RETRACTED ARTICLE: Quadratic multiple regression model and spectral relaxation approach for carreau nanofluid inclined magnetized dipole along stagnation point geometry
Abstract Researchers across the world have tried to explore the impact of non-Newtonian liquid flowing via an extendable surface with the inclusion of various effects due to its industrial and engineering applications like polymer production, paper production, filament extrusion from a dye, etc. Thi...
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Nature Portfolio
2022-10-01
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| Series: | Scientific Reports |
| Online Access: | https://doi.org/10.1038/s41598-022-22308-8 |
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| author | Sayed M. El Din Adil Darvesh Assad Ayub Tanveer Sajid Wasim Jamshed Mohamed R. Eid Syed M. Hussain Manuel Sánchez-Chero Sheda Méndez Ancca Johana Milagritos Ramírez Cerna Carmen Luisa Aquije Dapozzo |
| author_facet | Sayed M. El Din Adil Darvesh Assad Ayub Tanveer Sajid Wasim Jamshed Mohamed R. Eid Syed M. Hussain Manuel Sánchez-Chero Sheda Méndez Ancca Johana Milagritos Ramírez Cerna Carmen Luisa Aquije Dapozzo |
| author_sort | Sayed M. El Din |
| collection | DOAJ |
| description | Abstract Researchers across the world have tried to explore the impact of non-Newtonian liquid flowing via an extendable surface with the inclusion of various effects due to its industrial and engineering applications like polymer production, paper production, filament extrusion from a dye, etc. This study investigates the behavior of stagnation point flow of Carreau liquid attached with inclined magnetic effect and spectral relaxation approach is utilized here for the numerical outcome. In this study, a few other vital features are attached like the quadratic multiple regression model for Nusselt number evaluation, passive control of nanoparticles, viscus heating thermophoresis, Brownian motion, and mixed convection, etc. Velocity disbursement visibility is analyzed by placing an inclined magnetic field. Physical model generates collection of partial differential equations (PDEs) and these PDEs are moved into ordinary differential equations by a similarity transformations scheme. Further for numerical process, spectral relaxation method is used. Growth in K causes a reduction in velocity because this parameter K creates the impedance to flowing resulting in confines the movement of liquid in restricted the plate. Direct relation is found between $$Ec$$ Ec and the energy file. In the case of S > 1, physically it is a representation of Joule and viscous dissipations. This article is novel in its sense that the influence of oblique magnetic force and second order velocity slippage on Carreau nano liquid and its numerical computation with help of the spectral relaxation method has never been done before. Furthermore, the quadratic multiple regression model has been employed to find the heat transition rate in the status of the Nusselt number. |
| format | Article |
| id | doaj-art-71e3f0e56bee40da98f3e1dd00be43fe |
| institution | Kabale University |
| issn | 2045-2322 |
| language | English |
| publishDate | 2022-10-01 |
| publisher | Nature Portfolio |
| record_format | Article |
| series | Scientific Reports |
| spelling | doaj-art-71e3f0e56bee40da98f3e1dd00be43fe2025-01-12T12:25:23ZengNature PortfolioScientific Reports2045-23222022-10-0112111810.1038/s41598-022-22308-8RETRACTED ARTICLE: Quadratic multiple regression model and spectral relaxation approach for carreau nanofluid inclined magnetized dipole along stagnation point geometrySayed M. El Din0Adil Darvesh1Assad Ayub2Tanveer Sajid3Wasim Jamshed4Mohamed R. Eid5Syed M. Hussain6Manuel Sánchez-Chero7Sheda Méndez Ancca8Johana Milagritos Ramírez Cerna9Carmen Luisa Aquije Dapozzo10Center of Research, Faculty of Engineering, Future University in EgyptDepartment of Mathematics, Hazara University MansehraDepartment of Mathematics, Hazara University MansehraDepartment of Mathematics, Capital University of Science and TechnologyDepartment of Mathematics, Capital University of Science and TechnologyDepartment of Mathematics, Faculty of Science, New Valley UniversityDepartment of Mathematics, Faculty of Science, Islamic University of MadinahUniversidad Nacional de FronteraUniversidad Nacional de MoqueguaUniversidad Alas PeruanasUniversidad Nacional Tecnológica de Lima SurAbstract Researchers across the world have tried to explore the impact of non-Newtonian liquid flowing via an extendable surface with the inclusion of various effects due to its industrial and engineering applications like polymer production, paper production, filament extrusion from a dye, etc. This study investigates the behavior of stagnation point flow of Carreau liquid attached with inclined magnetic effect and spectral relaxation approach is utilized here for the numerical outcome. In this study, a few other vital features are attached like the quadratic multiple regression model for Nusselt number evaluation, passive control of nanoparticles, viscus heating thermophoresis, Brownian motion, and mixed convection, etc. Velocity disbursement visibility is analyzed by placing an inclined magnetic field. Physical model generates collection of partial differential equations (PDEs) and these PDEs are moved into ordinary differential equations by a similarity transformations scheme. Further for numerical process, spectral relaxation method is used. Growth in K causes a reduction in velocity because this parameter K creates the impedance to flowing resulting in confines the movement of liquid in restricted the plate. Direct relation is found between $$Ec$$ Ec and the energy file. In the case of S > 1, physically it is a representation of Joule and viscous dissipations. This article is novel in its sense that the influence of oblique magnetic force and second order velocity slippage on Carreau nano liquid and its numerical computation with help of the spectral relaxation method has never been done before. Furthermore, the quadratic multiple regression model has been employed to find the heat transition rate in the status of the Nusselt number.https://doi.org/10.1038/s41598-022-22308-8 |
| spellingShingle | Sayed M. El Din Adil Darvesh Assad Ayub Tanveer Sajid Wasim Jamshed Mohamed R. Eid Syed M. Hussain Manuel Sánchez-Chero Sheda Méndez Ancca Johana Milagritos Ramírez Cerna Carmen Luisa Aquije Dapozzo RETRACTED ARTICLE: Quadratic multiple regression model and spectral relaxation approach for carreau nanofluid inclined magnetized dipole along stagnation point geometry Scientific Reports |
| title | RETRACTED ARTICLE: Quadratic multiple regression model and spectral relaxation approach for carreau nanofluid inclined magnetized dipole along stagnation point geometry |
| title_full | RETRACTED ARTICLE: Quadratic multiple regression model and spectral relaxation approach for carreau nanofluid inclined magnetized dipole along stagnation point geometry |
| title_fullStr | RETRACTED ARTICLE: Quadratic multiple regression model and spectral relaxation approach for carreau nanofluid inclined magnetized dipole along stagnation point geometry |
| title_full_unstemmed | RETRACTED ARTICLE: Quadratic multiple regression model and spectral relaxation approach for carreau nanofluid inclined magnetized dipole along stagnation point geometry |
| title_short | RETRACTED ARTICLE: Quadratic multiple regression model and spectral relaxation approach for carreau nanofluid inclined magnetized dipole along stagnation point geometry |
| title_sort | retracted article quadratic multiple regression model and spectral relaxation approach for carreau nanofluid inclined magnetized dipole along stagnation point geometry |
| url | https://doi.org/10.1038/s41598-022-22308-8 |
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