Analysis of MHD Williamson micropolar fluid flow in non-Darcian porous media with variable thermal conductivity
The purpose of this research is to investigate the MHD flow of Williamson fluid through a non-Darcy porous medium with micro-rotation. The governing equations are first converted into a coupled system of ODEs with initial and boundary conditions. The shooting procedure with the Runge-Kutta method is...
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| Format: | Article |
| Language: | English |
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Elsevier
2022-08-01
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| Series: | Case Studies in Thermal Engineering |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2214157X22004415 |
| _version_ | 1818159156182384640 |
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| author | Pankaj Mishra Dhirendra Kumar Jogendra Kumar Abdel-Haleem Abdel-Aty Choonkil Park Ibrahim S. Yahia |
| author_facet | Pankaj Mishra Dhirendra Kumar Jogendra Kumar Abdel-Haleem Abdel-Aty Choonkil Park Ibrahim S. Yahia |
| author_sort | Pankaj Mishra |
| collection | DOAJ |
| description | The purpose of this research is to investigate the MHD flow of Williamson fluid through a non-Darcy porous medium with micro-rotation. The governing equations are first converted into a coupled system of ODEs with initial and boundary conditions. The shooting procedure with the Runge-Kutta method is used to solve the ODEs, and determine the impact of various parameters for heat and momentum transfer of boundary layer flow. Finally, all findings are graphed and compared with earlier results to ensure that the current outputs are perfectly valid. Furthermore, it can be seen from the characteristic graph that the system parameters, magnetic field M and non-Darcy F tend to reduce the fluid velocity. Also, a comparison between the two fluid models, Williamson fluid and micropolar fluid have been obtained via the effects of various parameters on skin friction and Nusselt number. |
| first_indexed | 2024-12-11T15:41:30Z |
| format | Article |
| id | doaj.art-9080748c79b04c2e8f13636249699dc8 |
| institution | Directory Open Access Journal |
| issn | 2214-157X |
| language | English |
| last_indexed | 2024-12-11T15:41:30Z |
| publishDate | 2022-08-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Case Studies in Thermal Engineering |
| spelling | doaj.art-9080748c79b04c2e8f13636249699dc82022-12-22T00:59:48ZengElsevierCase Studies in Thermal Engineering2214-157X2022-08-0136102195Analysis of MHD Williamson micropolar fluid flow in non-Darcian porous media with variable thermal conductivityPankaj Mishra0Dhirendra Kumar1Jogendra Kumar2Abdel-Haleem Abdel-Aty3Choonkil Park4Ibrahim S. Yahia5Department of Mathematics, Central University of South Bihar, Gaya, 824236, Bihar, IndiaDepartment of Mathematics, Central University of South Bihar, Gaya, 824236, Bihar, IndiaSchool of Physical Sciences, DIT University, Dhradun, 248009, IndiaDepartment of Physics, College of Sciences, University of Bisha, PO Box 344, Bisha, 61922, Saudi Arabia; Corresponding author. Department of Physics, College of Sciences, University of Bisha, PO Box 344, Bisha, 61922, Saudi Arabia.Research Institute for Natural Sciences, Hanyang University, Seoul, 04763, Republic of Korea; Corresponding author. Research Institute for Natural Sciences, Hanyang University, Seoul, 04763, Republic of KoreaDepartment of Physics, College of Science, King Khalid University, P.O. Box 9004, Abha, 61413, Saudi Arabia; Research Center for Advanced Materials Science (RCAMS), King Khalid University, P.O. Box 9004, Abha, 61413, Saudi Arabia; Nanoscience Laboratory for Environmental and Biomedical Applications (NLEBA), Semiconductor Lab., Department of Physics, Faculty of Education, Ain Shams University, Roxy, Cairo, 11757, EgyptThe purpose of this research is to investigate the MHD flow of Williamson fluid through a non-Darcy porous medium with micro-rotation. The governing equations are first converted into a coupled system of ODEs with initial and boundary conditions. The shooting procedure with the Runge-Kutta method is used to solve the ODEs, and determine the impact of various parameters for heat and momentum transfer of boundary layer flow. Finally, all findings are graphed and compared with earlier results to ensure that the current outputs are perfectly valid. Furthermore, it can be seen from the characteristic graph that the system parameters, magnetic field M and non-Darcy F tend to reduce the fluid velocity. Also, a comparison between the two fluid models, Williamson fluid and micropolar fluid have been obtained via the effects of various parameters on skin friction and Nusselt number.http://www.sciencedirect.com/science/article/pii/S2214157X22004415MHD flowWilliamson fluidMicropolar fluidNon-Darcy porous mediumThermal conductivitySkin friction |
| spellingShingle | Pankaj Mishra Dhirendra Kumar Jogendra Kumar Abdel-Haleem Abdel-Aty Choonkil Park Ibrahim S. Yahia Analysis of MHD Williamson micropolar fluid flow in non-Darcian porous media with variable thermal conductivity Case Studies in Thermal Engineering MHD flow Williamson fluid Micropolar fluid Non-Darcy porous medium Thermal conductivity Skin friction |
| title | Analysis of MHD Williamson micropolar fluid flow in non-Darcian porous media with variable thermal conductivity |
| title_full | Analysis of MHD Williamson micropolar fluid flow in non-Darcian porous media with variable thermal conductivity |
| title_fullStr | Analysis of MHD Williamson micropolar fluid flow in non-Darcian porous media with variable thermal conductivity |
| title_full_unstemmed | Analysis of MHD Williamson micropolar fluid flow in non-Darcian porous media with variable thermal conductivity |
| title_short | Analysis of MHD Williamson micropolar fluid flow in non-Darcian porous media with variable thermal conductivity |
| title_sort | analysis of mhd williamson micropolar fluid flow in non darcian porous media with variable thermal conductivity |
| topic | MHD flow Williamson fluid Micropolar fluid Non-Darcy porous medium Thermal conductivity Skin friction |
| url | http://www.sciencedirect.com/science/article/pii/S2214157X22004415 |
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