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Double solutions and stability analysis of slip flow past a stretching/shrinking sheet in a carbon nanotube


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


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.

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Additional Metadata

Item Type: Article
Divisions: Faculty of Science
Institute for Mathematical Research
DOI Number: https://doi.org/10.23939/mmc2022.04.816
Publisher: Lviv Polytechnic National University
Keywords: Carbon nanotube; Dual solutions; Stagnation point flow; Stretching/shrinking sheet; Slip effects; Stability analysis
Depositing User: Ms. Nur Faseha Mohd Kadim
Date Deposited: 12 Jul 2023 08:34
Last Modified: 12 Jul 2023 08:34
Altmetrics: http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.23939/mmc2022.04.816
URI: http://psasir.upm.edu.my/id/eprint/101010
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