Unsteady MHD Flow for Fractional Casson Channel Fluid in a Porous Medium: An Application of the Caputo-Fabrizio Time-Fractional Derivative
Theoretically, this work describes the exact solutions of fractional Casson fluid through a channel under the effect of MHD and porous medium. The unsteady fluid motion of the bottom plate, which is confined by parallel but perpendicular sidewalls, supports the flow. By introducing the dimensionless...
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| Format: | Article |
| Language: | English |
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Wiley
2022-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2022/2765924 |
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| author | Pongsakorn Sunthrayuth A. A. Alderremy Fazal Ghani Ayékotan M. J. Tchalla Shaban Aly Yasser Elmasry |
| author_facet | Pongsakorn Sunthrayuth A. A. Alderremy Fazal Ghani Ayékotan M. J. Tchalla Shaban Aly Yasser Elmasry |
| author_sort | Pongsakorn Sunthrayuth |
| collection | DOAJ |
| description | Theoretically, this work describes the exact solutions of fractional Casson fluid through a channel under the effect of MHD and porous medium. The unsteady fluid motion of the bottom plate, which is confined by parallel but perpendicular sidewalls, supports the flow. By introducing the dimensionless parameters and variables, the momentum equation, as well as the initial and boundary conditions, has been transformed to a dimensionless form. A mix of Laplace and Fourier transformations is used to get the exact solution for the momentum equation. The constitutive equations for Caputo-Fabrizio’s time-fractional derivative are also incorporated for recovering the exact solutions of the flow problem under consideration. After recovering the exact solutions for flow characteristics, three different cases at the surface of the bottom plate are discussed, by addressing the limiting cases under the influence of the side walls. Moreover, these solutions are captured graphically, and the effects of the Reynolds number Re, fractional parameter α, effective permeability Keff, and dimensionless parameter for Casson fluid β on the fluid’s motion are observed. |
| format | Article |
| id | doaj-art-7dec394ecd2242d094964b455a63574a |
| institution | Kabale University |
| issn | 2314-8888 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-7dec394ecd2242d094964b455a63574a2025-02-03T01:32:42ZengWileyJournal of Function Spaces2314-88882022-01-01202210.1155/2022/2765924Unsteady MHD Flow for Fractional Casson Channel Fluid in a Porous Medium: An Application of the Caputo-Fabrizio Time-Fractional DerivativePongsakorn Sunthrayuth0A. A. Alderremy1Fazal Ghani2Ayékotan M. J. Tchalla3Shaban Aly4Yasser Elmasry5Department of Mathematics and Computer ScienceDepartment of MathematicsDepartment of MathematicsDépartement de MathématiquesDepartment of MathematicsDepartment of MathematicsTheoretically, this work describes the exact solutions of fractional Casson fluid through a channel under the effect of MHD and porous medium. The unsteady fluid motion of the bottom plate, which is confined by parallel but perpendicular sidewalls, supports the flow. By introducing the dimensionless parameters and variables, the momentum equation, as well as the initial and boundary conditions, has been transformed to a dimensionless form. A mix of Laplace and Fourier transformations is used to get the exact solution for the momentum equation. The constitutive equations for Caputo-Fabrizio’s time-fractional derivative are also incorporated for recovering the exact solutions of the flow problem under consideration. After recovering the exact solutions for flow characteristics, three different cases at the surface of the bottom plate are discussed, by addressing the limiting cases under the influence of the side walls. Moreover, these solutions are captured graphically, and the effects of the Reynolds number Re, fractional parameter α, effective permeability Keff, and dimensionless parameter for Casson fluid β on the fluid’s motion are observed.http://dx.doi.org/10.1155/2022/2765924 |
| spellingShingle | Pongsakorn Sunthrayuth A. A. Alderremy Fazal Ghani Ayékotan M. J. Tchalla Shaban Aly Yasser Elmasry Unsteady MHD Flow for Fractional Casson Channel Fluid in a Porous Medium: An Application of the Caputo-Fabrizio Time-Fractional Derivative Journal of Function Spaces |
| title | Unsteady MHD Flow for Fractional Casson Channel Fluid in a Porous Medium: An Application of the Caputo-Fabrizio Time-Fractional Derivative |
| title_full | Unsteady MHD Flow for Fractional Casson Channel Fluid in a Porous Medium: An Application of the Caputo-Fabrizio Time-Fractional Derivative |
| title_fullStr | Unsteady MHD Flow for Fractional Casson Channel Fluid in a Porous Medium: An Application of the Caputo-Fabrizio Time-Fractional Derivative |
| title_full_unstemmed | Unsteady MHD Flow for Fractional Casson Channel Fluid in a Porous Medium: An Application of the Caputo-Fabrizio Time-Fractional Derivative |
| title_short | Unsteady MHD Flow for Fractional Casson Channel Fluid in a Porous Medium: An Application of the Caputo-Fabrizio Time-Fractional Derivative |
| title_sort | unsteady mhd flow for fractional casson channel fluid in a porous medium an application of the caputo fabrizio time fractional derivative |
| url | http://dx.doi.org/10.1155/2022/2765924 |
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