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...

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Main Authors: N. H. A, Norzawary, N., Bachok, F. M., Ali, N. A. A., Rahmin
Format: Article
Published: Lviv Polytechnic National University 2022
Online Access:http://psasir.upm.edu.my/id/eprint/101010/
https://science.lpnu.ua/mmc/all-volumes-and-issues/volume-9-number-4-2022/double-solutions-and-stability-analysis-slip-flow
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spelling my.upm.eprints.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
institution Universiti Putra Malaysia
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country Malaysia
content_provider Universiti Putra Malaysia
content_source UPM Institutional Repository
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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.
format Article
author N. H. A, Norzawary
N., Bachok
F. M., Ali
N. A. A., Rahmin
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
author_facet N. H. A, Norzawary
N., Bachok
F. M., Ali
N. A. A., Rahmin
author_sort N. H. A, Norzawary
title 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_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_sort double solutions and stability analysis of slip flow past a stretching/shrinking sheet in a carbon nanotube
publisher Lviv Polytechnic National University
publishDate 2022
url http://psasir.upm.edu.my/id/eprint/101010/
https://science.lpnu.ua/mmc/all-volumes-and-issues/volume-9-number-4-2022/double-solutions-and-stability-analysis-slip-flow
_version_ 1772813421646970880
score 13.211869