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Stability analysis and dual solutions of micropolar nanofluid over the inclined stretching/shrinking surface with convective boundary condition

The present study accentuates the heat transfer characteristics of a convective condition of micropolar nanofluid on a permeable shrinking/stretching inclined surface. Brownian and thermophoresis effects are also involved to incorporate energy and concentration equations. Moreover, linear similarity...

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Main Authors: Lund, Liaquat Ali, Omar, Zurni, Khan, Umair, Khan, Ilyas, Baleanu, Dumitru, Nisar, Kottakkaran Sooppy
Format: Article
Language:English
Published: MDPI 2020
Subjects:
QA75 Electronic computers. Computer science
Online Access:http://repo.uum.edu.my/27307/1/S%2012%201%202020%201%2020.pdf
http://repo.uum.edu.my/27307/
http://doi.org/10.3390/sym12010074
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spelling my.uum.repo.273072020-07-30T02:28:31Z http://repo.uum.edu.my/27307/ Stability analysis and dual solutions of micropolar nanofluid over the inclined stretching/shrinking surface with convective boundary condition Lund, Liaquat Ali Omar, Zurni Khan, Umair Khan, Ilyas Baleanu, Dumitru Nisar, Kottakkaran Sooppy QA75 Electronic computers. Computer science The present study accentuates the heat transfer characteristics of a convective condition of micropolar nanofluid on a permeable shrinking/stretching inclined surface. Brownian and thermophoresis effects are also involved to incorporate energy and concentration equations. Moreover, linear similarity transformation has been used to transform the system of governing partial differential equations (PDEs) into a set of nonlinear ordinary differential equations (ODEs). The numerical comparison has been done with the previously published results and found in good agreement graphically and tabular form by using the shooting method in MAPLE software. Dual solutions have been found in the specific range of shrinking/stretching surface parameters and the mass suction parameter for the opposing flow case. Moreover, the skin friction coefficient, the heat transfer coefficient, the couple stress coefficient, and the concentration transfer rate decelerate in both solutions against the mass suction parameter for the augmentation of the micropolar parameter respectively. The first (second) solution is the stable (unstable) solution and can (not) be considered as a real solution as the values of the smallest eigenvalues are positive (negative). MDPI 2020 Article PeerReviewed application/pdf en http://repo.uum.edu.my/27307/1/S%2012%201%202020%201%2020.pdf Lund, Liaquat Ali and Omar, Zurni and Khan, Umair and Khan, Ilyas and Baleanu, Dumitru and Nisar, Kottakkaran Sooppy (2020) Stability analysis and dual solutions of micropolar nanofluid over the inclined stretching/shrinking surface with convective boundary condition. Symmetry, 12 (74). pp. 1-20. ISSN 2073-8994 http://doi.org/10.3390/sym12010074 doi:10.3390/sym12010074
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, Umair
Khan, Ilyas
Baleanu, Dumitru
Nisar, Kottakkaran Sooppy
Stability analysis and dual solutions of micropolar nanofluid over the inclined stretching/shrinking surface with convective boundary condition
description The present study accentuates the heat transfer characteristics of a convective condition of micropolar nanofluid on a permeable shrinking/stretching inclined surface. Brownian and thermophoresis effects are also involved to incorporate energy and concentration equations. Moreover, linear similarity transformation has been used to transform the system of governing partial differential equations (PDEs) into a set of nonlinear ordinary differential equations (ODEs). The numerical comparison has been done with the previously published results and found in good agreement graphically and tabular form by using the shooting method in MAPLE software. Dual solutions have been found in the specific range of shrinking/stretching surface parameters and the mass suction parameter for the opposing flow case. Moreover, the skin friction coefficient, the heat transfer coefficient, the couple stress coefficient, and the concentration transfer rate decelerate in both solutions against the mass suction parameter for the augmentation of the micropolar parameter respectively. The first (second) solution is the stable (unstable) solution and can (not) be considered as a real solution as the values of the smallest eigenvalues are positive (negative).
format Article
author Lund, Liaquat Ali
Omar, Zurni
Khan, Umair
Khan, Ilyas
Baleanu, Dumitru
Nisar, Kottakkaran Sooppy
author_facet Lund, Liaquat Ali
Omar, Zurni
Khan, Umair
Khan, Ilyas
Baleanu, Dumitru
Nisar, Kottakkaran Sooppy
author_sort Lund, Liaquat Ali
title Stability analysis and dual solutions of micropolar nanofluid over the inclined stretching/shrinking surface with convective boundary condition
title_short Stability analysis and dual solutions of micropolar nanofluid over the inclined stretching/shrinking surface with convective boundary condition
title_full Stability analysis and dual solutions of micropolar nanofluid over the inclined stretching/shrinking surface with convective boundary condition
title_fullStr Stability analysis and dual solutions of micropolar nanofluid over the inclined stretching/shrinking surface with convective boundary condition
title_full_unstemmed Stability analysis and dual solutions of micropolar nanofluid over the inclined stretching/shrinking surface with convective boundary condition
title_sort stability analysis and dual solutions of micropolar nanofluid over the inclined stretching/shrinking surface with convective boundary condition
publisher MDPI
publishDate 2020
url http://repo.uum.edu.my/27307/1/S%2012%201%202020%201%2020.pdf
http://repo.uum.edu.my/27307/
http://doi.org/10.3390/sym12010074
_version_ 1674068766285103104
score 13.211869

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