Numerical solutions of Wang's stretching/shrinking sheet problem for nanofluids
The steady stagnation-point flow of a viscous and incompressible fluid over a continuously stretching or shrinking sheet in its own plane in a water-based copper (Cu) nanofluid is studied theoretically. The formulation of the present problem in a nanofluid follows that of Wang's stretching/shri...
| Main Authors: | , , , |
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| Format: | Conference or Workshop Item |
| Language: | English |
| Published: |
AIP Publishing LLC
2013
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| Online Access: | http://psasir.upm.edu.my/id/eprint/57243/ http://psasir.upm.edu.my/id/eprint/57243/1/Numerical%20solutions%20of%20Wang%27s%20stretchingshrinking%20sheet%20problem%20for%20nanofluids.pdf |
| _version_ | 1848853310998577152 |
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| author | Md Ali, Fadzilah Nazar, Roslinda Md. Arifin, Norihan Pop, Ioan |
| author_facet | Md Ali, Fadzilah Nazar, Roslinda Md. Arifin, Norihan Pop, Ioan |
| author_sort | Md Ali, Fadzilah |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | The steady stagnation-point flow of a viscous and incompressible fluid over a continuously stretching or shrinking sheet in its own plane in a water-based copper (Cu) nanofluid is studied theoretically. The formulation of the present problem in a nanofluid follows that of Wang's stretching/shrinking sheet problem in a viscous fluid. The nonlinear partial differential equations are transformed into ordinary differential equations via the similarity transformation. The transformed boundary layer equations are solved numerically using the shooting method. The numerical solutions are obtained and discussed for the skin friction coefficient and the velocity profiles for various values of the governing parameters, namely the nanoparticle volume fraction and stretching/shrinking parameters. It is found that dual solutions exist for the shrinking sheet case. |
| first_indexed | 2025-11-15T10:51:57Z |
| format | Conference or Workshop Item |
| id | upm-57243 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T10:51:57Z |
| publishDate | 2013 |
| publisher | AIP Publishing LLC |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-572432017-09-26T03:48:42Z http://psasir.upm.edu.my/id/eprint/57243/ Numerical solutions of Wang's stretching/shrinking sheet problem for nanofluids Md Ali, Fadzilah Nazar, Roslinda Md. Arifin, Norihan Pop, Ioan The steady stagnation-point flow of a viscous and incompressible fluid over a continuously stretching or shrinking sheet in its own plane in a water-based copper (Cu) nanofluid is studied theoretically. The formulation of the present problem in a nanofluid follows that of Wang's stretching/shrinking sheet problem in a viscous fluid. The nonlinear partial differential equations are transformed into ordinary differential equations via the similarity transformation. The transformed boundary layer equations are solved numerically using the shooting method. The numerical solutions are obtained and discussed for the skin friction coefficient and the velocity profiles for various values of the governing parameters, namely the nanoparticle volume fraction and stretching/shrinking parameters. It is found that dual solutions exist for the shrinking sheet case. AIP Publishing LLC 2013 Conference or Workshop Item PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/57243/1/Numerical%20solutions%20of%20Wang%27s%20stretchingshrinking%20sheet%20problem%20for%20nanofluids.pdf Md Ali, Fadzilah and Nazar, Roslinda and Md. Arifin, Norihan and Pop, Ioan (2013) Numerical solutions of Wang's stretching/shrinking sheet problem for nanofluids. In: International Conference on Mathematical Sciences and Statistics 2013 (ICMSS2013), 5-7 Feb. 2013, Kuala Lumpur, Malaysia. (pp. 330-334). 10.1063/1.4823930 |
| spellingShingle | Md Ali, Fadzilah Nazar, Roslinda Md. Arifin, Norihan Pop, Ioan Numerical solutions of Wang's stretching/shrinking sheet problem for nanofluids |
| title | Numerical solutions of Wang's stretching/shrinking sheet problem for nanofluids |
| title_full | Numerical solutions of Wang's stretching/shrinking sheet problem for nanofluids |
| title_fullStr | Numerical solutions of Wang's stretching/shrinking sheet problem for nanofluids |
| title_full_unstemmed | Numerical solutions of Wang's stretching/shrinking sheet problem for nanofluids |
| title_short | Numerical solutions of Wang's stretching/shrinking sheet problem for nanofluids |
| title_sort | numerical solutions of wang's stretching/shrinking sheet problem for nanofluids |
| url | http://psasir.upm.edu.my/id/eprint/57243/ http://psasir.upm.edu.my/id/eprint/57243/ http://psasir.upm.edu.my/id/eprint/57243/1/Numerical%20solutions%20of%20Wang%27s%20stretchingshrinking%20sheet%20problem%20for%20nanofluids.pdf |