Effect of viscous dissipation in heat transfer of MHD flow of micropolar fluid partial slip conditions: dual solutions and stability analysis
In this study, first-order slip effect with viscous dissipation and thermal radiation in micropolar fluid on a linear shrinking sheet is considered. Mathematical formulations of the governing equations of the problem have been derived by employing the fundamental laws of conservations which then con...
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| Format: | Article |
| Language: | English |
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Multidisciplinary Digital Publishing Institute (MDPI)
2019
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| Online Access: | https://repo.uum.edu.my/id/eprint/27922/1/E%2012%202019%201%2017.pdf |
| _version_ | 1803629371776303104 |
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| author | Lund, Liaquat Ali Omar, Zurni Khan, Ilyas Kadry, Seifedine Rho, Seungmin Mari, Irshad Ali Nisar, Kottakkaran Sooppy |
| author_facet | Lund, Liaquat Ali Omar, Zurni Khan, Ilyas Kadry, Seifedine Rho, Seungmin Mari, Irshad Ali Nisar, Kottakkaran Sooppy |
| author_sort | Lund, Liaquat Ali |
| collection | UUM |
| description | In this study, first-order slip effect with viscous dissipation and thermal radiation in micropolar fluid on a linear shrinking sheet is considered. Mathematical formulations of the governing equations of the problem have been derived by employing the fundamental laws of conservations which then converted into highly non-linear coupled partial differential equations (PDEs) of boundary layers. Linear transformations are employed to change PDEs into non-dimensional ordinary differential equations (ODEs). The solutions of the resultant ODEs have been obtained by using of numerical method which is presented in the form of shootlib package in MAPLE 2018. The results reveal that there is more than one solution depending upon the values of suction and material parameters. The ranges of dual solutions are S ≥ Sci , i = 0, 1, 2 and no solution is S < Sci where Sci is the critical values of S . Critical values have been obtained in the presence of dual solutions and the stability analysis is carried out to identify more stable solutions. Variations of numerous parameters have been also examined by giving tables and graphs. The numerical values have been obtained for the skin friction and local Nusselt number and presented graphically. Further, it is observed that the temperature and thickness of the thermal boundary layer increase when thermal radiation parameter is increased in both solutions. In addition, it is also noticed that the fluid velocity increases in the case of strong magnetic field effect in the second solution. |
| first_indexed | 2024-07-04T06:36:48Z |
| format | Article |
| id | uum-27922 |
| institution | Universiti Utara Malaysia |
| language | English |
| last_indexed | 2024-07-04T06:36:48Z |
| publishDate | 2019 |
| publisher | Multidisciplinary Digital Publishing Institute (MDPI) |
| record_format | dspace |
| spelling | uum-279222020-11-30T00:59:05Z https://repo.uum.edu.my/id/eprint/27922/ Effect of viscous dissipation in heat transfer of MHD flow of micropolar fluid partial slip conditions: dual solutions and stability analysis Lund, Liaquat Ali Omar, Zurni Khan, Ilyas Kadry, Seifedine Rho, Seungmin Mari, Irshad Ali Nisar, Kottakkaran Sooppy QA75 Electronic computers. Computer science In this study, first-order slip effect with viscous dissipation and thermal radiation in micropolar fluid on a linear shrinking sheet is considered. Mathematical formulations of the governing equations of the problem have been derived by employing the fundamental laws of conservations which then converted into highly non-linear coupled partial differential equations (PDEs) of boundary layers. Linear transformations are employed to change PDEs into non-dimensional ordinary differential equations (ODEs). The solutions of the resultant ODEs have been obtained by using of numerical method which is presented in the form of shootlib package in MAPLE 2018. The results reveal that there is more than one solution depending upon the values of suction and material parameters. The ranges of dual solutions are S ≥ Sci , i = 0, 1, 2 and no solution is S < Sci where Sci is the critical values of S . Critical values have been obtained in the presence of dual solutions and the stability analysis is carried out to identify more stable solutions. Variations of numerous parameters have been also examined by giving tables and graphs. The numerical values have been obtained for the skin friction and local Nusselt number and presented graphically. Further, it is observed that the temperature and thickness of the thermal boundary layer increase when thermal radiation parameter is increased in both solutions. In addition, it is also noticed that the fluid velocity increases in the case of strong magnetic field effect in the second solution. Multidisciplinary Digital Publishing Institute (MDPI) 2019 Article PeerReviewed application/pdf en https://repo.uum.edu.my/id/eprint/27922/1/E%2012%202019%201%2017.pdf Lund, Liaquat Ali and Omar, Zurni and Khan, Ilyas and Kadry, Seifedine and Rho, Seungmin and Mari, Irshad Ali and Nisar, Kottakkaran Sooppy (2019) Effect of viscous dissipation in heat transfer of MHD flow of micropolar fluid partial slip conditions: dual solutions and stability analysis. Energies, 12. pp. 1-17. ISSN 1996-1073 http://doi.org/10.3390/en12244617 doi:10.3390/en12244617 doi:10.3390/en12244617 |
| spellingShingle | QA75 Electronic computers. Computer science Lund, Liaquat Ali Omar, Zurni Khan, Ilyas Kadry, Seifedine Rho, Seungmin Mari, Irshad Ali Nisar, Kottakkaran Sooppy Effect of viscous dissipation in heat transfer of MHD flow of micropolar fluid partial slip conditions: dual solutions and stability analysis |
| title | Effect of viscous dissipation in heat transfer of MHD flow of micropolar fluid partial slip conditions: dual solutions and stability analysis |
| title_full | Effect of viscous dissipation in heat transfer of MHD flow of micropolar fluid partial slip conditions: dual solutions and stability analysis |
| title_fullStr | Effect of viscous dissipation in heat transfer of MHD flow of micropolar fluid partial slip conditions: dual solutions and stability analysis |
| title_full_unstemmed | Effect of viscous dissipation in heat transfer of MHD flow of micropolar fluid partial slip conditions: dual solutions and stability analysis |
| title_short | Effect of viscous dissipation in heat transfer of MHD flow of micropolar fluid partial slip conditions: dual solutions and stability analysis |
| title_sort | effect of viscous dissipation in heat transfer of mhd flow of micropolar fluid partial slip conditions dual solutions and stability analysis |
| topic | QA75 Electronic computers. Computer science |
| url | https://repo.uum.edu.my/id/eprint/27922/1/E%2012%202019%201%2017.pdf |
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