Multiple solutions of Cu-C6H9NaO7 and Ag-C6H9NaO7 nanofluids flow over nonlinear shrinking surface
Model of Casson nanofluid flow over a nonlinear shrinking surface is considered. Model of Tiwari and Das is applied to nanofluid comprising of sodium alginate with copper and silver. The governing nonlinear equations incorporating the effects of the viscous dissipation are transformed into boundary...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Springer Nature Switzerland AG
2019
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| Subjects: | |
| Online Access: | https://repo.uum.edu.my/id/eprint/27936/1/JCSU%2026%202019%201282%201293.pdf |
| _version_ | 1825805718370910208 |
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| author | Lund, Liaquat Ali Omar, Zurni Khan, Ilyas Dero, Sumera |
| author_facet | Lund, Liaquat Ali Omar, Zurni Khan, Ilyas Dero, Sumera |
| author_sort | Lund, Liaquat Ali |
| collection | UUM |
| description | Model of Casson nanofluid flow over a nonlinear shrinking surface is considered. Model of Tiwari and Das is applied to nanofluid comprising of sodium alginate with copper and silver. The governing nonlinear equations incorporating the effects of the viscous dissipation are transformed into boundary value problems (BVPs) of ordinary
differential equations (ODEs) by using appropriate similarity transformations. The resulting equations are converted into initial value problems (IVPs) using the shooting method which are then solved by Runge-Kutta method of fourth
order. In order to determine the stability of the dual solutions obtained, stability analysis is performed and discovered that the first (second) solution is stable (unstable) and physically realizable (unrealizable). Both the thickness of the thermal boundary layer as well as temperature increase when the Casson parameter (β) is increased in the second solution. |
| first_indexed | 2024-07-04T06:36:50Z |
| format | Article |
| id | uum-27936 |
| institution | Universiti Utara Malaysia |
| language | English |
| last_indexed | 2024-07-04T06:36:50Z |
| publishDate | 2019 |
| publisher | Springer Nature Switzerland AG |
| record_format | eprints |
| spelling | uum-279362020-12-01T05:58:39Z https://repo.uum.edu.my/id/eprint/27936/ Multiple solutions of Cu-C6H9NaO7 and Ag-C6H9NaO7 nanofluids flow over nonlinear shrinking surface Lund, Liaquat Ali Omar, Zurni Khan, Ilyas Dero, Sumera QA75 Electronic computers. Computer science Model of Casson nanofluid flow over a nonlinear shrinking surface is considered. Model of Tiwari and Das is applied to nanofluid comprising of sodium alginate with copper and silver. The governing nonlinear equations incorporating the effects of the viscous dissipation are transformed into boundary value problems (BVPs) of ordinary differential equations (ODEs) by using appropriate similarity transformations. The resulting equations are converted into initial value problems (IVPs) using the shooting method which are then solved by Runge-Kutta method of fourth order. In order to determine the stability of the dual solutions obtained, stability analysis is performed and discovered that the first (second) solution is stable (unstable) and physically realizable (unrealizable). Both the thickness of the thermal boundary layer as well as temperature increase when the Casson parameter (β) is increased in the second solution. Springer Nature Switzerland AG 2019 Article PeerReviewed application/pdf en https://repo.uum.edu.my/id/eprint/27936/1/JCSU%2026%202019%201282%201293.pdf Lund, Liaquat Ali and Omar, Zurni and Khan, Ilyas and Dero, Sumera (2019) Multiple solutions of Cu-C6H9NaO7 and Ag-C6H9NaO7 nanofluids flow over nonlinear shrinking surface. Journal of Central South University, 26. pp. 1283-1293. ISSN 2095-2899 http://doi.org/10.1007/s11771-019-4087-6 doi:10.1007/s11771-019-4087-6 doi:10.1007/s11771-019-4087-6 |
| spellingShingle | QA75 Electronic computers. Computer science Lund, Liaquat Ali Omar, Zurni Khan, Ilyas Dero, Sumera Multiple solutions of Cu-C6H9NaO7 and Ag-C6H9NaO7 nanofluids flow over nonlinear shrinking surface |
| title | Multiple solutions of Cu-C6H9NaO7 and Ag-C6H9NaO7 nanofluids flow over nonlinear shrinking surface |
| title_full | Multiple solutions of Cu-C6H9NaO7 and Ag-C6H9NaO7 nanofluids flow over nonlinear shrinking surface |
| title_fullStr | Multiple solutions of Cu-C6H9NaO7 and Ag-C6H9NaO7 nanofluids flow over nonlinear shrinking surface |
| title_full_unstemmed | Multiple solutions of Cu-C6H9NaO7 and Ag-C6H9NaO7 nanofluids flow over nonlinear shrinking surface |
| title_short | Multiple solutions of Cu-C6H9NaO7 and Ag-C6H9NaO7 nanofluids flow over nonlinear shrinking surface |
| title_sort | multiple solutions of cu c6h9nao7 and ag c6h9nao7 nanofluids flow over nonlinear shrinking surface |
| topic | QA75 Electronic computers. Computer science |
| url | https://repo.uum.edu.my/id/eprint/27936/1/JCSU%2026%202019%201282%201293.pdf |
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