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Dual solutions and stability analysis of a hybrid nanofluid over a stretching/shrinking sheet executing MHD flow

In this paper, the unsteady magnetohydrodynamic (MHD) flow of hybrid nanofluid (HNF) composed of Cu−Al2O3 /water in the presence of a thermal radiation effect over the stretching/shrinking sheet is investigated. Using similarity transformation, the governing partial differential equations (PDEs) are...

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Main Authors: Lund, Liaquat Ali, Omar, Zurni, Khan, Ilyas, Sherif, El-Sayed M.
Format: Article
Language:English
Published: Multidisciplinary Digital Publishing Institute (MDPI) 2020
Subjects:
QA75 Electronic computers. Computer science
Online Access:http://repo.uum.edu.my/27920/1/S%2012%20276%202020%201%2014.pdf
http://repo.uum.edu.my/27920/
http://doi.org/10.3390/sym12020276
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spelling my.uum.repo.279202020-11-30T00:37:21Z http://repo.uum.edu.my/27920/ Dual solutions and stability analysis of a hybrid nanofluid over a stretching/shrinking sheet executing MHD flow Lund, Liaquat Ali Omar, Zurni Khan, Ilyas Sherif, El-Sayed M. QA75 Electronic computers. Computer science In this paper, the unsteady magnetohydrodynamic (MHD) flow of hybrid nanofluid (HNF) composed of Cu−Al2O3 /water in the presence of a thermal radiation effect over the stretching/shrinking sheet is investigated. Using similarity transformation, the governing partial differential equations (PDEs) are transformed into a system of ordinary differential equations (ODEs), which are then solved by using a shooting method. In order to validate the obtained numerical results, the comparison of the results with the published literature is made numerically as well as graphically and is found in good agreements. In addition, the effects of many emerging physical governing parameters on the profiles of velocity, temperature, skin friction coefficient, and heat transfer rate are demonstrated graphically and are elucidated theoretically. Based on the numerical results, dual solutions exist in a specific range of magnetic, suction, and unsteadiness parameters. It was also found that the values of f′′(0) rise in the first solution and reduce in the second solution when the solid volume fraction ϕCu is increased. Finally, the temporal stability analysis of the solutions is conducted, and it is concluded that only the first solution is stable. Multidisciplinary Digital Publishing Institute (MDPI) 2020 Article PeerReviewed application/pdf en http://repo.uum.edu.my/27920/1/S%2012%20276%202020%201%2014.pdf Lund, Liaquat Ali and Omar, Zurni and Khan, Ilyas and Sherif, El-Sayed M. (2020) Dual solutions and stability analysis of a hybrid nanofluid over a stretching/shrinking sheet executing MHD flow. Symmetry, 12 (276). pp. 1-14. ISSN 2073-8994 http://doi.org/10.3390/sym12020276 doi:10.3390/sym12020276
institution Universiti Utara Malaysia
building UUM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Utara Malaysia
content_source UUM Institutional Repository
url_provider http://repo.uum.edu.my/
language English
topic QA75 Electronic computers. Computer science
spellingShingle QA75 Electronic computers. Computer science
Lund, Liaquat Ali
Omar, Zurni
Khan, Ilyas
Sherif, El-Sayed M.
Dual solutions and stability analysis of a hybrid nanofluid over a stretching/shrinking sheet executing MHD flow
description In this paper, the unsteady magnetohydrodynamic (MHD) flow of hybrid nanofluid (HNF) composed of Cu−Al2O3 /water in the presence of a thermal radiation effect over the stretching/shrinking sheet is investigated. Using similarity transformation, the governing partial differential equations (PDEs) are transformed into a system of ordinary differential equations (ODEs), which are then solved by using a shooting method. In order to validate the obtained numerical results, the comparison of the results with the published literature is made numerically as well as graphically and is found in good agreements. In addition, the effects of many emerging physical governing parameters on the profiles of velocity, temperature, skin friction coefficient, and heat transfer rate are demonstrated graphically and are elucidated theoretically. Based on the numerical results, dual solutions exist in a specific range of magnetic, suction, and unsteadiness parameters. It was also found that the values of f′′(0) rise in the first solution and reduce in the second solution when the solid volume fraction ϕCu is increased. Finally, the temporal stability analysis of the solutions is conducted, and it is concluded that only the first solution is stable.
format Article
author Lund, Liaquat Ali
Omar, Zurni
Khan, Ilyas
Sherif, El-Sayed M.
author_facet Lund, Liaquat Ali
Omar, Zurni
Khan, Ilyas
Sherif, El-Sayed M.
author_sort Lund, Liaquat Ali
title Dual solutions and stability analysis of a hybrid nanofluid over a stretching/shrinking sheet executing MHD flow
title_short Dual solutions and stability analysis of a hybrid nanofluid over a stretching/shrinking sheet executing MHD flow
title_full Dual solutions and stability analysis of a hybrid nanofluid over a stretching/shrinking sheet executing MHD flow
title_fullStr Dual solutions and stability analysis of a hybrid nanofluid over a stretching/shrinking sheet executing MHD flow
title_full_unstemmed Dual solutions and stability analysis of a hybrid nanofluid over a stretching/shrinking sheet executing MHD flow
title_sort dual solutions and stability analysis of a hybrid nanofluid over a stretching/shrinking sheet executing mhd flow
publisher Multidisciplinary Digital Publishing Institute (MDPI)
publishDate 2020
url http://repo.uum.edu.my/27920/1/S%2012%20276%202020%201%2014.pdf
http://repo.uum.edu.my/27920/
http://doi.org/10.3390/sym12020276
_version_ 1685581072477192192
score 13.211869

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