Traveling Wave Solutions of 3D Fractionalized MHD Newtonian Fluid in Porous Medium with Heat Transfer
In the present paper, we get exact solutions of Magnetohydrodynamic (MHD) of the fractionalized three-dimensional flow of Newtonian fluid with porous and heat transfer through the traveling wave parameter. The governing equations are produced dependent on established Navier-stokes equations which ca...
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| Format: | Article |
| Language: | English |
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Shahid Chamran University of Ahvaz
2020-10-01
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| Series: | Journal of Applied and Computational Mechanics |
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| Online Access: | http://jacm.scu.ac.ir/article_14757_5f8515d873b7790d2be428eeaae26b90.pdf |
| _version_ | 1828443285011562496 |
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| author | Muhammad Jamil Arsalan Ahmed |
| author_facet | Muhammad Jamil Arsalan Ahmed |
| author_sort | Muhammad Jamil |
| collection | DOAJ |
| description | In the present paper, we get exact solutions of Magnetohydrodynamic (MHD) of the fractionalized three-dimensional flow of Newtonian fluid with porous and heat transfer through the traveling wave parameter. The governing equations are produced dependent on established Navier-stokes equations which can be diminished to ordinary differential equation by wave parameter ξ=ax+by+nz+Ut<sup>α</sup>/Γ(α+1). The new exact solutions are established for three various cases. In special cases the solution for Newtonian fluid with and without MHD and porous effects can also be found from the general solution by putting M+Φ→0 and solutions for simple Newtonian fluid can also be obtained by putting α→1 in general solutions. Finally, the effect of the parameter of interest on the stream motion, as well as difference among the Newtonian fluids is examined by 2D and 3D graphical interpretations. |
| first_indexed | 2024-12-10T21:26:57Z |
| format | Article |
| id | doaj.art-ae13ac4acac146b889a650000f8daaa5 |
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| issn | 2383-4536 2383-4536 |
| language | English |
| last_indexed | 2024-12-10T21:26:57Z |
| publishDate | 2020-10-01 |
| publisher | Shahid Chamran University of Ahvaz |
| record_format | Article |
| series | Journal of Applied and Computational Mechanics |
| spelling | doaj.art-ae13ac4acac146b889a650000f8daaa52022-12-22T01:32:58ZengShahid Chamran University of AhvazJournal of Applied and Computational Mechanics2383-45362383-45362020-10-016496898410.22055/jacm.2019.30053.167314757Traveling Wave Solutions of 3D Fractionalized MHD Newtonian Fluid in Porous Medium with Heat TransferMuhammad Jamil0Arsalan Ahmed1Department of Mathematics, NED University of Engineering & Technology, Karachi-75270, PakistanDepartment of Mathematics, NED University of Engineering & Technology, Karachi-75270, PakistanIn the present paper, we get exact solutions of Magnetohydrodynamic (MHD) of the fractionalized three-dimensional flow of Newtonian fluid with porous and heat transfer through the traveling wave parameter. The governing equations are produced dependent on established Navier-stokes equations which can be diminished to ordinary differential equation by wave parameter ξ=ax+by+nz+Ut<sup>α</sup>/Γ(α+1). The new exact solutions are established for three various cases. In special cases the solution for Newtonian fluid with and without MHD and porous effects can also be found from the general solution by putting M+Φ→0 and solutions for simple Newtonian fluid can also be obtained by putting α→1 in general solutions. Finally, the effect of the parameter of interest on the stream motion, as well as difference among the Newtonian fluids is examined by 2D and 3D graphical interpretations.http://jacm.scu.ac.ir/article_14757_5f8515d873b7790d2be428eeaae26b90.pdf3d newtonian fluidmhdporousheat transferexact solutiontraveling wave2d & 3d graphs |
| spellingShingle | Muhammad Jamil Arsalan Ahmed Traveling Wave Solutions of 3D Fractionalized MHD Newtonian Fluid in Porous Medium with Heat Transfer Journal of Applied and Computational Mechanics 3d newtonian fluid mhd porous heat transfer exact solution traveling wave 2d & 3d graphs |
| title | Traveling Wave Solutions of 3D Fractionalized MHD Newtonian Fluid in Porous Medium with Heat Transfer |
| title_full | Traveling Wave Solutions of 3D Fractionalized MHD Newtonian Fluid in Porous Medium with Heat Transfer |
| title_fullStr | Traveling Wave Solutions of 3D Fractionalized MHD Newtonian Fluid in Porous Medium with Heat Transfer |
| title_full_unstemmed | Traveling Wave Solutions of 3D Fractionalized MHD Newtonian Fluid in Porous Medium with Heat Transfer |
| title_short | Traveling Wave Solutions of 3D Fractionalized MHD Newtonian Fluid in Porous Medium with Heat Transfer |
| title_sort | traveling wave solutions of 3d fractionalized mhd newtonian fluid in porous medium with heat transfer |
| topic | 3d newtonian fluid mhd porous heat transfer exact solution traveling wave 2d & 3d graphs |
| url | http://jacm.scu.ac.ir/article_14757_5f8515d873b7790d2be428eeaae26b90.pdf |
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