Stability analysis of a rotating flow toward a shrinking permeable surface in nanofluid
The rotating boundary layer flow over a shrinking permeable surface in nanofluid is numerically studied. The similarity transformation is used to transform the partial differential equations into nonlinear ordinary differential equations. Later, these equations are determined by using bvp4c pack...
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
University of Malaya
2019
|
| Online Access: | http://psasir.upm.edu.my/id/eprint/82232/ http://psasir.upm.edu.my/id/eprint/82232/1/Stability%20analysis%20.pdf |
| _version_ | 1848859265072103424 |
|---|---|
| author | Salleh, Siti Nur Alwani Bachok, Norfifah Md Arifin, Norihan |
| author_facet | Salleh, Siti Nur Alwani Bachok, Norfifah Md Arifin, Norihan |
| author_sort | Salleh, Siti Nur Alwani |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | The rotating boundary layer flow over a shrinking permeable surface in nanofluid is numerically studied. The similarity transformation is used to transform the partial
differential equations into nonlinear ordinary differential equations. Later, these equations are determined by using bvp4c package in the MATLAB software. The numerical results reveal that there is more than one solution called dual solutions obtained for a certain range of the rotation
and suction parameters. A stability analysis is performed to determine which solution is stable by depending on the sign of the eigenvalues. Based on this analysis, the results indicate that the upper branch solution (first solution) is linearly stable, while the lower branch solution (second
solution) is linearly unstable. |
| first_indexed | 2025-11-15T12:26:35Z |
| format | Article |
| id | upm-82232 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T12:26:35Z |
| publishDate | 2019 |
| publisher | University of Malaya |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-822322020-12-16T06:05:09Z http://psasir.upm.edu.my/id/eprint/82232/ Stability analysis of a rotating flow toward a shrinking permeable surface in nanofluid Salleh, Siti Nur Alwani Bachok, Norfifah Md Arifin, Norihan The rotating boundary layer flow over a shrinking permeable surface in nanofluid is numerically studied. The similarity transformation is used to transform the partial differential equations into nonlinear ordinary differential equations. Later, these equations are determined by using bvp4c package in the MATLAB software. The numerical results reveal that there is more than one solution called dual solutions obtained for a certain range of the rotation and suction parameters. A stability analysis is performed to determine which solution is stable by depending on the sign of the eigenvalues. Based on this analysis, the results indicate that the upper branch solution (first solution) is linearly stable, while the lower branch solution (second solution) is linearly unstable. University of Malaya 2019-02 Article PeerReviewed text en http://psasir.upm.edu.my/id/eprint/82232/1/Stability%20analysis%20.pdf Salleh, Siti Nur Alwani and Bachok, Norfifah and Md Arifin, Norihan (2019) Stability analysis of a rotating flow toward a shrinking permeable surface in nanofluid. Malaysian Journal of Science (spec.1). pp. 19-32. ISSN 1394-3065; ESSN: 2600-8688 10.22452/mjs.sp2019no1.2 |
| spellingShingle | Salleh, Siti Nur Alwani Bachok, Norfifah Md Arifin, Norihan Stability analysis of a rotating flow toward a shrinking permeable surface in nanofluid |
| title | Stability analysis of a rotating flow toward a shrinking permeable surface in nanofluid |
| title_full | Stability analysis of a rotating flow toward a shrinking permeable surface in nanofluid |
| title_fullStr | Stability analysis of a rotating flow toward a shrinking permeable surface in nanofluid |
| title_full_unstemmed | Stability analysis of a rotating flow toward a shrinking permeable surface in nanofluid |
| title_short | Stability analysis of a rotating flow toward a shrinking permeable surface in nanofluid |
| title_sort | stability analysis of a rotating flow toward a shrinking permeable surface in nanofluid |
| url | http://psasir.upm.edu.my/id/eprint/82232/ http://psasir.upm.edu.my/id/eprint/82232/ http://psasir.upm.edu.my/id/eprint/82232/1/Stability%20analysis%20.pdf |