Heat and mass flux analysis of magneto-free-convection flow of Oldroyd-B fluid through porous layered inclined plate
Abstract The present work examines the analytical solutions of the double duffusive magneto free convective flow of Oldroyd-B fluid model of an inclined plate saturated in a porous media, either fixed or moving oscillated with existence of slanted externally magnetic field. The phenomenon has been e...
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| Format: | Article |
| Language: | English |
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Nature Portfolio
2023-01-01
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| Series: | Scientific Reports |
| Online Access: | https://doi.org/10.1038/s41598-022-27265-w |
| _version_ | 1797952541256843264 |
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| author | Muhammad Bilal Riaz Aziz Ur Rehman Adam Wojciechowski Abdon Atangana |
| author_facet | Muhammad Bilal Riaz Aziz Ur Rehman Adam Wojciechowski Abdon Atangana |
| author_sort | Muhammad Bilal Riaz |
| collection | DOAJ |
| description | Abstract The present work examines the analytical solutions of the double duffusive magneto free convective flow of Oldroyd-B fluid model of an inclined plate saturated in a porous media, either fixed or moving oscillated with existence of slanted externally magnetic field. The phenomenon has been expressed in terms of partial differential equations, then transformed the governing equations in non-dimensional form. On the fluid velocity, the influence of different angles that plate make with vertical is studied as well as slanted angles of the electro magnetic lines with the porous layered inclined plate are also discussed, associated with thermal conductivity and constant concentration. For seeking exact solutions in terms of special functions namely Mittag–Leffler functions, G-function etc., for Oldroyd-B fluid velocity, concentration and Oldroyd-B fluid temperature, Laplace integral transformation method is used to solve the non-dimensional model. The contribution of different velocity components are considered as thermal, mass and mechanical, and analyse the impacts of these components on the fluid dynamics. For several physical significance of various fluidic parameters on Oldroyd-B fluid velocity, concentration and Oldroyd-B fluid temperature distributions are demonstrated through various graphs. Furthermore, for being validated the acquired solutions, some limiting models such as Newtonian fluid in the absence of different fluidic parameters. Moreover, the graphical representations of the analytical solutions illustrated the main results of the present work and studied various cases regarding the movement of plate. |
| first_indexed | 2024-04-10T22:48:01Z |
| format | Article |
| id | doaj.art-415ce850428c49699f107b2e4dac31b1 |
| institution | Directory Open Access Journal |
| issn | 2045-2322 |
| language | English |
| last_indexed | 2024-04-10T22:48:01Z |
| publishDate | 2023-01-01 |
| publisher | Nature Portfolio |
| record_format | Article |
| series | Scientific Reports |
| spelling | doaj.art-415ce850428c49699f107b2e4dac31b12023-01-15T12:10:21ZengNature PortfolioScientific Reports2045-23222023-01-0113111510.1038/s41598-022-27265-wHeat and mass flux analysis of magneto-free-convection flow of Oldroyd-B fluid through porous layered inclined plateMuhammad Bilal Riaz0Aziz Ur Rehman1Adam Wojciechowski2Abdon Atangana3Department of Mathematics, University of Management and TechnologyDepartment of Mathematics, University of Management and TechnologyFaculty of Technical Physics, Information Technology and Applied Mathematics, Lodz University of TechnologyInstitute for Groundwater Studies (IGS), University of the Free StateAbstract The present work examines the analytical solutions of the double duffusive magneto free convective flow of Oldroyd-B fluid model of an inclined plate saturated in a porous media, either fixed or moving oscillated with existence of slanted externally magnetic field. The phenomenon has been expressed in terms of partial differential equations, then transformed the governing equations in non-dimensional form. On the fluid velocity, the influence of different angles that plate make with vertical is studied as well as slanted angles of the electro magnetic lines with the porous layered inclined plate are also discussed, associated with thermal conductivity and constant concentration. For seeking exact solutions in terms of special functions namely Mittag–Leffler functions, G-function etc., for Oldroyd-B fluid velocity, concentration and Oldroyd-B fluid temperature, Laplace integral transformation method is used to solve the non-dimensional model. The contribution of different velocity components are considered as thermal, mass and mechanical, and analyse the impacts of these components on the fluid dynamics. For several physical significance of various fluidic parameters on Oldroyd-B fluid velocity, concentration and Oldroyd-B fluid temperature distributions are demonstrated through various graphs. Furthermore, for being validated the acquired solutions, some limiting models such as Newtonian fluid in the absence of different fluidic parameters. Moreover, the graphical representations of the analytical solutions illustrated the main results of the present work and studied various cases regarding the movement of plate.https://doi.org/10.1038/s41598-022-27265-w |
| spellingShingle | Muhammad Bilal Riaz Aziz Ur Rehman Adam Wojciechowski Abdon Atangana Heat and mass flux analysis of magneto-free-convection flow of Oldroyd-B fluid through porous layered inclined plate Scientific Reports |
| title | Heat and mass flux analysis of magneto-free-convection flow of Oldroyd-B fluid through porous layered inclined plate |
| title_full | Heat and mass flux analysis of magneto-free-convection flow of Oldroyd-B fluid through porous layered inclined plate |
| title_fullStr | Heat and mass flux analysis of magneto-free-convection flow of Oldroyd-B fluid through porous layered inclined plate |
| title_full_unstemmed | Heat and mass flux analysis of magneto-free-convection flow of Oldroyd-B fluid through porous layered inclined plate |
| title_short | Heat and mass flux analysis of magneto-free-convection flow of Oldroyd-B fluid through porous layered inclined plate |
| title_sort | heat and mass flux analysis of magneto free convection flow of oldroyd b fluid through porous layered inclined plate |
| url | https://doi.org/10.1038/s41598-022-27265-w |
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