Mixed convection flow of Powell-Eyring nanofluid near a stagnation point along a vertical stretching sheet

Halim, Nadhirah Abdul and Mohd Noor, Noor Fadiya (2021) Mixed convection flow of Powell-Eyring nanofluid near a stagnation point along a vertical stretching sheet. Mathematics, 9 (4). ISSN 2227-7390, DOI https://doi.org/10.3390/math9040364.

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Abstract

A stagnation-point flow of a Powell-Eyring nanofluid along a vertical stretching surface is examined. The buoyancy force effect due to mixed convection is taken into consideration along with the Brownian motion and thermophoresis effect. The flow is investigated under active and passive controls of nanoparticles at the surface. The associating partial differential equations are converted into a set of nonlinear, ordinary differential equations using similarity conversions. Then, the equations are reduced to first-order differential equations before further being solved using the shooting method and bvp4c function in MATLAB. All results are presented in graphical and tabular forms. The buoyancy parameter causes the skin friction coefficient to increase in opposing flows but to decrease in assisting flows. In the absence of buoyancy force, there is no difference in the magnitude of the skin friction coefficient between active and passive controls of the nanoparticles. Stagnation has a bigger influence under passive control in enhancing the heat transfer rate as compared to when the fluid is under active control. Assisting flows have better heat and mass transfer rates with a lower magnitude of skin friction coefficient as compared to opposing flows. In this case, the nanofluid parameters, the Brownian motion, and thermophoresis altogether reduce the overall heat transfer rates of the non-Newtonian nanofluid.

Item Type: Article
Funders: Ministry of Education, Malaysia (FRGS/1/2020/STG06/UM/02/1 (FP009-2020))
Uncontrolled Keywords: Stagnation point; Powell-Eyring nanofluid; Zero mass flux; Vertical stretching sheet; Mixed convection
Subjects: Q Science > QA Mathematics
Divisions: Faculty of Science > Institute of Mathematical Sciences
Depositing User: Ms Zaharah Ramly
Date Deposited: 09 Jun 2022 07:57
Last Modified: 09 Jun 2022 07:57
URI: http://eprints.um.edu.my/id/eprint/27580

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