Heat transfer of generalized second grade fluid with MHD, radiation and exponential heating using Caputo–Fabrizio fractional derivatives approach
Abstract The aim of the present work is to apply the Caputo–Fabrizio fractional derivative to the heat transformation of unsteady incompressible second grade fluid. The effects of magneto hydro dynamic and radiation are analyzed. In governing equation of heat transfer nonlinear radiative heat is exa...
| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
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Nature Portfolio
2023-03-01
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| Series: | Scientific Reports |
| Online Access: | https://doi.org/10.1038/s41598-022-22665-4 |
| _version_ | 1797853858784870400 |
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| author | Sehra Sehra Afshan Noor Sami Ul Haq Saeed Ullah Jan Ilyas Khan Abdullah Mohamed |
| author_facet | Sehra Sehra Afshan Noor Sami Ul Haq Saeed Ullah Jan Ilyas Khan Abdullah Mohamed |
| author_sort | Sehra Sehra |
| collection | DOAJ |
| description | Abstract The aim of the present work is to apply the Caputo–Fabrizio fractional derivative to the heat transformation of unsteady incompressible second grade fluid. The effects of magneto hydro dynamic and radiation are analyzed. In governing equation of heat transfer nonlinear radiative heat is examined. Exponential heating phenomena is considered at boundary. Firstly, the dimensional governing equations with the initial & boundary conditions are converted into non-dimensional form. Exact analytical solutions are obtained for dimensionless fractional governing equations which consist of momentum and energy equations by using Laplace transform method. Special cases are investigated of the obtained solutions and it is noticed that some well-known results are achieved published in literature from these special cases. At the end, for graphical illustration the influences of different physical parameters like radiation, Prandtl, fractional parameter, Grashof numbers and Magneto hydro dynamic are checked graphically. |
| first_indexed | 2024-04-09T19:57:34Z |
| format | Article |
| id | doaj.art-807e355231de4d8f8e3cdec9af8e6e2a |
| institution | Directory Open Access Journal |
| issn | 2045-2322 |
| language | English |
| last_indexed | 2024-04-09T19:57:34Z |
| publishDate | 2023-03-01 |
| publisher | Nature Portfolio |
| record_format | Article |
| series | Scientific Reports |
| spelling | doaj.art-807e355231de4d8f8e3cdec9af8e6e2a2023-04-03T05:23:35ZengNature PortfolioScientific Reports2045-23222023-03-0113111310.1038/s41598-022-22665-4Heat transfer of generalized second grade fluid with MHD, radiation and exponential heating using Caputo–Fabrizio fractional derivatives approachSehra Sehra0Afshan Noor1Sami Ul Haq2Saeed Ullah Jan3Ilyas Khan4Abdullah Mohamed5Shaheed Benazir Bhutto Women University PeshawarShaheed Benazir Bhutto Women University PeshawarDepartment of Mathematics, Islamia College PeshawarDepartment of Mathematics, Islamia College PeshawarDepartment of Mathematics, College of Science Al-Zulfi, Majmaah UniversityResearch Centre, Future University in EgyptAbstract The aim of the present work is to apply the Caputo–Fabrizio fractional derivative to the heat transformation of unsteady incompressible second grade fluid. The effects of magneto hydro dynamic and radiation are analyzed. In governing equation of heat transfer nonlinear radiative heat is examined. Exponential heating phenomena is considered at boundary. Firstly, the dimensional governing equations with the initial & boundary conditions are converted into non-dimensional form. Exact analytical solutions are obtained for dimensionless fractional governing equations which consist of momentum and energy equations by using Laplace transform method. Special cases are investigated of the obtained solutions and it is noticed that some well-known results are achieved published in literature from these special cases. At the end, for graphical illustration the influences of different physical parameters like radiation, Prandtl, fractional parameter, Grashof numbers and Magneto hydro dynamic are checked graphically.https://doi.org/10.1038/s41598-022-22665-4 |
| spellingShingle | Sehra Sehra Afshan Noor Sami Ul Haq Saeed Ullah Jan Ilyas Khan Abdullah Mohamed Heat transfer of generalized second grade fluid with MHD, radiation and exponential heating using Caputo–Fabrizio fractional derivatives approach Scientific Reports |
| title | Heat transfer of generalized second grade fluid with MHD, radiation and exponential heating using Caputo–Fabrizio fractional derivatives approach |
| title_full | Heat transfer of generalized second grade fluid with MHD, radiation and exponential heating using Caputo–Fabrizio fractional derivatives approach |
| title_fullStr | Heat transfer of generalized second grade fluid with MHD, radiation and exponential heating using Caputo–Fabrizio fractional derivatives approach |
| title_full_unstemmed | Heat transfer of generalized second grade fluid with MHD, radiation and exponential heating using Caputo–Fabrizio fractional derivatives approach |
| title_short | Heat transfer of generalized second grade fluid with MHD, radiation and exponential heating using Caputo–Fabrizio fractional derivatives approach |
| title_sort | heat transfer of generalized second grade fluid with mhd radiation and exponential heating using caputo fabrizio fractional derivatives approach |
| url | https://doi.org/10.1038/s41598-022-22665-4 |
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