Stability analysis of unsteady three-dimensional viscous flow over a permeable stretching/shrinking surface
In this paper, a theoretical and numerical study on the unsteady three-dimensional boundary layer flow of a viscous fluid past a permeable stretching/shrinking sheet is considered. Similarity transformation is used to reduce the governing system of nonlinear partial differential equations into a sys...
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| Format: | Article |
| Language: | English |
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Universiti Kebangsaan Malaysia
2015
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| Online Access: | http://psasir.upm.edu.my/id/eprint/51821/1/Stability%20analysis%20of%20unsteady%20three-dimensional%20viscous%20flow%20over%20a%20permeable%20stretchingshrinking%20surface.pdf |
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| author | Hafidzuddin, Mohd Ezad Hafidz Nazar, Roslinda Md. Arifin, Norihan Pop, Ioan |
| author_facet | Hafidzuddin, Mohd Ezad Hafidz Nazar, Roslinda Md. Arifin, Norihan Pop, Ioan |
| author_sort | Hafidzuddin, Mohd Ezad Hafidz |
| collection | UPM |
| description | In this paper, a theoretical and numerical study on the unsteady three-dimensional boundary layer flow of a viscous fluid past a permeable stretching/shrinking sheet is considered. Similarity transformation is used to reduce the governing system of nonlinear partial differential equations into a system of ordinary differential equations. These equations are then solved numerically by using the “bvp4c” function in MATLAB. The effects of the governing parameters, namely the unsteadiness parameter, the stretching/shrinking parameter, the suction parameter and the ratio of the surface velocity gradients on the skin friction coefficients, as well as the velocity profiles are presented and discussed. Multiple solutions are found for a certain range of the governing parameters. Stability analysis has been performed to determine which solution is stable and physically realisable. |
| first_indexed | 2024-03-06T09:14:05Z |
| format | Article |
| id | upm.eprints-51821 |
| institution | Universiti Putra Malaysia |
| language | English |
| last_indexed | 2024-03-06T09:14:05Z |
| publishDate | 2015 |
| publisher | Universiti Kebangsaan Malaysia |
| record_format | dspace |
| spelling | upm.eprints-518212017-05-02T08:02:40Z http://psasir.upm.edu.my/id/eprint/51821/ Stability analysis of unsteady three-dimensional viscous flow over a permeable stretching/shrinking surface Hafidzuddin, Mohd Ezad Hafidz Nazar, Roslinda Md. Arifin, Norihan Pop, Ioan In this paper, a theoretical and numerical study on the unsteady three-dimensional boundary layer flow of a viscous fluid past a permeable stretching/shrinking sheet is considered. Similarity transformation is used to reduce the governing system of nonlinear partial differential equations into a system of ordinary differential equations. These equations are then solved numerically by using the “bvp4c” function in MATLAB. The effects of the governing parameters, namely the unsteadiness parameter, the stretching/shrinking parameter, the suction parameter and the ratio of the surface velocity gradients on the skin friction coefficients, as well as the velocity profiles are presented and discussed. Multiple solutions are found for a certain range of the governing parameters. Stability analysis has been performed to determine which solution is stable and physically realisable. Universiti Kebangsaan Malaysia 2015 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/51821/1/Stability%20analysis%20of%20unsteady%20three-dimensional%20viscous%20flow%20over%20a%20permeable%20stretchingshrinking%20surface.pdf Hafidzuddin, Mohd Ezad Hafidz and Nazar, Roslinda and Md. Arifin, Norihan and Pop, Ioan (2015) Stability analysis of unsteady three-dimensional viscous flow over a permeable stretching/shrinking surface. Journal of Quality Measurement and Analysis, 11 (1). pp. 19-31. ISSN 1823-5670 http://www.ukm.my/jqma/jqma11_1a.html |
| spellingShingle | Hafidzuddin, Mohd Ezad Hafidz Nazar, Roslinda Md. Arifin, Norihan Pop, Ioan Stability analysis of unsteady three-dimensional viscous flow over a permeable stretching/shrinking surface |
| title | Stability analysis of unsteady three-dimensional viscous flow over a permeable stretching/shrinking surface |
| title_full | Stability analysis of unsteady three-dimensional viscous flow over a permeable stretching/shrinking surface |
| title_fullStr | Stability analysis of unsteady three-dimensional viscous flow over a permeable stretching/shrinking surface |
| title_full_unstemmed | Stability analysis of unsteady three-dimensional viscous flow over a permeable stretching/shrinking surface |
| title_short | Stability analysis of unsteady three-dimensional viscous flow over a permeable stretching/shrinking surface |
| title_sort | stability analysis of unsteady three dimensional viscous flow over a permeable stretching shrinking surface |
| url | http://psasir.upm.edu.my/id/eprint/51821/1/Stability%20analysis%20of%20unsteady%20three-dimensional%20viscous%20flow%20over%20a%20permeable%20stretchingshrinking%20surface.pdf |
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