Stability analysis of Wang's stretching/shrinking sheet problem for nanofluids
The steady stagnation-point flow of nanofluid over a stretching or shrinking sheet in its own plane is investigated. The governing nonlinear partial differential equations are transformed into a nonlinear ordinary differential equations via the similarity transformation before they are solved numeri...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Horizon Research Publishing
2019
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| Online Access: | http://psasir.upm.edu.my/id/eprint/82238/ http://psasir.upm.edu.my/id/eprint/82238/1/Stability%20analysis%20of%20Wang%27s%20.pdf |
| _version_ | 1848859265886846976 |
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| author | Junoh, Mohamad Mustaqim Md Arifin, Norihan Bachok, Norfifah Md Ali, Fadzilah |
| author_facet | Junoh, Mohamad Mustaqim Md Arifin, Norihan Bachok, Norfifah Md Ali, Fadzilah |
| author_sort | Junoh, Mohamad Mustaqim |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | The steady stagnation-point flow of nanofluid over a stretching or shrinking sheet in its own plane is investigated. The governing nonlinear partial differential equations are transformed into a nonlinear ordinary differential equations via the similarity transformation before they are solved numerically using the bvp4c solver in the MATLAB. Three different types of nanoparticles (Cu; Al₂ O₃; TiO₂ ) in the water-based fluid are analyzed in this paper. Effects of the solid volume fraction ϕ on the fluid flow and heat transfer are evaluated. Numerical results are obtained for velocity and temperature distribution, as well as the skin friction coefficient and local Nusselt number are presented graphically. There exist dual solutions for a certain range of stretching/shrinking parameter ϵ. Therefore, a stability analysis is performed to determine which solution is linearly stable and physically realizable. From the stability analysis it is found that the first solution is stable whilst the second solution is not. |
| first_indexed | 2025-11-15T12:26:36Z |
| format | Article |
| id | upm-82238 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T12:26:36Z |
| publishDate | 2019 |
| publisher | Horizon Research Publishing |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-822382020-12-16T06:07:24Z http://psasir.upm.edu.my/id/eprint/82238/ Stability analysis of Wang's stretching/shrinking sheet problem for nanofluids Junoh, Mohamad Mustaqim Md Arifin, Norihan Bachok, Norfifah Md Ali, Fadzilah The steady stagnation-point flow of nanofluid over a stretching or shrinking sheet in its own plane is investigated. The governing nonlinear partial differential equations are transformed into a nonlinear ordinary differential equations via the similarity transformation before they are solved numerically using the bvp4c solver in the MATLAB. Three different types of nanoparticles (Cu; Al₂ O₃; TiO₂ ) in the water-based fluid are analyzed in this paper. Effects of the solid volume fraction ϕ on the fluid flow and heat transfer are evaluated. Numerical results are obtained for velocity and temperature distribution, as well as the skin friction coefficient and local Nusselt number are presented graphically. There exist dual solutions for a certain range of stretching/shrinking parameter ϵ. Therefore, a stability analysis is performed to determine which solution is linearly stable and physically realizable. From the stability analysis it is found that the first solution is stable whilst the second solution is not. Horizon Research Publishing 2019 Article PeerReviewed text en http://psasir.upm.edu.my/id/eprint/82238/1/Stability%20analysis%20of%20Wang%27s%20.pdf Junoh, Mohamad Mustaqim and Md Arifin, Norihan and Bachok, Norfifah and Md Ali, Fadzilah (2019) Stability analysis of Wang's stretching/shrinking sheet problem for nanofluids. Universal Journal of Mechanical Engineering, 7 (5). pp. 299-305. ISSN 2332-3353; ESSN: 2332-3361 10.13189/ujme.2019.070506 |
| spellingShingle | Junoh, Mohamad Mustaqim Md Arifin, Norihan Bachok, Norfifah Md Ali, Fadzilah Stability analysis of Wang's stretching/shrinking sheet problem for nanofluids |
| title | Stability analysis of Wang's stretching/shrinking sheet problem for nanofluids |
| title_full | Stability analysis of Wang's stretching/shrinking sheet problem for nanofluids |
| title_fullStr | Stability analysis of Wang's stretching/shrinking sheet problem for nanofluids |
| title_full_unstemmed | Stability analysis of Wang's stretching/shrinking sheet problem for nanofluids |
| title_short | Stability analysis of Wang's stretching/shrinking sheet problem for nanofluids |
| title_sort | stability analysis of wang's stretching/shrinking sheet problem for nanofluids |
| url | http://psasir.upm.edu.my/id/eprint/82238/ http://psasir.upm.edu.my/id/eprint/82238/ http://psasir.upm.edu.my/id/eprint/82238/1/Stability%20analysis%20of%20Wang%27s%20.pdf |