Caputo-fabrizio time fractional derivative applied to visco elastic MHD fluid flow in the porous medium
In this paper the laminar fluid flow in the axially symmetric porous cylindrical channel subjected to the magnetic field was studied. Fluid model was non-Newtonian and visco elastic. The effects of magnetic field and pressure gradient on the fluid velocity were studied by using a new trend of fracti...
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| Format: | Article |
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Science Publishing Corporation
2018
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| _version_ | 1825709808229023744 |
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| author | Uddin, Salah Mohamad, M. Mohamad, M. A. H. Sufahani, Suliadi Firdaus Kamardan, MGhazali Mehmood, Obaid Ullah Wahid, Fazli Roslan, R. |
| author_facet | Uddin, Salah Mohamad, M. Mohamad, M. A. H. Sufahani, Suliadi Firdaus Kamardan, MGhazali Mehmood, Obaid Ullah Wahid, Fazli Roslan, R. |
| author_sort | Uddin, Salah |
| collection | UTHM |
| description | In this paper the laminar fluid flow in the axially symmetric porous cylindrical channel subjected to the magnetic field was studied. Fluid model was non-Newtonian and visco elastic. The effects of magnetic field and pressure gradient on the fluid velocity were studied by using a new trend of fractional derivative without singular kernel. The governing equations consisted of fractional partial differential equations based on the Caputo-Fabrizio new time-fractional derivatives NFDt. Velocity profiles for various fractional parameter a, Hartmann number, permeability parameter and elasticity were reported. The fluid velocity inside the cylindrical artery decreased with respect to Hartmann number, permeability parameter and elasticity. The results obtained from the fractional derivative model are significantly different from those of the ordinary model. |
| first_indexed | 2024-03-05T21:48:02Z |
| format | Article |
| id | uthm.eprints-4248 |
| institution | Universiti Tun Hussein Onn Malaysia |
| last_indexed | 2024-03-05T21:48:02Z |
| publishDate | 2018 |
| publisher | Science Publishing Corporation |
| record_format | dspace |
| spelling | uthm.eprints-42482021-12-01T07:45:20Z http://eprints.uthm.edu.my/4248/ Caputo-fabrizio time fractional derivative applied to visco elastic MHD fluid flow in the porous medium Uddin, Salah Mohamad, M. Mohamad, M. A. H. Sufahani, Suliadi Firdaus Kamardan, MGhazali Mehmood, Obaid Ullah Wahid, Fazli Roslan, R. TA365-367 Acoustics in engineering. Acoustical engineering In this paper the laminar fluid flow in the axially symmetric porous cylindrical channel subjected to the magnetic field was studied. Fluid model was non-Newtonian and visco elastic. The effects of magnetic field and pressure gradient on the fluid velocity were studied by using a new trend of fractional derivative without singular kernel. The governing equations consisted of fractional partial differential equations based on the Caputo-Fabrizio new time-fractional derivatives NFDt. Velocity profiles for various fractional parameter a, Hartmann number, permeability parameter and elasticity were reported. The fluid velocity inside the cylindrical artery decreased with respect to Hartmann number, permeability parameter and elasticity. The results obtained from the fractional derivative model are significantly different from those of the ordinary model. Science Publishing Corporation 2018 Article PeerReviewed Uddin, Salah and Mohamad, M. and Mohamad, M. A. H. and Sufahani, Suliadi Firdaus and Kamardan, MGhazali and Mehmood, Obaid Ullah and Wahid, Fazli and Roslan, R. (2018) Caputo-fabrizio time fractional derivative applied to visco elastic MHD fluid flow in the porous medium. International Journal of Engineering and Technology, 7 (4.30). pp. 533-537. ISSN 2227-524X https://dx.doi.org/ 10.14419/ijet.v7i4.30.28171 |
| spellingShingle | TA365-367 Acoustics in engineering. Acoustical engineering Uddin, Salah Mohamad, M. Mohamad, M. A. H. Sufahani, Suliadi Firdaus Kamardan, MGhazali Mehmood, Obaid Ullah Wahid, Fazli Roslan, R. Caputo-fabrizio time fractional derivative applied to visco elastic MHD fluid flow in the porous medium |
| title | Caputo-fabrizio time fractional derivative applied to visco elastic MHD fluid flow in the porous medium |
| title_full | Caputo-fabrizio time fractional derivative applied to visco elastic MHD fluid flow in the porous medium |
| title_fullStr | Caputo-fabrizio time fractional derivative applied to visco elastic MHD fluid flow in the porous medium |
| title_full_unstemmed | Caputo-fabrizio time fractional derivative applied to visco elastic MHD fluid flow in the porous medium |
| title_short | Caputo-fabrizio time fractional derivative applied to visco elastic MHD fluid flow in the porous medium |
| title_sort | caputo fabrizio time fractional derivative applied to visco elastic mhd fluid flow in the porous medium |
| topic | TA365-367 Acoustics in engineering. Acoustical engineering |
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