Analyzing radiative heat on third-grade fluids over an expanding inclined sheet subject to higher-order chemical reaction: An overlapping grid spectral quasilinearization approach
Higher-order chemical reactions significantly enhance the concentration of the fluid indicating its vital role in processes involving radiative species. Therefore, the observation shows its important practical applications in industrial processes such as polymer extrusion, in which heat transfer pro...
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| 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/S2666818125000269 |
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| author | Titilayo M Agbaje Folarin Oluwaseun S.R. Mishra Rupa Baithalu Subhajit Panda |
| author_facet | Titilayo M Agbaje Folarin Oluwaseun S.R. Mishra Rupa Baithalu Subhajit Panda |
| author_sort | Titilayo M Agbaje |
| collection | DOAJ |
| description | Higher-order chemical reactions significantly enhance the concentration of the fluid indicating its vital role in processes involving radiative species. Therefore, the observation shows its important practical applications in industrial processes such as polymer extrusion, in which heat transfer properties are useful in the production of quality products. The proposed study emphases on the free convection of a third-grade fluid via an inclined expanding sheet for the influence of radiative heat and higher-order chemical reactions. However, the analysis incorporates the influence of viscous dissipation that is significant in determining the thermal behavior of the fluid. Further, the proposed flow phenomena governed by the set of partial differential equations are transformed into ordinary ones by the operating of suitable similarity rules. The transformed equations equipped with characterizing parameters are handled by a numerical technique known as the over lapping grid spectral quasilinearization method. The quantitative behavior of the factors intricate in it is deployed graphically and described briefly. However, the important outcomes of the study are; Richardson number is useful in enhancing the fluid momentum whereas the impact is reversed for the temperature and concentration distribution. Further, increasing heavier species i.e., Schmidt number attenuates the concentration profile. |
| format | Article |
| id | doaj-art-ed362fba70da48e5af31731dfaa4f908 |
| 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-ed362fba70da48e5af31731dfaa4f9082025-02-08T05:01:26ZengElsevierPartial Differential Equations in Applied Mathematics2666-81812025-03-0113101098Analyzing radiative heat on third-grade fluids over an expanding inclined sheet subject to higher-order chemical reaction: An overlapping grid spectral quasilinearization approachTitilayo M Agbaje0Folarin Oluwaseun1S.R. Mishra2Rupa Baithalu3Subhajit Panda4School of Computer Science and Applied Mathematics, University of the Witwatersrand, Johannesburg, Private Bag 3, Braamfontein, 2050, South AfricaSchool of Mathematics, Statistics, and Computer Science, University of the KwaZulu-Natal, Private Bag X01, Scottsville, Pietermaritzburg 3209, South AfricaDepartment of Mathematics, Siksha ‘O’ Anusandhan Deemed to be University, Bhubaneswar, Odisha 751030, IndiaDepartment of Mathematics, Siksha ‘O’ Anusandhan Deemed to be University, Bhubaneswar, Odisha 751030, IndiaCentre for Data Science, Department of Computer Science and Engineering, Siksha ‘O’ Anusandhan Deemed to be University, Bhubaneswar, Odisha 751030, India; Corresponding author.Higher-order chemical reactions significantly enhance the concentration of the fluid indicating its vital role in processes involving radiative species. Therefore, the observation shows its important practical applications in industrial processes such as polymer extrusion, in which heat transfer properties are useful in the production of quality products. The proposed study emphases on the free convection of a third-grade fluid via an inclined expanding sheet for the influence of radiative heat and higher-order chemical reactions. However, the analysis incorporates the influence of viscous dissipation that is significant in determining the thermal behavior of the fluid. Further, the proposed flow phenomena governed by the set of partial differential equations are transformed into ordinary ones by the operating of suitable similarity rules. The transformed equations equipped with characterizing parameters are handled by a numerical technique known as the over lapping grid spectral quasilinearization method. The quantitative behavior of the factors intricate in it is deployed graphically and described briefly. However, the important outcomes of the study are; Richardson number is useful in enhancing the fluid momentum whereas the impact is reversed for the temperature and concentration distribution. Further, increasing heavier species i.e., Schmidt number attenuates the concentration profile.http://www.sciencedirect.com/science/article/pii/S2666818125000269Third-Grade fluidFree convectionRadiative heatViscous dissipationHigher-order chemical reactionOver lapping grid spectral quasilinearization method |
| spellingShingle | Titilayo M Agbaje Folarin Oluwaseun S.R. Mishra Rupa Baithalu Subhajit Panda Analyzing radiative heat on third-grade fluids over an expanding inclined sheet subject to higher-order chemical reaction: An overlapping grid spectral quasilinearization approach Partial Differential Equations in Applied Mathematics Third-Grade fluid Free convection Radiative heat Viscous dissipation Higher-order chemical reaction Over lapping grid spectral quasilinearization method |
| title | Analyzing radiative heat on third-grade fluids over an expanding inclined sheet subject to higher-order chemical reaction: An overlapping grid spectral quasilinearization approach |
| title_full | Analyzing radiative heat on third-grade fluids over an expanding inclined sheet subject to higher-order chemical reaction: An overlapping grid spectral quasilinearization approach |
| title_fullStr | Analyzing radiative heat on third-grade fluids over an expanding inclined sheet subject to higher-order chemical reaction: An overlapping grid spectral quasilinearization approach |
| title_full_unstemmed | Analyzing radiative heat on third-grade fluids over an expanding inclined sheet subject to higher-order chemical reaction: An overlapping grid spectral quasilinearization approach |
| title_short | Analyzing radiative heat on third-grade fluids over an expanding inclined sheet subject to higher-order chemical reaction: An overlapping grid spectral quasilinearization approach |
| title_sort | analyzing radiative heat on third grade fluids over an expanding inclined sheet subject to higher order chemical reaction an overlapping grid spectral quasilinearization approach |
| topic | Third-Grade fluid Free convection Radiative heat Viscous dissipation Higher-order chemical reaction Over lapping grid spectral quasilinearization method |
| url | http://www.sciencedirect.com/science/article/pii/S2666818125000269 |
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