Darcy–Forchheimer couple stress hybrid nanofluids flow with variable fluid properties

Abstract The current study provides a detailed analysis of steady two-dimensional incompressible and electrically conducting magnetohydrodynamic flow of a couple stress hybrid nanofluid under the influence of Darcy–Forchheimer, viscous dissipation, joule heating, heat generation, chemical reaction,...

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Main Authors: Anwar Saeed, Poom Kumam, Taza Gul, Wajdi Alghamdi, Wiyada Kumam, Amir Khan
Format: Article
Language:English
Published: Nature Portfolio 2021-10-01
Series:Scientific Reports
Online Access:https://doi.org/10.1038/s41598-021-98891-z
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author Anwar Saeed
Poom Kumam
Taza Gul
Wajdi Alghamdi
Wiyada Kumam
Amir Khan
author_facet Anwar Saeed
Poom Kumam
Taza Gul
Wajdi Alghamdi
Wiyada Kumam
Amir Khan
author_sort Anwar Saeed
collection DOAJ
description Abstract The current study provides a detailed analysis of steady two-dimensional incompressible and electrically conducting magnetohydrodynamic flow of a couple stress hybrid nanofluid under the influence of Darcy–Forchheimer, viscous dissipation, joule heating, heat generation, chemical reaction, and variable viscosity. The system of partial differential equations of the current model (equation of motion, energy, and concentration) is converted into a system of ordinary differential equations by adopting the suitable similarity practice. Analytically, homotopy analysis method (HAM) is employed to solve the obtained set of equations. The impact of permeability, couple-stress and magnetic parameters on axial velocity, mean critical reflux condition and mean velocity on the channel walls are discussed in details. Computational effects show that the axial mean velocity at the boundary has an inverse relation with couple stress parameter while the permeability parameter has a direct relation with the magnetic parameter and vice versa. The enhancement in the temperature distribution evaluates the pH values and electric conductivity. Therefore, the $$SWCNTs\,\,{\text{and}}\,\,MWCNTs$$ S W C N T s and M W C N T s hybrid nanofluids are used in this study for medication purpose.
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spelling doaj.art-62e10c82bd274000bdaa57ca2423d4362022-12-21T19:27:58ZengNature PortfolioScientific Reports2045-23222021-10-0111111310.1038/s41598-021-98891-zDarcy–Forchheimer couple stress hybrid nanofluids flow with variable fluid propertiesAnwar Saeed0Poom Kumam1Taza Gul2Wajdi Alghamdi3Wiyada Kumam4Amir Khan5Center of Excellence in Theoretical and Computational Science (TaCS-CoE), Faculty of Science, King Mongkut’s University of Technology Thonburi (KMUTT)Center of Excellence in Theoretical and Computational Science (TaCS-CoE), Faculty of Science, King Mongkut’s University of Technology Thonburi (KMUTT)Department of Mathematics, City University of Science and Information TechnologyDepartment of Information Technology, Faculty of Computing and Information Technology, King Abdulaziz UniversityApplied Mathematics for Science and Engineering Research Unit (AMSERU), Program in Applied Statistics, Department of Mathematics and Computer Science, Faculty of Science and Technology, Rajamangala University of Technology ThanyaburiDepartment of Mathematics and Statistics, University Of SwatAbstract The current study provides a detailed analysis of steady two-dimensional incompressible and electrically conducting magnetohydrodynamic flow of a couple stress hybrid nanofluid under the influence of Darcy–Forchheimer, viscous dissipation, joule heating, heat generation, chemical reaction, and variable viscosity. The system of partial differential equations of the current model (equation of motion, energy, and concentration) is converted into a system of ordinary differential equations by adopting the suitable similarity practice. Analytically, homotopy analysis method (HAM) is employed to solve the obtained set of equations. The impact of permeability, couple-stress and magnetic parameters on axial velocity, mean critical reflux condition and mean velocity on the channel walls are discussed in details. Computational effects show that the axial mean velocity at the boundary has an inverse relation with couple stress parameter while the permeability parameter has a direct relation with the magnetic parameter and vice versa. The enhancement in the temperature distribution evaluates the pH values and electric conductivity. Therefore, the $$SWCNTs\,\,{\text{and}}\,\,MWCNTs$$ S W C N T s and M W C N T s hybrid nanofluids are used in this study for medication purpose.https://doi.org/10.1038/s41598-021-98891-z
spellingShingle Anwar Saeed
Poom Kumam
Taza Gul
Wajdi Alghamdi
Wiyada Kumam
Amir Khan
Darcy–Forchheimer couple stress hybrid nanofluids flow with variable fluid properties
Scientific Reports
title Darcy–Forchheimer couple stress hybrid nanofluids flow with variable fluid properties
title_full Darcy–Forchheimer couple stress hybrid nanofluids flow with variable fluid properties
title_fullStr Darcy–Forchheimer couple stress hybrid nanofluids flow with variable fluid properties
title_full_unstemmed Darcy–Forchheimer couple stress hybrid nanofluids flow with variable fluid properties
title_short Darcy–Forchheimer couple stress hybrid nanofluids flow with variable fluid properties
title_sort darcy forchheimer couple stress hybrid nanofluids flow with variable fluid properties
url https://doi.org/10.1038/s41598-021-98891-z
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