Prabhakar fractional derivative model of sodium alginate (C6H9NaO7) for accelerated plate motions
The Prabhakar fractional derivative model is not studied in the open literature for the Casson fluid model when the vertical plate exhibits linear and quadratic translations with constant heating. Therefore, this study deals with the thermal transport of sodium alginate (C6H9NaO7) over a vertical pl...
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| Format: | Article |
| Language: | English |
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Frontiers Media S.A.
2022-11-01
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| Series: | Frontiers in Energy Research |
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| Online Access: | https://www.frontiersin.org/articles/10.3389/fenrg.2022.1013829/full |
| _version_ | 1818470332916301824 |
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| author | Ilyas Khan |
| author_facet | Ilyas Khan |
| author_sort | Ilyas Khan |
| collection | DOAJ |
| description | The Prabhakar fractional derivative model is not studied in the open literature for the Casson fluid model when the vertical plate exhibits linear and quadratic translations with constant heating. Therefore, this study deals with the thermal transport of sodium alginate (C6H9NaO7) over a vertical plate with a constant temperature. Since the classical PDEs are incapable of analyzing and investigating the physical impact of flow variables with memory effects, a fractional derivative model is developed using the Prabhakar fractional derivative approach. Two different types of plate translations (linear and quadratic) are considered. The non-dimensional governing equations are transformed into a fractional model and solved using the Laplace transformation (L.T) technique. The effects and behavior of significant physical parameters and fractional order parameters are studied graphically and discussed. As a consequence, it is found that as fractional limitations are increased, the thermal and momentum profiles drop. In addition, the momentum profile in the case of quadratic translation (variable acceleration) shows a higher magnitude than the case of linear translation (constantly accelerated plate). |
| first_indexed | 2024-04-13T21:35:57Z |
| format | Article |
| id | doaj.art-377b0e917339437f870cb16b2d75ab43 |
| institution | Directory Open Access Journal |
| issn | 2296-598X |
| language | English |
| last_indexed | 2024-04-13T21:35:57Z |
| publishDate | 2022-11-01 |
| publisher | Frontiers Media S.A. |
| record_format | Article |
| series | Frontiers in Energy Research |
| spelling | doaj.art-377b0e917339437f870cb16b2d75ab432022-12-22T02:28:57ZengFrontiers Media S.A.Frontiers in Energy Research2296-598X2022-11-011010.3389/fenrg.2022.10138291013829Prabhakar fractional derivative model of sodium alginate (C6H9NaO7) for accelerated plate motionsIlyas KhanThe Prabhakar fractional derivative model is not studied in the open literature for the Casson fluid model when the vertical plate exhibits linear and quadratic translations with constant heating. Therefore, this study deals with the thermal transport of sodium alginate (C6H9NaO7) over a vertical plate with a constant temperature. Since the classical PDEs are incapable of analyzing and investigating the physical impact of flow variables with memory effects, a fractional derivative model is developed using the Prabhakar fractional derivative approach. Two different types of plate translations (linear and quadratic) are considered. The non-dimensional governing equations are transformed into a fractional model and solved using the Laplace transformation (L.T) technique. The effects and behavior of significant physical parameters and fractional order parameters are studied graphically and discussed. As a consequence, it is found that as fractional limitations are increased, the thermal and momentum profiles drop. In addition, the momentum profile in the case of quadratic translation (variable acceleration) shows a higher magnitude than the case of linear translation (constantly accelerated plate).https://www.frontiersin.org/articles/10.3389/fenrg.2022.1013829/fullPrabhakar fractional derivativeramped heatingsodium alginate (C6H9NaO7)accelerated flowsLaplace transformation |
| spellingShingle | Ilyas Khan Prabhakar fractional derivative model of sodium alginate (C6H9NaO7) for accelerated plate motions Frontiers in Energy Research Prabhakar fractional derivative ramped heating sodium alginate (C6H9NaO7) accelerated flows Laplace transformation |
| title | Prabhakar fractional derivative model of sodium alginate (C6H9NaO7) for accelerated plate motions |
| title_full | Prabhakar fractional derivative model of sodium alginate (C6H9NaO7) for accelerated plate motions |
| title_fullStr | Prabhakar fractional derivative model of sodium alginate (C6H9NaO7) for accelerated plate motions |
| title_full_unstemmed | Prabhakar fractional derivative model of sodium alginate (C6H9NaO7) for accelerated plate motions |
| title_short | Prabhakar fractional derivative model of sodium alginate (C6H9NaO7) for accelerated plate motions |
| title_sort | prabhakar fractional derivative model of sodium alginate c6h9nao7 for accelerated plate motions |
| topic | Prabhakar fractional derivative ramped heating sodium alginate (C6H9NaO7) accelerated flows Laplace transformation |
| url | https://www.frontiersin.org/articles/10.3389/fenrg.2022.1013829/full |
| work_keys_str_mv | AT ilyaskhan prabhakarfractionalderivativemodelofsodiumalginatec6h9nao7foracceleratedplatemotions |