Fractional order stagnation point flow of the hybrid nanofluid towards a stretching sheet
Abstract Fractional calculus characterizes a function at those points, where classical calculus failed. In the current study, we explored the fractional behavior of the stagnation point flow of hybrid nano liquid consisting of TiO2 and Ag nanoparticles across a stretching sheet. Silver Ag and Titani...
| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
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Nature Portfolio
2021-10-01
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| Series: | Scientific Reports |
| Online Access: | https://doi.org/10.1038/s41598-021-00004-3 |
| _version_ | 1818355775365447680 |
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| author | Anwar Saeed Muhammad Bilal Taza Gul Poom Kumam Amir Khan Muhammad Sohail |
| author_facet | Anwar Saeed Muhammad Bilal Taza Gul Poom Kumam Amir Khan Muhammad Sohail |
| author_sort | Anwar Saeed |
| collection | DOAJ |
| description | Abstract Fractional calculus characterizes a function at those points, where classical calculus failed. In the current study, we explored the fractional behavior of the stagnation point flow of hybrid nano liquid consisting of TiO2 and Ag nanoparticles across a stretching sheet. Silver Ag and Titanium dioxide TiO2 nanocomposites are one of the most significant and fascinating nanocomposites perform an important role in nanobiotechnology, especially in nanomedicine and for cancer cell therapy since these metal nanoparticles are thought to improve photocatalytic operation. The fluid movement over a stretching layer is subjected to electric and magnetic fields. The problem has been formulated in the form of the system of PDEs, which are reduced to the system of fractional-order ODEs by implementing the fractional similarity framework. The obtained fractional order differential equations are further solved via fractional code FDE-12 based on Caputo derivative. It has been perceived that the drifting velocity generated by the electric field E significantly improves the velocity and heat transition rate of blood. The fractional model is more generalized and applicable than the classical one. |
| first_indexed | 2024-12-13T19:46:41Z |
| format | Article |
| id | doaj.art-ea4baa105165476db99578102ccaac80 |
| institution | Directory Open Access Journal |
| issn | 2045-2322 |
| language | English |
| last_indexed | 2024-12-13T19:46:41Z |
| publishDate | 2021-10-01 |
| publisher | Nature Portfolio |
| record_format | Article |
| series | Scientific Reports |
| spelling | doaj.art-ea4baa105165476db99578102ccaac802022-12-21T23:33:33ZengNature PortfolioScientific Reports2045-23222021-10-0111111510.1038/s41598-021-00004-3Fractional order stagnation point flow of the hybrid nanofluid towards a stretching sheetAnwar Saeed0Muhammad Bilal1Taza Gul2Poom Kumam3Amir Khan4Muhammad Sohail5Faculty of Science, Center of Excellence in Theoretical and Computational Science (TaCS-CoE), King Mongkut’s University of Technology Thonburi (KMUTT)Department of Mathematics, City University of Science and Information TechnologyDepartment of Mathematics, City University of Science and Information TechnologyFaculty of Science, Center of Excellence in Theoretical and Computational Science (TaCS-CoE), King Mongkut’s University of Technology Thonburi (KMUTT)Department of Mathematics, Faculty of Science, King Mongkut’s University of Technology, Thonburi (KMUTT)Department of Applied Mathematics and Statistics, Institute of Space TechnologyAbstract Fractional calculus characterizes a function at those points, where classical calculus failed. In the current study, we explored the fractional behavior of the stagnation point flow of hybrid nano liquid consisting of TiO2 and Ag nanoparticles across a stretching sheet. Silver Ag and Titanium dioxide TiO2 nanocomposites are one of the most significant and fascinating nanocomposites perform an important role in nanobiotechnology, especially in nanomedicine and for cancer cell therapy since these metal nanoparticles are thought to improve photocatalytic operation. The fluid movement over a stretching layer is subjected to electric and magnetic fields. The problem has been formulated in the form of the system of PDEs, which are reduced to the system of fractional-order ODEs by implementing the fractional similarity framework. The obtained fractional order differential equations are further solved via fractional code FDE-12 based on Caputo derivative. It has been perceived that the drifting velocity generated by the electric field E significantly improves the velocity and heat transition rate of blood. The fractional model is more generalized and applicable than the classical one.https://doi.org/10.1038/s41598-021-00004-3 |
| spellingShingle | Anwar Saeed Muhammad Bilal Taza Gul Poom Kumam Amir Khan Muhammad Sohail Fractional order stagnation point flow of the hybrid nanofluid towards a stretching sheet Scientific Reports |
| title | Fractional order stagnation point flow of the hybrid nanofluid towards a stretching sheet |
| title_full | Fractional order stagnation point flow of the hybrid nanofluid towards a stretching sheet |
| title_fullStr | Fractional order stagnation point flow of the hybrid nanofluid towards a stretching sheet |
| title_full_unstemmed | Fractional order stagnation point flow of the hybrid nanofluid towards a stretching sheet |
| title_short | Fractional order stagnation point flow of the hybrid nanofluid towards a stretching sheet |
| title_sort | fractional order stagnation point flow of the hybrid nanofluid towards a stretching sheet |
| url | https://doi.org/10.1038/s41598-021-00004-3 |
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