A Comparative Study of Natural Convection Flow of Fractional Maxwell Fluid with Uniform Heat Flux and Radiation
This paper focuses on the comparative study of natural convection flow of fractional Maxwell fluid having uniform heat flux and radiation. The well-known Maxwell fluid equation with an integer-order derivative has been extended to a non-integer-order derivative, i.e., fractional derivative. The expl...
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| Main Authors: | , , , , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2021/9401655 |
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| author | Ruihua Tang Sadique Rehman Aamir Farooq Muhammad Kamran Muhammad Imran Qureshi Asfand Fahad Jia-Bao Liu |
| author_facet | Ruihua Tang Sadique Rehman Aamir Farooq Muhammad Kamran Muhammad Imran Qureshi Asfand Fahad Jia-Bao Liu |
| author_sort | Ruihua Tang |
| collection | DOAJ |
| description | This paper focuses on the comparative study of natural convection flow of fractional Maxwell fluid having uniform heat flux and radiation. The well-known Maxwell fluid equation with an integer-order derivative has been extended to a non-integer-order derivative, i.e., fractional derivative. The explicit expression for the temperature and velocity is acquired by utilizing the Laplace transform (LT) technique. The two fractional derivative concepts are used (Caputo and Caputo–Fabrizio derivatives) in the formulation of the problem. Utilizing the Mathcad programming, the effect of certain embedded factors and fractional parameters on temperature and velocity profile is graphically presented. |
| format | Article |
| id | doaj-art-c3d7d0c54a4f441ca6b179d7aaea2932 |
| institution | Kabale University |
| issn | 1076-2787 1099-0526 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-c3d7d0c54a4f441ca6b179d7aaea29322025-02-03T06:12:49ZengWileyComplexity1076-27871099-05262021-01-01202110.1155/2021/94016559401655A Comparative Study of Natural Convection Flow of Fractional Maxwell Fluid with Uniform Heat Flux and RadiationRuihua Tang0Sadique Rehman1Aamir Farooq2Muhammad Kamran3Muhammad Imran Qureshi4Asfand Fahad5Jia-Bao Liu6College of Electronic Engineering, Chaohu University, Hefei 238024, ChinaDepartment of Mathematics, Islamia College Peshawar, Peshawar 25000, PakistanDepartment of Mathematics, Abbottabad University of Science and Technology, Abbottabad, PakistanDepartment of Mathematics, COMSATS University Islamabad, Wah Campus, Wah Cantt 47040, PakistanDepartment of Mathematics, COMSATS University Islamabad, Vehari Campus, Vehari 61100, PakistanDepartment of Mathematics, COMSATS University Islamabad, Vehari Campus, Vehari 61100, PakistanSchool of Mathematics and Physics, Anhui Jianzhu University, Hefei 230601, ChinaThis paper focuses on the comparative study of natural convection flow of fractional Maxwell fluid having uniform heat flux and radiation. The well-known Maxwell fluid equation with an integer-order derivative has been extended to a non-integer-order derivative, i.e., fractional derivative. The explicit expression for the temperature and velocity is acquired by utilizing the Laplace transform (LT) technique. The two fractional derivative concepts are used (Caputo and Caputo–Fabrizio derivatives) in the formulation of the problem. Utilizing the Mathcad programming, the effect of certain embedded factors and fractional parameters on temperature and velocity profile is graphically presented.http://dx.doi.org/10.1155/2021/9401655 |
| spellingShingle | Ruihua Tang Sadique Rehman Aamir Farooq Muhammad Kamran Muhammad Imran Qureshi Asfand Fahad Jia-Bao Liu A Comparative Study of Natural Convection Flow of Fractional Maxwell Fluid with Uniform Heat Flux and Radiation Complexity |
| title | A Comparative Study of Natural Convection Flow of Fractional Maxwell Fluid with Uniform Heat Flux and Radiation |
| title_full | A Comparative Study of Natural Convection Flow of Fractional Maxwell Fluid with Uniform Heat Flux and Radiation |
| title_fullStr | A Comparative Study of Natural Convection Flow of Fractional Maxwell Fluid with Uniform Heat Flux and Radiation |
| title_full_unstemmed | A Comparative Study of Natural Convection Flow of Fractional Maxwell Fluid with Uniform Heat Flux and Radiation |
| title_short | A Comparative Study of Natural Convection Flow of Fractional Maxwell Fluid with Uniform Heat Flux and Radiation |
| title_sort | comparative study of natural convection flow of fractional maxwell fluid with uniform heat flux and radiation |
| url | http://dx.doi.org/10.1155/2021/9401655 |
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