Rotating 3D flow of hybrid nanofluid on exponentially shrinking sheet: Symmetrical solution and duality

This article aims to study numerically the rotating, steady, and three-dimensional (3D) flow of a hybrid nanofluid over an exponentially shrinking sheet with the suction effect. We considered water as base fluid and alumina (Al2O3), and copper (Cu) as solid nanoparticles. The system of governing par...

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Main Authors: Lund, Liaquat Ali, Omar, Zurni, Dero, Sumera, Baleanu, Dumitru, Khan, Ilyas
Format: Article
Language:English
Published: Multidisciplinary Digital Publishing Institute 2020
Subjects:
Online Access:https://repo.uum.edu.my/id/eprint/27928/1/S%2012%201637%202020%201%2014.pdf
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author Lund, Liaquat Ali
Omar, Zurni
Dero, Sumera
Baleanu, Dumitru
Khan, Ilyas
author_facet Lund, Liaquat Ali
Omar, Zurni
Dero, Sumera
Baleanu, Dumitru
Khan, Ilyas
author_sort Lund, Liaquat Ali
collection UUM
description This article aims to study numerically the rotating, steady, and three-dimensional (3D) flow of a hybrid nanofluid over an exponentially shrinking sheet with the suction effect. We considered water as base fluid and alumina (Al2O3), and copper (Cu) as solid nanoparticles. The system of governing partial differential equations (PDEs) was transformed by an exponential similarity variable into the equivalent system of ordinary differential equations (ODEs). By applying a three-stage Labatto III-A method that is available in bvp4c solver in the Matlab software, the resultant system of ODEs was solved numerically. In the case of the hybrid nanofluid, the heat transfer rate improves relative to the viscous fluid and regular nanofluid. Two branches were obtained in certain ranges of the involved parameters. The results of the stability analysis revealed that the upper branch is stable. Moreover, the results also indicated that the equations of the hybrid nanofluid have a symmetrical solution for different values of the rotation parameter (Ω).
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spelling uum-279282020-11-30T01:15:33Z https://repo.uum.edu.my/id/eprint/27928/ Rotating 3D flow of hybrid nanofluid on exponentially shrinking sheet: Symmetrical solution and duality Lund, Liaquat Ali Omar, Zurni Dero, Sumera Baleanu, Dumitru Khan, Ilyas QA75 Electronic computers. Computer science This article aims to study numerically the rotating, steady, and three-dimensional (3D) flow of a hybrid nanofluid over an exponentially shrinking sheet with the suction effect. We considered water as base fluid and alumina (Al2O3), and copper (Cu) as solid nanoparticles. The system of governing partial differential equations (PDEs) was transformed by an exponential similarity variable into the equivalent system of ordinary differential equations (ODEs). By applying a three-stage Labatto III-A method that is available in bvp4c solver in the Matlab software, the resultant system of ODEs was solved numerically. In the case of the hybrid nanofluid, the heat transfer rate improves relative to the viscous fluid and regular nanofluid. Two branches were obtained in certain ranges of the involved parameters. The results of the stability analysis revealed that the upper branch is stable. Moreover, the results also indicated that the equations of the hybrid nanofluid have a symmetrical solution for different values of the rotation parameter (Ω). Multidisciplinary Digital Publishing Institute 2020 Article PeerReviewed application/pdf en https://repo.uum.edu.my/id/eprint/27928/1/S%2012%201637%202020%201%2014.pdf Lund, Liaquat Ali and Omar, Zurni and Dero, Sumera and Baleanu, Dumitru and Khan, Ilyas (2020) Rotating 3D flow of hybrid nanofluid on exponentially shrinking sheet: Symmetrical solution and duality. Symmetry, 12 (1637). pp. 1-14. ISSN 2073-8994 http://doi.org/10.3390/sym12101637 doi:10.3390/sym12101637 doi:10.3390/sym12101637
spellingShingle QA75 Electronic computers. Computer science
Lund, Liaquat Ali
Omar, Zurni
Dero, Sumera
Baleanu, Dumitru
Khan, Ilyas
Rotating 3D flow of hybrid nanofluid on exponentially shrinking sheet: Symmetrical solution and duality
title Rotating 3D flow of hybrid nanofluid on exponentially shrinking sheet: Symmetrical solution and duality
title_full Rotating 3D flow of hybrid nanofluid on exponentially shrinking sheet: Symmetrical solution and duality
title_fullStr Rotating 3D flow of hybrid nanofluid on exponentially shrinking sheet: Symmetrical solution and duality
title_full_unstemmed Rotating 3D flow of hybrid nanofluid on exponentially shrinking sheet: Symmetrical solution and duality
title_short Rotating 3D flow of hybrid nanofluid on exponentially shrinking sheet: Symmetrical solution and duality
title_sort rotating 3d flow of hybrid nanofluid on exponentially shrinking sheet symmetrical solution and duality
topic QA75 Electronic computers. Computer science
url https://repo.uum.edu.my/id/eprint/27928/1/S%2012%201637%202020%201%2014.pdf
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AT derosumera rotating3dflowofhybridnanofluidonexponentiallyshrinkingsheetsymmetricalsolutionandduality
AT baleanudumitru rotating3dflowofhybridnanofluidonexponentiallyshrinkingsheetsymmetricalsolutionandduality
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