Analyzing dead core formation in catalyst pellets of various geometries under non-isothermal conditions
This article presents a theoretical model for the formation of a dead core within catalyst pellets. The model investigates the nonlinear reaction-diffusion equations governing reactions within catalyst pellets, focusing on the spatial distribution and transformation of substances. To address the com...
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| Format: | Article |
| Language: | English |
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Elsevier
2025-03-01
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| Series: | Partial Differential Equations in Applied Mathematics |
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| Online Access: | http://www.sciencedirect.com/science/article/pii/S2666818125000208 |
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| author | M. Menaka R. Manimaran S. Saravanakumar L. Rajendran A. Eswari |
| author_facet | M. Menaka R. Manimaran S. Saravanakumar L. Rajendran A. Eswari |
| author_sort | M. Menaka |
| collection | DOAJ |
| description | This article presents a theoretical model for the formation of a dead core within catalyst pellets. The model investigates the nonlinear reaction-diffusion equations governing reactions within catalyst pellets, focusing on the spatial distribution and transformation of substances. To address the complexity of these equations, the Akbari-Ganji Method (AGM) is employed to obtain analytical solutions for reactant concentration, temperature, and effectiveness factor across various geometries. The analytical solutions are validated against numerical solutions obtained using MATLAB, demonstrating excellent agreement. Key findings include the precise characterization of dead core properties, supported by tables and figures. The exact result for limited cases like non-dead core and isothermal reaction conditions is also found, discussed, and confirmed with the main finding |
| format | Article |
| id | doaj-art-1a834362be464441a83b638d71bc8786 |
| institution | Kabale University |
| issn | 2666-8181 |
| language | English |
| publishDate | 2025-03-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Partial Differential Equations in Applied Mathematics |
| spelling | doaj-art-1a834362be464441a83b638d71bc87862025-01-26T05:05:09ZengElsevierPartial Differential Equations in Applied Mathematics2666-81812025-03-0113101092Analyzing dead core formation in catalyst pellets of various geometries under non-isothermal conditionsM. Menaka0R. Manimaran1S. Saravanakumar2L. Rajendran3A. Eswari4Department of Mathematics, SRM Institute of Science and Technology, Vadapalani Campus, Chennai, India; Department of Mathematics,Anna University Regional Campus, Madurai, Tamil Nadu, IndiaDepartment of Mathematics, SRM Institute of Science and Technology, Vadapalani Campus, Chennai, India; Department of Mathematics,Anna University Regional Campus, Madurai, Tamil Nadu, India; Corresponding author.Department of Science &Humanities, SRIT, Coimbatore, Tamil Nadu, IndiaDepartment of Mathematics, AMET university, Tamil Nadu, IndiaDepartment of PS&IT, AEC&RI, TNAU, Coimbatore, Tamil Nadu, India; Corresponding author.This article presents a theoretical model for the formation of a dead core within catalyst pellets. The model investigates the nonlinear reaction-diffusion equations governing reactions within catalyst pellets, focusing on the spatial distribution and transformation of substances. To address the complexity of these equations, the Akbari-Ganji Method (AGM) is employed to obtain analytical solutions for reactant concentration, temperature, and effectiveness factor across various geometries. The analytical solutions are validated against numerical solutions obtained using MATLAB, demonstrating excellent agreement. Key findings include the precise characterization of dead core properties, supported by tables and figures. The exact result for limited cases like non-dead core and isothermal reaction conditions is also found, discussed, and confirmed with the main findinghttp://www.sciencedirect.com/science/article/pii/S2666818125000208Reaction-diffusionAkbari-Ganji methodNumerical simulationCatalytic kineticsNon-isothermal reactionPorous pellet |
| spellingShingle | M. Menaka R. Manimaran S. Saravanakumar L. Rajendran A. Eswari Analyzing dead core formation in catalyst pellets of various geometries under non-isothermal conditions Partial Differential Equations in Applied Mathematics Reaction-diffusion Akbari-Ganji method Numerical simulation Catalytic kinetics Non-isothermal reaction Porous pellet |
| title | Analyzing dead core formation in catalyst pellets of various geometries under non-isothermal conditions |
| title_full | Analyzing dead core formation in catalyst pellets of various geometries under non-isothermal conditions |
| title_fullStr | Analyzing dead core formation in catalyst pellets of various geometries under non-isothermal conditions |
| title_full_unstemmed | Analyzing dead core formation in catalyst pellets of various geometries under non-isothermal conditions |
| title_short | Analyzing dead core formation in catalyst pellets of various geometries under non-isothermal conditions |
| title_sort | analyzing dead core formation in catalyst pellets of various geometries under non isothermal conditions |
| topic | Reaction-diffusion Akbari-Ganji method Numerical simulation Catalytic kinetics Non-isothermal reaction Porous pellet |
| url | http://www.sciencedirect.com/science/article/pii/S2666818125000208 |
| work_keys_str_mv | AT mmenaka analyzingdeadcoreformationincatalystpelletsofvariousgeometriesundernonisothermalconditions AT rmanimaran analyzingdeadcoreformationincatalystpelletsofvariousgeometriesundernonisothermalconditions AT ssaravanakumar analyzingdeadcoreformationincatalystpelletsofvariousgeometriesundernonisothermalconditions AT lrajendran analyzingdeadcoreformationincatalystpelletsofvariousgeometriesundernonisothermalconditions AT aeswari analyzingdeadcoreformationincatalystpelletsofvariousgeometriesundernonisothermalconditions |