Three-dimensional viscous flow over an unsteady permeable stretching/shrinking sheet
In this study, a numerical investigation on the unsteady three-dimensional boundary layer flow of a viscous fluid past a permeable stretching/shrinking sheet is considered. Similarity transformation is employed to reduce the governing system of nonlinear partial differential equations into the ordin...
| Main Authors: | , , , |
|---|---|
| Format: | Conference or Workshop Item |
| Language: | English |
| Published: |
AIP Publishing LLC
2013
|
| Online Access: | http://psasir.upm.edu.my/id/eprint/57552/ http://psasir.upm.edu.my/id/eprint/57552/1/Three-dimensional%20viscous%20flow%20over%20an%20unsteady%20permeable%20stretchingshrinking%20sheet.pdf |
| _version_ | 1848853398912237568 |
|---|---|
| author | Hafidzuddin, Mohd Ezad Hafidz Mohd Nazar, Roslinda Md. Arifin, Norihan Pop, Ioan |
| author_facet | Hafidzuddin, Mohd Ezad Hafidz Mohd Nazar, Roslinda Md. Arifin, Norihan Pop, Ioan |
| author_sort | Hafidzuddin, Mohd Ezad Hafidz |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | In this study, a numerical investigation on the unsteady three-dimensional boundary layer flow of a viscous fluid past a permeable stretching/shrinking sheet is considered. Similarity transformation is employed to reduce the governing system of nonlinear partial differential equations into the ordinary (similarity) differential equations. These equations are then solved numerically by using a shooting method. Both stretching and shrinking cases are considered. Effects of the unsteadiness parameter, stretching/shrinking parameter, mass suction parameter and ratio of the surface velocity gradients along the vertical y- and horizontal x- directions are presented and discussed in detail. The numerical results show that for the shrinking case, the skin friction coefficient and the velocity boundary layer thickness increase with increasing unsteadiness parameter, while the skin friction coefficient decreases and the velocity boundary layer thickness increases with increasing ratio of the surface velocity gradients. The results also show that dual solutions exist for both cases of stretching and shrinking sheet. |
| first_indexed | 2025-11-15T10:53:21Z |
| format | Conference or Workshop Item |
| id | upm-57552 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T10:53:21Z |
| publishDate | 2013 |
| publisher | AIP Publishing LLC |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-575522017-10-24T04:52:25Z http://psasir.upm.edu.my/id/eprint/57552/ Three-dimensional viscous flow over an unsteady permeable stretching/shrinking sheet Hafidzuddin, Mohd Ezad Hafidz Mohd Nazar, Roslinda Md. Arifin, Norihan Pop, Ioan In this study, a numerical investigation on the unsteady three-dimensional boundary layer flow of a viscous fluid past a permeable stretching/shrinking sheet is considered. Similarity transformation is employed to reduce the governing system of nonlinear partial differential equations into the ordinary (similarity) differential equations. These equations are then solved numerically by using a shooting method. Both stretching and shrinking cases are considered. Effects of the unsteadiness parameter, stretching/shrinking parameter, mass suction parameter and ratio of the surface velocity gradients along the vertical y- and horizontal x- directions are presented and discussed in detail. The numerical results show that for the shrinking case, the skin friction coefficient and the velocity boundary layer thickness increase with increasing unsteadiness parameter, while the skin friction coefficient decreases and the velocity boundary layer thickness increases with increasing ratio of the surface velocity gradients. The results also show that dual solutions exist for both cases of stretching and shrinking sheet. AIP Publishing LLC 2013 Conference or Workshop Item PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/57552/1/Three-dimensional%20viscous%20flow%20over%20an%20unsteady%20permeable%20stretchingshrinking%20sheet.pdf Hafidzuddin, Mohd Ezad Hafidz and Mohd Nazar, Roslinda and Md. Arifin, Norihan and Pop, Ioan (2013) Three-dimensional viscous flow over an unsteady permeable stretching/shrinking sheet. In: 3rd International Conference on Mathematical Sciences (ICMS3), 17-19 Dec. 2013, Kuala Lumpur, Malaysia. (pp. 422-428). 10.1063/1.4882520 |
| spellingShingle | Hafidzuddin, Mohd Ezad Hafidz Mohd Nazar, Roslinda Md. Arifin, Norihan Pop, Ioan Three-dimensional viscous flow over an unsteady permeable stretching/shrinking sheet |
| title | Three-dimensional viscous flow over an unsteady permeable stretching/shrinking sheet |
| title_full | Three-dimensional viscous flow over an unsteady permeable stretching/shrinking sheet |
| title_fullStr | Three-dimensional viscous flow over an unsteady permeable stretching/shrinking sheet |
| title_full_unstemmed | Three-dimensional viscous flow over an unsteady permeable stretching/shrinking sheet |
| title_short | Three-dimensional viscous flow over an unsteady permeable stretching/shrinking sheet |
| title_sort | three-dimensional viscous flow over an unsteady permeable stretching/shrinking sheet |
| url | http://psasir.upm.edu.my/id/eprint/57552/ http://psasir.upm.edu.my/id/eprint/57552/ http://psasir.upm.edu.my/id/eprint/57552/1/Three-dimensional%20viscous%20flow%20over%20an%20unsteady%20permeable%20stretchingshrinking%20sheet.pdf |