Mixed Convection Stagnation Point Flow of a Hybrid Nanofluid Past a Permeable Flat Plate with Radiation Effect

Siti Nur Alwani Salleh, Norfifah Bachok and Ioan Pop
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Siti Nur Alwani Salleh: Faculty of Computer and Mathematical Sciences, Sungai Petani Campus, Universiti Teknologi MARA Kedah, Merbok 08400, Malaysia
Norfifah Bachok: Department of Mathematics and Statistics & Institute for Mathematical Research, Universiti Putra Malaysia (UPM), Serdang 43400, Malaysia
Ioan Pop: Department of Mathematics, Babes-Bolyai University, 400084 Cluj-Napoca, Romania

Mathematics, 2021, vol. 9, issue 21, 1-17

Abstract: This article focuses on the stagnation point flow of hybrid nanofluid towards a flat plate. The cases when the buoyancy forces and the flow are in the opposite direction and the same direction are discussed. The effect of radiation and suction is also taken into account. The similarity transformations are used to convert the partial differential equations into nonlinear ordinary differential equations. These equations are computed numerically via the bvp4c function in MATLAB software. A comparison with the previously published articles is carried out, where an outstanding agreement is observed. The dual solutions exist in the case of opposing flow ( ? < 0 ) and the suction parameter S > 0.6688 . Meanwhile, only unique solutions exist in the case of assisting flow ( ? > 0 ) . The existence of dual solutions leads to stability analysis. From the analysis, the first solution is confirmed as a stable solution. Furthermore, the heat transmission rate increases, while the skin friction coefficient decreases as the radiation rate increases. An increase in the radiation rate from 0 (no radiation) to 1.0 increases the heat transmission rate by 5.01 % for water, 4.96 % for nanofluid, and 4.80 % for hybrid nanofluid. Finally, it is worth mentioning that the present study yields new and original results. This study has also not been done by other researchers, indicating its novelty.

Keywords: hybrid nanofluid; mixed convection; numerical solution; permeable surface; stability analysis; radiation effect (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
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