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Stability analysis of Wang's stretching/shrinking sheet problem for nanofluids


Junoh, Mohamad Mustaqim and Md Arifin, Norihan and Bachok, Norfifah and Md Ali, Fadzilah (2019) Stability analysis of Wang's stretching/shrinking sheet problem for nanofluids. Universal Journal of Mechanical Engineering, 7 (5). pp. 299-305. ISSN 2332-3353; ESSN: 2332-3361


The steady stagnation-point flow of nanofluid over a stretching or shrinking sheet in its own plane is investigated. The governing nonlinear partial differential equations are transformed into a nonlinear ordinary differential equations via the similarity transformation before they are solved numerically using the bvp4c solver in the MATLAB. Three different types of nanoparticles (Cu; Al₂ O₃; TiO₂ ) in the water-based fluid are analyzed in this paper. Effects of the solid volume fraction ϕ on the fluid flow and heat transfer are evaluated. Numerical results are obtained for velocity and temperature distribution, as well as the skin friction coefficient and local Nusselt number are presented graphically. There exist dual solutions for a certain range of stretching/shrinking parameter ϵ. Therefore, a stability analysis is performed to determine which solution is linearly stable and physically realizable. From the stability analysis it is found that the first solution is stable whilst the second solution is not.

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Additional Metadata

Item Type: Article
Divisions: Faculty of Science
Institute for Mathematical Research
DOI Number: https://doi.org/10.13189/ujme.2019.070506
Publisher: Horizon Research Publishing
Keywords: Boundary layer; Dual solutions; Stagnation-point flow; Nanoparticles; Stability analysis
Depositing User: Mr. Sazali Mohamad
Date Deposited: 16 Dec 2020 06:07
Last Modified: 16 Dec 2020 06:07
Altmetrics: http://www.altmetrics.com/details.php?domain=pasir.upm.edu.my&doi=10.13189/ujme.2019.070506
URI: http://psasir.upm.edu.my/id/eprint/82238
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