Double solutions and stability analysis of slip flow past a stretching/shrinking sheet in a carbon nanotube
A stagnation point flow past a stretching/shrinking surface in carbon nanotubes (CNTs) with slip effects is investigated in this paper. Applying transformations of similarity, the governing partial differential equations are modified to the nonlinear ordinary differential equations. Afterward, the...
| Main Authors: | , , , |
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| Format: | Article |
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Lviv Polytechnic National University
2022
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| Online Access: | http://psasir.upm.edu.my/id/eprint/101010/ |
| _version_ | 1848863470415511552 |
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| author | N. H. A, Norzawary N., Bachok F. M., Ali N. A. A., Rahmin |
| author_facet | N. H. A, Norzawary N., Bachok F. M., Ali N. A. A., Rahmin |
| author_sort | N. H. A, Norzawary |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | A stagnation point flow past a stretching/shrinking surface in carbon nanotubes (CNTs) with slip effects is investigated in this paper. Applying transformations of similarity, the governing partial differential equations are modified to the nonlinear ordinary differential equations. Afterward, they are numerically solved in Matlab by the bvp4c solver. The single-wall CNTs and multi-wall CNTs are used, including water as a base fluid. The effects of the flow parameters are investigated, shown in the form of graphs, and physically evaluated for the dimensionless velocity, temperature, skin friction, and Nusselt numbers. According to our findings, the unique solution exists for stretching sheets, whereas non-unique solutions are obtainable for shrinking sheets. The stability analysis is utilized to discover which solution is stable. |
| first_indexed | 2025-11-15T13:33:26Z |
| format | Article |
| id | upm-101010 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-15T13:33:26Z |
| publishDate | 2022 |
| publisher | Lviv Polytechnic National University |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-1010102023-07-12T08:34:32Z http://psasir.upm.edu.my/id/eprint/101010/ Double solutions and stability analysis of slip flow past a stretching/shrinking sheet in a carbon nanotube N. H. A, Norzawary N., Bachok F. M., Ali N. A. A., Rahmin A stagnation point flow past a stretching/shrinking surface in carbon nanotubes (CNTs) with slip effects is investigated in this paper. Applying transformations of similarity, the governing partial differential equations are modified to the nonlinear ordinary differential equations. Afterward, they are numerically solved in Matlab by the bvp4c solver. The single-wall CNTs and multi-wall CNTs are used, including water as a base fluid. The effects of the flow parameters are investigated, shown in the form of graphs, and physically evaluated for the dimensionless velocity, temperature, skin friction, and Nusselt numbers. According to our findings, the unique solution exists for stretching sheets, whereas non-unique solutions are obtainable for shrinking sheets. The stability analysis is utilized to discover which solution is stable. Lviv Polytechnic National University 2022 Article PeerReviewed N. H. A, Norzawary and N., Bachok and F. M., Ali and N. A. A., Rahmin (2022) Double solutions and stability analysis of slip flow past a stretching/shrinking sheet in a carbon nanotube. Mathematical Modeling and Computing, 9 (4). 816 - 824. ISSN 2312-9794; ESSN: 2415-3788 https://science.lpnu.ua/mmc/all-volumes-and-issues/volume-9-number-4-2022/double-solutions-and-stability-analysis-slip-flow 10.23939/mmc2022.04.816 |
| spellingShingle | N. H. A, Norzawary N., Bachok F. M., Ali N. A. A., Rahmin Double solutions and stability analysis of slip flow past a stretching/shrinking sheet in a carbon nanotube |
| title | Double solutions and stability analysis of slip flow past a stretching/shrinking sheet in a carbon nanotube |
| title_full | Double solutions and stability analysis of slip flow past a stretching/shrinking sheet in a carbon nanotube |
| title_fullStr | Double solutions and stability analysis of slip flow past a stretching/shrinking sheet in a carbon nanotube |
| title_full_unstemmed | Double solutions and stability analysis of slip flow past a stretching/shrinking sheet in a carbon nanotube |
| title_short | Double solutions and stability analysis of slip flow past a stretching/shrinking sheet in a carbon nanotube |
| title_sort | double solutions and stability analysis of slip flow past a stretching/shrinking sheet in a carbon nanotube |
| url | http://psasir.upm.edu.my/id/eprint/101010/ http://psasir.upm.edu.my/id/eprint/101010/ http://psasir.upm.edu.my/id/eprint/101010/ |