Stagnation-point flow past a shrinking sheet in a nanofluid.
In this paper, the stagnation-point flow and heat transfer towards a shrinking sheet in a nanofluid is considered. The nonlinear system of coupled partial differential equations was transformed and reduced to a nonlinear system of coupled ordinary differential equations, which was solved numerically...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English English |
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Springer Verlag
2011
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| Online Access: | http://psasir.upm.edu.my/id/eprint/25009/ http://psasir.upm.edu.my/id/eprint/25009/1/Stagnation-point%20flow%20past%20a%20shrinking%20.pdf |
| _version_ | 1848845192313962496 |
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| author | Nazar, Roslinda Jaradat, Mihaela Md. Arifin, Norihan Pop, Ioan |
| author_facet | Nazar, Roslinda Jaradat, Mihaela Md. Arifin, Norihan Pop, Ioan |
| author_sort | Nazar, Roslinda |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | In this paper, the stagnation-point flow and heat transfer towards a shrinking sheet in a nanofluid is considered. The nonlinear system of coupled partial differential equations was transformed and reduced to a nonlinear system of coupled ordinary differential equations, which was solved numerically using the shooting method. Numerical results were obtained for the skin friction coefficient, the local Nusselt number as well as the velocity and temperature profiles for some values of the governing parameters, namely the nanoparticle volume fraction φ, the shrinking parameter λand the Prandtl number Pr. Three different types of nanoparticles are considered, namely Cu, Al2O3 and TiO2. It was found that nanoparticles of low thermal conductivity, TiO2, have better enhancement on heat transfer compared to nanoparticles Al2O3 and Cu. For a particular nanoparticle, increasing the volume fraction φ results in an increase of the skin friction coefficient and the heat transfer rate at the surface. It is also found that solutions do not exist for larger shrinking rates and dual solutions exist when λ < −1.0. |
| first_indexed | 2025-11-15T08:42:54Z |
| format | Article |
| id | upm-25009 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English English |
| last_indexed | 2025-11-15T08:42:54Z |
| publishDate | 2011 |
| publisher | Springer Verlag |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-250092015-12-16T04:45:58Z http://psasir.upm.edu.my/id/eprint/25009/ Stagnation-point flow past a shrinking sheet in a nanofluid. Nazar, Roslinda Jaradat, Mihaela Md. Arifin, Norihan Pop, Ioan In this paper, the stagnation-point flow and heat transfer towards a shrinking sheet in a nanofluid is considered. The nonlinear system of coupled partial differential equations was transformed and reduced to a nonlinear system of coupled ordinary differential equations, which was solved numerically using the shooting method. Numerical results were obtained for the skin friction coefficient, the local Nusselt number as well as the velocity and temperature profiles for some values of the governing parameters, namely the nanoparticle volume fraction φ, the shrinking parameter λand the Prandtl number Pr. Three different types of nanoparticles are considered, namely Cu, Al2O3 and TiO2. It was found that nanoparticles of low thermal conductivity, TiO2, have better enhancement on heat transfer compared to nanoparticles Al2O3 and Cu. For a particular nanoparticle, increasing the volume fraction φ results in an increase of the skin friction coefficient and the heat transfer rate at the surface. It is also found that solutions do not exist for larger shrinking rates and dual solutions exist when λ < −1.0. Springer Verlag 2011 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/25009/1/Stagnation-point%20flow%20past%20a%20shrinking%20.pdf Nazar, Roslinda and Jaradat, Mihaela and Md. Arifin, Norihan and Pop, Ioan (2011) Stagnation-point flow past a shrinking sheet in a nanofluid. Central European Journal of Physics, 9 (5). pp. 1195-1202. ISSN 1895-1082 http://link.springer.com/ 10.2478/s11534-011-0024-5 English |
| spellingShingle | Nazar, Roslinda Jaradat, Mihaela Md. Arifin, Norihan Pop, Ioan Stagnation-point flow past a shrinking sheet in a nanofluid. |
| title | Stagnation-point flow past a shrinking sheet in a nanofluid. |
| title_full | Stagnation-point flow past a shrinking sheet in a nanofluid. |
| title_fullStr | Stagnation-point flow past a shrinking sheet in a nanofluid. |
| title_full_unstemmed | Stagnation-point flow past a shrinking sheet in a nanofluid. |
| title_short | Stagnation-point flow past a shrinking sheet in a nanofluid. |
| title_sort | stagnation-point flow past a shrinking sheet in a nanofluid. |
| url | http://psasir.upm.edu.my/id/eprint/25009/ http://psasir.upm.edu.my/id/eprint/25009/ http://psasir.upm.edu.my/id/eprint/25009/ http://psasir.upm.edu.my/id/eprint/25009/1/Stagnation-point%20flow%20past%20a%20shrinking%20.pdf |