Second-order slip flow of a magnetohydrodynamic hybrid nanofluid past a bi-directional stretching surface with thermal convective and zero mass flux conditions

The nanoliquid concept has variety of applications toward biomedicine, heat exchangers, cooling of electrical devices, foods, and transportation. It is important to add various kinds of solid nanoparticles, such as silica, copper, silver, alumina, graphene, gold, and so on to the base fluids to incr...

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Main Authors: Ishtiaq Khan, Amin Ur Rahman, Abdullah Dawar, Saeed Islam, Aiman Zaman
Format: Article
Language:English
Published: SAGE Publishing 2023-02-01
Series:Advances in Mechanical Engineering
Online Access:https://doi.org/10.1177/16878132221149894
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author Ishtiaq Khan
Amin Ur Rahman
Abdullah Dawar
Saeed Islam
Aiman Zaman
author_facet Ishtiaq Khan
Amin Ur Rahman
Abdullah Dawar
Saeed Islam
Aiman Zaman
author_sort Ishtiaq Khan
collection DOAJ
description The nanoliquid concept has variety of applications toward biomedicine, heat exchangers, cooling of electrical devices, foods, and transportation. It is important to add various kinds of solid nanoparticles, such as silica, copper, silver, alumina, graphene, gold, and so on to the base fluids to increase the thermal efficiency of common fluids like engine oil, kerosene oil, water, sodium alginate, etc. This research explores the second-order slip flow of a Cu-Fe 3 O 4 /H 2 O past a bi-directional stretching surface. The current research takes into account the conditions of thermal convection, zero mass flux, and velocity slips. It is important to note that the hybrid nanoliquid flow’s wall mass transfer rate is eliminated by the zero mass flux at the wall. Furthermore, a strong magnetic field, thermophoresis, activation energy, exponential heating, chemical reaction, and Brownian motion are also studied. The mathematical framework of this report is presented in the form of PDEs which are then converted into ODEs via appropriate similarity transformations. A semi-analytical method called HAM, is used in order to solve the transformed ODEs. The convergence of HAM is shown with the help of Table. The impacts of physical parameters on the flow distributions are shown with the help of Tables and Figures. The findings of this study demonstrate that the velocity distributions of the hybrid nanofluid flow are decreased as the magnetic constraint is augmented. The ratio parameter has an inverse relationship to the primary velocity and has direct relationship to the secondary velocity. The energy profile has augmented due to the higher thermal Biot number. The present analysis is validated by comparing the new results with reported results.
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spelling doaj.art-a236d3bf38e14c87b6e3f74d052208f52023-02-18T10:03:16ZengSAGE PublishingAdvances in Mechanical Engineering1687-81402023-02-011510.1177/16878132221149894Second-order slip flow of a magnetohydrodynamic hybrid nanofluid past a bi-directional stretching surface with thermal convective and zero mass flux conditionsIshtiaq Khan0Amin Ur Rahman1Abdullah Dawar2Saeed Islam3Aiman Zaman4Department of Physics, Faculty of Engineering and Applied Sciences, Riphah International University, Islamabad, PakistanDepartment of Physics, Faculty of Engineering and Applied Sciences, Riphah International University, Islamabad, PakistanDepartment of Mathematics, Abdul Wali Khan University, Mardan, PakistanDepartment of Mathematics, Abdul Wali Khan University, Mardan, PakistanDepartment of Physics, Abdul Wali Khan University, Mardan, PakistanThe nanoliquid concept has variety of applications toward biomedicine, heat exchangers, cooling of electrical devices, foods, and transportation. It is important to add various kinds of solid nanoparticles, such as silica, copper, silver, alumina, graphene, gold, and so on to the base fluids to increase the thermal efficiency of common fluids like engine oil, kerosene oil, water, sodium alginate, etc. This research explores the second-order slip flow of a Cu-Fe 3 O 4 /H 2 O past a bi-directional stretching surface. The current research takes into account the conditions of thermal convection, zero mass flux, and velocity slips. It is important to note that the hybrid nanoliquid flow’s wall mass transfer rate is eliminated by the zero mass flux at the wall. Furthermore, a strong magnetic field, thermophoresis, activation energy, exponential heating, chemical reaction, and Brownian motion are also studied. The mathematical framework of this report is presented in the form of PDEs which are then converted into ODEs via appropriate similarity transformations. A semi-analytical method called HAM, is used in order to solve the transformed ODEs. The convergence of HAM is shown with the help of Table. The impacts of physical parameters on the flow distributions are shown with the help of Tables and Figures. The findings of this study demonstrate that the velocity distributions of the hybrid nanofluid flow are decreased as the magnetic constraint is augmented. The ratio parameter has an inverse relationship to the primary velocity and has direct relationship to the secondary velocity. The energy profile has augmented due to the higher thermal Biot number. The present analysis is validated by comparing the new results with reported results.https://doi.org/10.1177/16878132221149894
spellingShingle Ishtiaq Khan
Amin Ur Rahman
Abdullah Dawar
Saeed Islam
Aiman Zaman
Second-order slip flow of a magnetohydrodynamic hybrid nanofluid past a bi-directional stretching surface with thermal convective and zero mass flux conditions
Advances in Mechanical Engineering
title Second-order slip flow of a magnetohydrodynamic hybrid nanofluid past a bi-directional stretching surface with thermal convective and zero mass flux conditions
title_full Second-order slip flow of a magnetohydrodynamic hybrid nanofluid past a bi-directional stretching surface with thermal convective and zero mass flux conditions
title_fullStr Second-order slip flow of a magnetohydrodynamic hybrid nanofluid past a bi-directional stretching surface with thermal convective and zero mass flux conditions
title_full_unstemmed Second-order slip flow of a magnetohydrodynamic hybrid nanofluid past a bi-directional stretching surface with thermal convective and zero mass flux conditions
title_short Second-order slip flow of a magnetohydrodynamic hybrid nanofluid past a bi-directional stretching surface with thermal convective and zero mass flux conditions
title_sort second order slip flow of a magnetohydrodynamic hybrid nanofluid past a bi directional stretching surface with thermal convective and zero mass flux conditions
url https://doi.org/10.1177/16878132221149894
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