Modeling and Analysis of MHD Oscillatory Flows of Generalized Burgers’ Fluid in a Porous Medium Using Fourier Transform
In this article, exact solutions of unsteady oscillatory generalized Burgers’ fluid are proposed for three different cases using Fourier transform approach. The fluid is electrically conducting under the influence of uniform transverse magnetic field and passing through the porous medium. MHD flows...
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| Format: | Article |
| Language: | English |
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Wiley
2022-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2022/2373084 |
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| _version_ | 1832565754781761536 |
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| author | Mazhar Hussain Mubashir Qayyum Sidra Afzal |
| author_facet | Mazhar Hussain Mubashir Qayyum Sidra Afzal |
| author_sort | Mazhar Hussain |
| collection | DOAJ |
| description | In this article, exact solutions of unsteady oscillatory generalized Burgers’ fluid are proposed for three different cases using Fourier transform approach. The fluid is electrically conducting under the influence of uniform transverse magnetic field and passing through the porous medium. MHD flows are induced by imposed periodic pressure gradients with smaller oscillations. Closed form solutions are obtained using Fourier sine transform, and several existing results are recovered as limiting cases. Furthermore, effects of different fluid parameters on the velocity profile are studied graphically. Analysis reveals that magnetic field and porosity parameter increases the velocity profile in case of Oldroyd-B and generalized Burgers’ fluid. It is also observed that magnetic field has more prominent effect on Burgers’ fluid as compared to Oldroyd-B fluid, while porosity parameter showed noticeable effect on Oldroyd-B fluid as compared to Burgers’ fluid. |
| format | Article |
| id | doaj-art-ec98bfd891d14da9a6efc97949372d43 |
| institution | Kabale University |
| issn | 2314-4785 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-ec98bfd891d14da9a6efc97949372d432025-02-03T01:06:48ZengWileyJournal of Mathematics2314-47852022-01-01202210.1155/2022/2373084Modeling and Analysis of MHD Oscillatory Flows of Generalized Burgers’ Fluid in a Porous Medium Using Fourier TransformMazhar Hussain0Mubashir Qayyum1Sidra Afzal2Department of Sciences & HumanitiesDepartment of Sciences & HumanitiesDepartment of Sciences & HumanitiesIn this article, exact solutions of unsteady oscillatory generalized Burgers’ fluid are proposed for three different cases using Fourier transform approach. The fluid is electrically conducting under the influence of uniform transverse magnetic field and passing through the porous medium. MHD flows are induced by imposed periodic pressure gradients with smaller oscillations. Closed form solutions are obtained using Fourier sine transform, and several existing results are recovered as limiting cases. Furthermore, effects of different fluid parameters on the velocity profile are studied graphically. Analysis reveals that magnetic field and porosity parameter increases the velocity profile in case of Oldroyd-B and generalized Burgers’ fluid. It is also observed that magnetic field has more prominent effect on Burgers’ fluid as compared to Oldroyd-B fluid, while porosity parameter showed noticeable effect on Oldroyd-B fluid as compared to Burgers’ fluid.http://dx.doi.org/10.1155/2022/2373084 |
| spellingShingle | Mazhar Hussain Mubashir Qayyum Sidra Afzal Modeling and Analysis of MHD Oscillatory Flows of Generalized Burgers’ Fluid in a Porous Medium Using Fourier Transform Journal of Mathematics |
| title | Modeling and Analysis of MHD Oscillatory Flows of Generalized Burgers’ Fluid in a Porous Medium Using Fourier Transform |
| title_full | Modeling and Analysis of MHD Oscillatory Flows of Generalized Burgers’ Fluid in a Porous Medium Using Fourier Transform |
| title_fullStr | Modeling and Analysis of MHD Oscillatory Flows of Generalized Burgers’ Fluid in a Porous Medium Using Fourier Transform |
| title_full_unstemmed | Modeling and Analysis of MHD Oscillatory Flows of Generalized Burgers’ Fluid in a Porous Medium Using Fourier Transform |
| title_short | Modeling and Analysis of MHD Oscillatory Flows of Generalized Burgers’ Fluid in a Porous Medium Using Fourier Transform |
| title_sort | modeling and analysis of mhd oscillatory flows of generalized burgers fluid in a porous medium using fourier transform |
| url | http://dx.doi.org/10.1155/2022/2373084 |
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