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Dual solutions on boundary-layer flow over a moving surface in a flowing nanofluid with second-order slip


Mohd Najib, Najwa and Bachok @ Lati, Norfifah and Md Ariffin, Norihan and Pop, Ioan (2020) Dual solutions on boundary-layer flow over a moving surface in a flowing nanofluid with second-order slip. Thermal Science, 24 (2 pt. B). 1117 - 1129. ISSN 0354-9836; ESSN: 2334-7163


The steady boundary-layer flow of a nanofluid past a moving semi-infinite flat plate in a uniform free stream in the presence of second order slip is studied using a second order slip flow model. The governing PDE are transformed into non-linear ODE by using appropriate similarity transformations, which are then solved numerically using bvp4c solver for different values of selected parameters. We found that the solutions existed for dual in a certain range of velocity ratio parameter. Therefore, a stability analysis has been analyzed to show which solutions are stable. The effects of velocity ratio parameter, Lewis number, Prandtl number, Brownian motion parameter, thermopherosis parameter, mass suction, first order slip parameter, and second order slip parameter on the skin friction coefficient, heat transfer coefficient, dimensionless velocity, temperature as well as nanoparticle volume fraction profiles are figured out graphically and discussed. These results reveals that the slip parameters expand the range of the solutions obtained. The increment of slip parameters lead to decrease the skin friction coefficient while increase the heat transfer coefficient. In addition, the value of Lewis nmber, Prandtl number, Brownian motion parameter, and thermopherosis parameter are significantly affected the heat transfer coefficient. Lastly, the first solution is stable and physically relevant, while the second solution is not.

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Additional Metadata

Item Type: Article
Divisions: Institute for Mathematical Research
DOI Number: https://doi.org/10.2298/TSCI180116205N
Publisher: Yugoslav Society of Heat Transfer Engineers
Keywords: Stability solution; Moving surface; Nanofluid; Second-order slip; Bvp4c; Brownian motion; Thermophoresis; Lewis number; Prandtl number
Depositing User: Ms. Nuraida Ibrahim
Date Deposited: 22 Dec 2021 08:51
Last Modified: 22 Dec 2021 08:51
Altmetrics: http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.2298/TSCI180116205N
URI: http://psasir.upm.edu.my/id/eprint/88534
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