New Exact Traveling Wave Solutions for Fractional Order System Describing the Second Grade Fluid through Medium with Heat Transfer
The aim of this paper is to determine the time-dependent MHD fractionalized three-dimensional flow of viscoelastic fluid in porous medium with heat transfer by traveling wave solution. The governing nonlinear partial differential equations are altered by utilizing the wave parameter ξ = lx + my + nz...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Shahid Chamran University of Ahvaz
2021-04-01
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| Series: | Journal of Applied and Computational Mechanics |
| Subjects: | |
| Online Access: | https://jacm.scu.ac.ir/article_16235_c0641f50be13b6efce52fc232ee0df28.pdf |
| _version_ | 1818457723367325696 |
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| author | Arsalan Ahmed K.K Poonam Munam Khalil Fatima Riaz Syed Mohammad Mohsnain |
| author_facet | Arsalan Ahmed K.K Poonam Munam Khalil Fatima Riaz Syed Mohammad Mohsnain |
| author_sort | Arsalan Ahmed |
| collection | DOAJ |
| description | The aim of this paper is to determine the time-dependent MHD fractionalized three-dimensional flow of viscoelastic fluid in porous medium with heat transfer by traveling wave solution. The governing nonlinear partial differential equations are altered by utilizing the wave parameter ξ = lx + my + nz + ωtβ/Γ(β+1) into ordinary differential equations. The exact solutions are attained by applying a traveling wave method for two different cases. Here we discuss some precise cases, the solution of MHD Newtonian fluid in porosity can be obtained by substituting α1 → 0 in general solution. The impact of important governing parameters on the movement of a fluid is examined as well as the comparison of Newtonian and non-viscous fluids have been made by 2D and 3D graphical analysis. |
| first_indexed | 2024-12-14T22:47:06Z |
| format | Article |
| id | doaj.art-628f242de2d444d8a51e7e91cbd28322 |
| institution | Directory Open Access Journal |
| issn | 2383-4536 2383-4536 |
| language | English |
| last_indexed | 2024-12-14T22:47:06Z |
| publishDate | 2021-04-01 |
| publisher | Shahid Chamran University of Ahvaz |
| record_format | Article |
| series | Journal of Applied and Computational Mechanics |
| spelling | doaj.art-628f242de2d444d8a51e7e91cbd283222022-12-21T22:44:49ZengShahid Chamran University of AhvazJournal of Applied and Computational Mechanics2383-45362383-45362021-04-017276478110.22055/jacm.2020.35115.256616235New Exact Traveling Wave Solutions for Fractional Order System Describing the Second Grade Fluid through Medium with Heat TransferArsalan Ahmed0K.K Poonam1Munam Khalil2Fatima Riaz3Syed Mohammad Mohsnain4NED University Engineering & Technology, Karachi-75270, PakistanDepartment of Science & Technology, Indus University Karachi-75270, PakistanDepartment of Science & Technology, Indus University Karachi-75270, PakistanInstitute of Business Management, Karachi-75270, PakistanNED University Engineering & Technology, Karachi-75270, PakistanThe aim of this paper is to determine the time-dependent MHD fractionalized three-dimensional flow of viscoelastic fluid in porous medium with heat transfer by traveling wave solution. The governing nonlinear partial differential equations are altered by utilizing the wave parameter ξ = lx + my + nz + ωtβ/Γ(β+1) into ordinary differential equations. The exact solutions are attained by applying a traveling wave method for two different cases. Here we discuss some precise cases, the solution of MHD Newtonian fluid in porosity can be obtained by substituting α1 → 0 in general solution. The impact of important governing parameters on the movement of a fluid is examined as well as the comparison of Newtonian and non-viscous fluids have been made by 2D and 3D graphical analysis.https://jacm.scu.ac.ir/article_16235_c0641f50be13b6efce52fc232ee0df28.pdfmagnetohydrodynamic (mhd)traveling wave methodsecond grade fluidvisco-elastic fluid2d and 3d graphs |
| spellingShingle | Arsalan Ahmed K.K Poonam Munam Khalil Fatima Riaz Syed Mohammad Mohsnain New Exact Traveling Wave Solutions for Fractional Order System Describing the Second Grade Fluid through Medium with Heat Transfer Journal of Applied and Computational Mechanics magnetohydrodynamic (mhd) traveling wave method second grade fluid visco-elastic fluid 2d and 3d graphs |
| title | New Exact Traveling Wave Solutions for Fractional Order System Describing the Second Grade Fluid through Medium with Heat Transfer |
| title_full | New Exact Traveling Wave Solutions for Fractional Order System Describing the Second Grade Fluid through Medium with Heat Transfer |
| title_fullStr | New Exact Traveling Wave Solutions for Fractional Order System Describing the Second Grade Fluid through Medium with Heat Transfer |
| title_full_unstemmed | New Exact Traveling Wave Solutions for Fractional Order System Describing the Second Grade Fluid through Medium with Heat Transfer |
| title_short | New Exact Traveling Wave Solutions for Fractional Order System Describing the Second Grade Fluid through Medium with Heat Transfer |
| title_sort | new exact traveling wave solutions for fractional order system describing the second grade fluid through medium with heat transfer |
| topic | magnetohydrodynamic (mhd) traveling wave method second grade fluid visco-elastic fluid 2d and 3d graphs |
| url | https://jacm.scu.ac.ir/article_16235_c0641f50be13b6efce52fc232ee0df28.pdf |
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