Computational simulation of cross-flow of Williamson fluid over a porous shrinking/stretching surface comprising hybrid nanofluid and thermal radiation

Umair Khan; Aurang Zaib; Sakhinah Abu Bakar; Anuar Ishak; Dumitru Baleanu; El-Sayed M Sherif; Umair Khan; Aurang Zaib; Sakhinah Abu Bakar; Anuar Ishak; Dumitru Baleanu; El-Sayed M Sherif

doi:10.3934/math.2022362

AIMS Mathematics

2022, Volume 7, Issue 4: 6489-6515. doi: 10.3934/math.2022362

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Computational simulation of cross-flow of Williamson fluid over a porous shrinking/stretching surface comprising hybrid nanofluid and thermal radiation

1.
Department of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, UKM Bangi 43600, Selangor, Malaysia
2.
Department of Mathematics and Social Sciences, Sukkur IBA University, Sukkur 65200, Sindh, Pakistan
3.
Department of Mathematical Sciences, Federal Urdu University of Arts, Science & Technology, Gulshan-e-Iqbal Karachi 75300, Pakistan
4.
Department of Mathematics, Cankaya University, Ankara 06790, Turkey
5.
Institute of Space Sciences, Magurele 077125, Romania
6.
Department of Medical Research, China Medical University Hospital, China Medical University, Taichung 40447, Taiwan
7.
Mechanical Engineering Department, College of Engineering, King Saud University, Riyadh 11423, Saudi Arabia

Received: 26 November 2021 Revised: 28 December 2021 Accepted: 04 January 2022 Published: 20 January 2022
MSC : 76D05, 76A02, 65L10

Recent nanotechnology advancements have created a remarkable platform for the development of a better performance of ultrahigh coolant acknowledged as nanofluid for numerous industrial and engineering technologies. The current study aims to examine the boundary-layer cross-flow of Williamson fluid through a rotational stagnation point towards either a shrinking or stretching permeable wall incorporated by a hybrid nanofluid. The shape factors along with the radiation effect are also taken into account. The contained boundary layers are the type of stream-wise by shrinking/stretching process along with the sheet. Employing the suitable transformations, the partial differential equations (PDEs) are transmuted to similarity (ordinary) differential equations (ODEs). The transmuted system of ODEs is worked out by using a built-in package bvp4c in MATLAB for distinct values of pertaining parameters. Dual (first and second branch) outcomes are found for the shrinking surface. The results suggest that the inclusion of hybrid particles uplifts the drag force as well as the heat transfer in both solutions. In addition, the Weissenberg number accelerates the separation. Moreover, the effect of suction permits the friction factor and heat transfer to improve significantly at the porous shrinking/stretching sheet of hybrid nanofluid.
- Williamson fluid,
- cross-flow,
- hybrid nanofluid,
- thermal radiation,
- shrinking/stretching surface
Citation: Umair Khan, Aurang Zaib, Sakhinah Abu Bakar, Anuar Ishak, Dumitru Baleanu, El-Sayed M Sherif. Computational simulation of cross-flow of Williamson fluid over a porous shrinking/stretching surface comprising hybrid nanofluid and thermal radiation[J]. AIMS Mathematics, 2022, 7(4): 6489-6515. doi: 10.3934/math.2022362

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Abstract

Recent nanotechnology advancements have created a remarkable platform for the development of a better performance of ultrahigh coolant acknowledged as nanofluid for numerous industrial and engineering technologies. The current study aims to examine the boundary-layer cross-flow of Williamson fluid through a rotational stagnation point towards either a shrinking or stretching permeable wall incorporated by a hybrid nanofluid. The shape factors along with the radiation effect are also taken into account. The contained boundary layers are the type of stream-wise by shrinking/stretching process along with the sheet. Employing the suitable transformations, the partial differential equations (PDEs) are transmuted to similarity (ordinary) differential equations (ODEs). The transmuted system of ODEs is worked out by using a built-in package bvp4c in MATLAB for distinct values of pertaining parameters. Dual (first and second branch) outcomes are found for the shrinking surface. The results suggest that the inclusion of hybrid particles uplifts the drag force as well as the heat transfer in both solutions. In addition, the Weissenberg number accelerates the separation. Moreover, the effect of suction permits the friction factor and heat transfer to improve significantly at the porous shrinking/stretching sheet of hybrid nanofluid.

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