Abukhaled3Department of Mathematics, Government Arts College, Ariyalur 621713, Tamil Nadu, IndiaDepartment of Mathematics, AMET, Deemed to Be University, Chennai 603112, Tamil Nadu, IndiaSchool of Chemistry and AMBER National Centre, University of Dublin, Trinity College Dublin, D08 TWY8 Dublin, IrelandDepartment of Mathematics and Statistics, American University of Sharjah, Sharjah 26666, United Arab EmiratesThe theoretical model for a packed porous catalytic particle of the slab, cylindrical, and spherical geometries shape in fixed-bed electrochemical reactors is discussed. These particles have internal mass concentration and temperature gradients in endothermic or exothermic reactions. The model is based on a nonlinear reaction–diffusion equation containing a nonlinear term with an exponential relationship between intrinsic reaction rate and temperature. The porous catalyst particle’s concentration is obtained by solving the nonlinear equation using Akbari-Ganji’s method. A simple and closed-form analytical expression of the effectiveness factor for slab, cylindrical, and spherical geometries was also reported for all values of Thiele modulus, activation energy, and heat reaction. The accordance with results of a reliable numerical method shows the good accuracy that their approximate solution yields.https://www.mdpi.com/2673-3293/3/4/46mathematical modellingreaction–diffusion equationcatalyst pelletsAkbari-Ganji’s methodelectrochemical fixed-bed reactors |
| spellingShingle | Ponraj Jeyabarathi Lakshmanan Rajendran Michael E. G. Lyons Marwan Abukhaled Theoretical Analysis of Mass Transfer Behavior in Fixed-Bed Electrochemical Reactors: Akbari-Ganji’s Method Electrochem mathematical modelling reaction–diffusion equation catalyst pellets Akbari-Ganji’s method electrochemical fixed-bed reactors |
| title | Theoretical Analysis of Mass Transfer Behavior in Fixed-Bed Electrochemical Reactors: Akbari-Ganji’s Method |
| title_full | Theoretical Analysis of Mass Transfer Behavior in Fixed-Bed Electrochemical Reactors: Akbari-Ganji’s Method |
| title_fullStr | Theoretical Analysis of Mass Transfer Behavior in Fixed-Bed Electrochemical Reactors: Akbari-Ganji’s Method |
| title_full_unstemmed | Theoretical Analysis of Mass Transfer Behavior in Fixed-Bed Electrochemical Reactors: Akbari-Ganji’s Method |
| title_short | Theoretical Analysis of Mass Transfer Behavior in Fixed-Bed Electrochemical Reactors: Akbari-Ganji’s Method |
| title_sort | theoretical analysis of mass transfer behavior in fixed bed electrochemical reactors akbari ganji s method |
| topic | mathematical modelling reaction–diffusion equation catalyst pellets Akbari-Ganji’s method electrochemical fixed-bed reactors |
| url | https://www.mdpi.com/2673-3293/3/4/46 |
| work_keys_str_mv | AT ponrajjeyabarathi theoreticalanalysisofmasstransferbehaviorinfixedbedelectrochemicalreactorsakbariganjismethod AT lakshmananrajendran theoreticalanalysisofmasstransferbehaviorinfixedbedelectrochemicalreactorsakbariganjismethod AT michaeleglyons theoreticalanalysisofmasstransferbehaviorinfixedbedelectrochemicalreactorsakbariganjismethod AT marwanabukhaled theoreticalanalysisofmasstransferbehaviorinfixedbedelectrochemicalreactorsakbariganjismethod |