Triple solutions and stability analysis of micropolar fluid flow on an exponentially shrinking surface
In this article, we reconsidered the problem of Aurangzaib et al., and reproduced the results for triple solutions. The system of governing equations has been transformed into the system of non-linear ordinary differential equations (ODEs) by using exponential similarity transformation. The system o...
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| Format: | Article |
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MDPI
2020
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| _version_ | 1803629372586852352 |
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| author | Lund, Liaquat Ali Omar, Zurni Khan, Ilyas Baleanu, Dumitru Nisar, Kottakkaran Sooppy |
| author_facet | Lund, Liaquat Ali Omar, Zurni Khan, Ilyas Baleanu, Dumitru Nisar, Kottakkaran Sooppy |
| author_sort | Lund, Liaquat Ali |
| collection | UUM |
| description | In this article, we reconsidered the problem of Aurangzaib et al., and reproduced the results for triple solutions. The system of governing equations has been transformed into the system of non-linear ordinary differential equations (ODEs) by using exponential similarity transformation. The system of ODEs is reduced to initial value problems (IVPs) by employing the shooting method before solving IVPs by the Runge Kutta method. The results reveal that there are ranges of multiple solutions, triple solutions, and a single solution. However, Aurangzaib et al., only found dual solutions. The effect of the micropolar parameter, suction parameter, and Prandtl number on velocity, angular velocity, and temperature profiles have been taken into account. Stability analysis of triple solutions is performed and found that a physically possible stable solution is the first one, while all leftover solutions are not stable and cannot be experimentally seen. |
| first_indexed | 2024-07-04T06:36:48Z |
| format | Article |
| id | uum-27926 |
| institution | Universiti Utara Malaysia |
| last_indexed | 2024-07-04T06:36:48Z |
| publishDate | 2020 |
| publisher | MDPI |
| record_format | dspace |
| spelling | uum-279262020-11-30T01:11:27Z https://repo.uum.edu.my/id/eprint/27926/ Triple solutions and stability analysis of micropolar fluid flow on an exponentially shrinking surface Lund, Liaquat Ali Omar, Zurni Khan, Ilyas Baleanu, Dumitru Nisar, Kottakkaran Sooppy QA75 Electronic computers. Computer science In this article, we reconsidered the problem of Aurangzaib et al., and reproduced the results for triple solutions. The system of governing equations has been transformed into the system of non-linear ordinary differential equations (ODEs) by using exponential similarity transformation. The system of ODEs is reduced to initial value problems (IVPs) by employing the shooting method before solving IVPs by the Runge Kutta method. The results reveal that there are ranges of multiple solutions, triple solutions, and a single solution. However, Aurangzaib et al., only found dual solutions. The effect of the micropolar parameter, suction parameter, and Prandtl number on velocity, angular velocity, and temperature profiles have been taken into account. Stability analysis of triple solutions is performed and found that a physically possible stable solution is the first one, while all leftover solutions are not stable and cannot be experimentally seen. MDPI 2020 Article PeerReviewed Lund, Liaquat Ali and Omar, Zurni and Khan, Ilyas and Baleanu, Dumitru and Nisar, Kottakkaran Sooppy (2020) Triple solutions and stability analysis of micropolar fluid flow on an exponentially shrinking surface. Crystals, 10 (4). pp. 1-14. ISSN 2073-4352 https://www.mdpi.com/2073-4352/10/4/283 |
| spellingShingle | QA75 Electronic computers. Computer science Lund, Liaquat Ali Omar, Zurni Khan, Ilyas Baleanu, Dumitru Nisar, Kottakkaran Sooppy Triple solutions and stability analysis of micropolar fluid flow on an exponentially shrinking surface |
| title | Triple solutions and stability analysis of micropolar fluid flow on an exponentially shrinking surface |
| title_full | Triple solutions and stability analysis of micropolar fluid flow on an exponentially shrinking surface |
| title_fullStr | Triple solutions and stability analysis of micropolar fluid flow on an exponentially shrinking surface |
| title_full_unstemmed | Triple solutions and stability analysis of micropolar fluid flow on an exponentially shrinking surface |
| title_short | Triple solutions and stability analysis of micropolar fluid flow on an exponentially shrinking surface |
| title_sort | triple solutions and stability analysis of micropolar fluid flow on an exponentially shrinking surface |
| topic | QA75 Electronic computers. Computer science |
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