Unsteady MHD stagnation point flow induced by exponentially permeable stretching/shrinking sheet of hybrid nanofluid

Boundary layer flow in the industrial applications such as extrusion processes is attributable to impulsive movement of an extensible moving surface. However, the velocity of the extruded surface may not necessarily be linear. Hence, this study proposes a unique model to investigate the unsteady sta...

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Main Authors: Nurul Amira Zainal, Roslinda Nazar, Kohilavani Naganthran, Ioan Pop
Format: Article
Language:English
Published: Elsevier 2021-10-01
Series:Engineering Science and Technology, an International Journal
Subjects:
MHD
Online Access:http://www.sciencedirect.com/science/article/pii/S221509862100029X
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spelling doaj-c6dc2d390fc844069bf32d408ed372812021-07-09T04:44:22ZengElsevierEngineering Science and Technology, an International Journal2215-09862021-10-0124512011210Unsteady MHD stagnation point flow induced by exponentially permeable stretching/shrinking sheet of hybrid nanofluidNurul Amira Zainal0Roslinda Nazar1Kohilavani Naganthran2Ioan Pop3Department of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, 43600 UKM Bangi, Selangor, Malaysia; Fakulti Teknologi Kejuruteraan Mekanikal dan Pembuatan, Universiti Teknikal Malaysia Melaka, Hang Tuah Jaya, 76100 Durian Tunggal, Melaka, MalaysiaDepartment of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, 43600 UKM Bangi, Selangor, MalaysiaDepartment of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, 43600 UKM Bangi, Selangor, Malaysia; Corresponding author.Department of Mathematics, Babeş-Bolyai University, R-400084 Cluj-Napoca, RomaniaBoundary layer flow in the industrial applications such as extrusion processes is attributable to impulsive movement of an extensible moving surface. However, the velocity of the extruded surface may not necessarily be linear. Hence, this study proposes a unique model to investigate the unsteady stagnation point flow in hybrid nanofluid (Al2O3-Cu/H2O) induced by exponentially permeable stretching/shrinking sheet with the magnetic field. The system of ordinary differential equations is attained through a simplification of governing partial differential equations by employing appropriate similarity transformation. The numerical computation is determined by utilising the bvp4c procedure in the MATLAB program, which is proficient in generating non-uniqueness solutions. The noteworthy findings revealed that the skin friction coefficient intensifies in conjunction with the local Nusselt number by enhancing the suction/injection parameter and the nanoparticles volume fraction past an exponentially stretching/shrinking sheet. The results also signified that the increment in the unsteady parameter conclusively increases the skin friction coefficient, and the heat transfer rate shows an upsurge attribution resulting from the inclusion of the magnetic parameter towards an exponentially shrinking sheet. Also, the results are evidenced by having dual solutions, which ultimately lead to an investigation of the analysis of the solution stability, thereby validating the feasibility of the first solution. This crucial contribution will help to enhance industrial growth, especially in the manufacturing and processing sectors.http://www.sciencedirect.com/science/article/pii/S221509862100029XHybrid nanofluidUnsteady stagnation pointExponentially stretching/shrinkingMHDStability analysis
collection DOAJ
language English
format Article
sources DOAJ
author Nurul Amira Zainal
Roslinda Nazar
Kohilavani Naganthran
Ioan Pop
spellingShingle Nurul Amira Zainal
Roslinda Nazar
Kohilavani Naganthran
Ioan Pop
Unsteady MHD stagnation point flow induced by exponentially permeable stretching/shrinking sheet of hybrid nanofluid
Engineering Science and Technology, an International Journal
Hybrid nanofluid
Unsteady stagnation point
Exponentially stretching/shrinking
MHD
Stability analysis
author_facet Nurul Amira Zainal
Roslinda Nazar
Kohilavani Naganthran
Ioan Pop
author_sort Nurul Amira Zainal
title Unsteady MHD stagnation point flow induced by exponentially permeable stretching/shrinking sheet of hybrid nanofluid
title_short Unsteady MHD stagnation point flow induced by exponentially permeable stretching/shrinking sheet of hybrid nanofluid
title_full Unsteady MHD stagnation point flow induced by exponentially permeable stretching/shrinking sheet of hybrid nanofluid
title_fullStr Unsteady MHD stagnation point flow induced by exponentially permeable stretching/shrinking sheet of hybrid nanofluid
title_full_unstemmed Unsteady MHD stagnation point flow induced by exponentially permeable stretching/shrinking sheet of hybrid nanofluid
title_sort unsteady mhd stagnation point flow induced by exponentially permeable stretching/shrinking sheet of hybrid nanofluid
publisher Elsevier
series Engineering Science and Technology, an International Journal
issn 2215-0986
publishDate 2021-10-01
description Boundary layer flow in the industrial applications such as extrusion processes is attributable to impulsive movement of an extensible moving surface. However, the velocity of the extruded surface may not necessarily be linear. Hence, this study proposes a unique model to investigate the unsteady stagnation point flow in hybrid nanofluid (Al2O3-Cu/H2O) induced by exponentially permeable stretching/shrinking sheet with the magnetic field. The system of ordinary differential equations is attained through a simplification of governing partial differential equations by employing appropriate similarity transformation. The numerical computation is determined by utilising the bvp4c procedure in the MATLAB program, which is proficient in generating non-uniqueness solutions. The noteworthy findings revealed that the skin friction coefficient intensifies in conjunction with the local Nusselt number by enhancing the suction/injection parameter and the nanoparticles volume fraction past an exponentially stretching/shrinking sheet. The results also signified that the increment in the unsteady parameter conclusively increases the skin friction coefficient, and the heat transfer rate shows an upsurge attribution resulting from the inclusion of the magnetic parameter towards an exponentially shrinking sheet. Also, the results are evidenced by having dual solutions, which ultimately lead to an investigation of the analysis of the solution stability, thereby validating the feasibility of the first solution. This crucial contribution will help to enhance industrial growth, especially in the manufacturing and processing sectors.
topic Hybrid nanofluid
Unsteady stagnation point
Exponentially stretching/shrinking
MHD
Stability analysis
url http://www.sciencedirect.com/science/article/pii/S221509862100029X
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