Unsteady MHD Mixed Convection Flow in Hybrid Nanofluid at Three-Dimensional Stagnation Point

There has been significant interest in exploring a stagnation point flow due to its numerous potential uses in engineering applications such as cooling of nuclear reactors. Hence, this study proposed a numerical analysis on the unsteady magnetohydrodynamic (MHD) mixed convection at three-dimensional...

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Main Authors: Nurul Amira Zainal, Roslinda Nazar, Kohilavani Naganthran, Ioan Pop
Format: Article
Language:English
Published: MDPI AG 2021-03-01
Series:Mathematics
Subjects:
Online Access:https://www.mdpi.com/2227-7390/9/5/549
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author Nurul Amira Zainal
Roslinda Nazar
Kohilavani Naganthran
Ioan Pop
author_facet Nurul Amira Zainal
Roslinda Nazar
Kohilavani Naganthran
Ioan Pop
author_sort Nurul Amira Zainal
collection DOAJ
description There has been significant interest in exploring a stagnation point flow due to its numerous potential uses in engineering applications such as cooling of nuclear reactors. Hence, this study proposed a numerical analysis on the unsteady magnetohydrodynamic (MHD) mixed convection at three-dimensional stagnation point flow in Al<sub>2</sub>O<sub>3</sub>–Cu/H<sub>2</sub>O hybrid nanofluid over a permeable sheet. The ordinary differential equations are accomplished by simplifying the governing partial differential equations through suitable similarity transformation. The numerical computation is established by the MATLAB system software using the bvp4c technique. The bvp4c procedure is excellent in providing more than one solution once sufficient predictions are visible. The influence of certain functioning parameters is inspected, and notable results exposed that the rate of heat transfer is exaggerated along with the skin friction coefficient while the suction/injection and magnetic parameters are intensified. The results also signified that the rise in the volume fraction of the nanoparticle and the decline of the unsteadiness parameter demonstrates a downward attribution towards the heat transfer performance and skin friction coefficient. Conclusively, the observations are confirmed to have multiple solutions, which eventually contribute to an investigation of the analysis of the solution stability, thereby justifying the viability of the first solution.
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spelling doaj.art-c0205d73c4c94376b4779b83dc7744e92023-12-03T12:43:21ZengMDPI AGMathematics2227-73902021-03-019554910.3390/math9050549Unsteady MHD Mixed Convection Flow in Hybrid Nanofluid at Three-Dimensional Stagnation PointNurul Amira Zainal0Roslinda Nazar1Kohilavani Naganthran2Ioan Pop3Department of Mathematical Sciences, Faculty of Science Technology, Universiti Kebangsaan Malaysia, 43600 UKM, Bangi 43600, Selangor, MalaysiaDepartment of Mathematical Sciences, Faculty of Science Technology, Universiti Kebangsaan Malaysia, 43600 UKM, Bangi 43600, Selangor, MalaysiaDepartment of Mathematical Sciences, Faculty of Science Technology, Universiti Kebangsaan Malaysia, 43600 UKM, Bangi 43600, Selangor, MalaysiaDepartment of Mathematics, Babeş-Bolyai University, R-400084 Cluj-Napoca, RomaniaThere has been significant interest in exploring a stagnation point flow due to its numerous potential uses in engineering applications such as cooling of nuclear reactors. Hence, this study proposed a numerical analysis on the unsteady magnetohydrodynamic (MHD) mixed convection at three-dimensional stagnation point flow in Al<sub>2</sub>O<sub>3</sub>–Cu/H<sub>2</sub>O hybrid nanofluid over a permeable sheet. The ordinary differential equations are accomplished by simplifying the governing partial differential equations through suitable similarity transformation. The numerical computation is established by the MATLAB system software using the bvp4c technique. The bvp4c procedure is excellent in providing more than one solution once sufficient predictions are visible. The influence of certain functioning parameters is inspected, and notable results exposed that the rate of heat transfer is exaggerated along with the skin friction coefficient while the suction/injection and magnetic parameters are intensified. The results also signified that the rise in the volume fraction of the nanoparticle and the decline of the unsteadiness parameter demonstrates a downward attribution towards the heat transfer performance and skin friction coefficient. Conclusively, the observations are confirmed to have multiple solutions, which eventually contribute to an investigation of the analysis of the solution stability, thereby justifying the viability of the first solution.https://www.mdpi.com/2227-7390/9/5/549magnetohydrodynamicstagnation pointstability analysishybrid nanofluidmixed convection
spellingShingle Nurul Amira Zainal
Roslinda Nazar
Kohilavani Naganthran
Ioan Pop
Unsteady MHD Mixed Convection Flow in Hybrid Nanofluid at Three-Dimensional Stagnation Point
Mathematics
magnetohydrodynamic
stagnation point
stability analysis
hybrid nanofluid
mixed convection
title Unsteady MHD Mixed Convection Flow in Hybrid Nanofluid at Three-Dimensional Stagnation Point
title_full Unsteady MHD Mixed Convection Flow in Hybrid Nanofluid at Three-Dimensional Stagnation Point
title_fullStr Unsteady MHD Mixed Convection Flow in Hybrid Nanofluid at Three-Dimensional Stagnation Point
title_full_unstemmed Unsteady MHD Mixed Convection Flow in Hybrid Nanofluid at Three-Dimensional Stagnation Point
title_short Unsteady MHD Mixed Convection Flow in Hybrid Nanofluid at Three-Dimensional Stagnation Point
title_sort unsteady mhd mixed convection flow in hybrid nanofluid at three dimensional stagnation point
topic magnetohydrodynamic
stagnation point
stability analysis
hybrid nanofluid
mixed convection
url https://www.mdpi.com/2227-7390/9/5/549
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AT kohilavaninaganthran unsteadymhdmixedconvectionflowinhybridnanofluidatthreedimensionalstagnationpoint
AT ioanpop unsteadymhdmixedconvectionflowinhybridnanofluidatthreedimensionalstagnationpoint