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...

Бүрэн тодорхойлолт

Номзүйн дэлгэрэнгүй
Үндсэн зохиолчид: N. H. A, Norzawary, N., Bachok, F. M., Ali, N. A. A., Rahmin
Формат: Өгүүллэг
Хэвлэсэн: Lviv Polytechnic National University 2022
_version_ 1825938475321393152
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
collection UPM
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 2024-03-06T11:14:26Z
format Article
id upm.eprints-101010
institution Universiti Putra Malaysia
last_indexed 2024-03-06T11:14:26Z
publishDate 2022
publisher Lviv Polytechnic National University
record_format dspace
spelling 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
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
work_keys_str_mv AT nhanorzawary doublesolutionsandstabilityanalysisofslipflowpastastretchingshrinkingsheetinacarbonnanotube
AT nbachok doublesolutionsandstabilityanalysisofslipflowpastastretchingshrinkingsheetinacarbonnanotube
AT fmali doublesolutionsandstabilityanalysisofslipflowpastastretchingshrinkingsheetinacarbonnanotube
AT naarahmin doublesolutionsandstabilityanalysisofslipflowpastastretchingshrinkingsheetinacarbonnanotube