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Triple solutions and stability analysis of micropolar fluid flow on an exponentially shrinking surface

In this article, we reconsidered the problem of Aurangzaib et al., and reproduced the results for triple solutions. The system of governing equations has been transformed into the system of non-linear ordinary differential equations (ODEs) by using exponential similarity transformation. The system o...

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Main Authors: Lund, Liaquat Ali, Omar, Zurni, Khan, Ilyas, Baleanu, Dumitru, Nisar, Kottakkaran Sooppy
Format: Article
Published: MDPI 2020
Subjects:
QA75 Electronic computers. Computer science
Online Access:http://repo.uum.edu.my/27926/
https://www.mdpi.com/2073-4352/10/4/283
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spelling my.uum.repo.279262020-11-30T01:11:27Z http://repo.uum.edu.my/27926/ Triple solutions and stability analysis of micropolar fluid flow on an exponentially shrinking surface Lund, Liaquat Ali Omar, Zurni Khan, Ilyas Baleanu, Dumitru Nisar, Kottakkaran Sooppy QA75 Electronic computers. Computer science In this article, we reconsidered the problem of Aurangzaib et al., and reproduced the results for triple solutions. The system of governing equations has been transformed into the system of non-linear ordinary differential equations (ODEs) by using exponential similarity transformation. The system of ODEs is reduced to initial value problems (IVPs) by employing the shooting method before solving IVPs by the Runge Kutta method. The results reveal that there are ranges of multiple solutions, triple solutions, and a single solution. However, Aurangzaib et al., only found dual solutions. The effect of the micropolar parameter, suction parameter, and Prandtl number on velocity, angular velocity, and temperature profiles have been taken into account. Stability analysis of triple solutions is performed and found that a physically possible stable solution is the first one, while all leftover solutions are not stable and cannot be experimentally seen. MDPI 2020 Article PeerReviewed Lund, Liaquat Ali and Omar, Zurni and Khan, Ilyas and Baleanu, Dumitru and Nisar, Kottakkaran Sooppy (2020) Triple solutions and stability analysis of micropolar fluid flow on an exponentially shrinking surface. Crystals, 10 (4). pp. 1-14. ISSN 2073-4352 https://www.mdpi.com/2073-4352/10/4/283
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/
topic QA75 Electronic computers. Computer science
spellingShingle QA75 Electronic computers. Computer science
Lund, Liaquat Ali
Omar, Zurni
Khan, Ilyas
Baleanu, Dumitru
Nisar, Kottakkaran Sooppy
Triple solutions and stability analysis of micropolar fluid flow on an exponentially shrinking surface
description In this article, we reconsidered the problem of Aurangzaib et al., and reproduced the results for triple solutions. The system of governing equations has been transformed into the system of non-linear ordinary differential equations (ODEs) by using exponential similarity transformation. The system of ODEs is reduced to initial value problems (IVPs) by employing the shooting method before solving IVPs by the Runge Kutta method. The results reveal that there are ranges of multiple solutions, triple solutions, and a single solution. However, Aurangzaib et al., only found dual solutions. The effect of the micropolar parameter, suction parameter, and Prandtl number on velocity, angular velocity, and temperature profiles have been taken into account. Stability analysis of triple solutions is performed and found that a physically possible stable solution is the first one, while all leftover solutions are not stable and cannot be experimentally seen.
format Article
author Lund, Liaquat Ali
Omar, Zurni
Khan, Ilyas
Baleanu, Dumitru
Nisar, Kottakkaran Sooppy
author_facet Lund, Liaquat Ali
Omar, Zurni
Khan, Ilyas
Baleanu, Dumitru
Nisar, Kottakkaran Sooppy
author_sort Lund, Liaquat Ali
title Triple solutions and stability analysis of micropolar fluid flow on an exponentially shrinking surface
title_short Triple solutions and stability analysis of micropolar fluid flow on an exponentially shrinking surface
title_full Triple solutions and stability analysis of micropolar fluid flow on an exponentially shrinking surface
title_fullStr Triple solutions and stability analysis of micropolar fluid flow on an exponentially shrinking surface
title_full_unstemmed Triple solutions and stability analysis of micropolar fluid flow on an exponentially shrinking surface
title_sort triple solutions and stability analysis of micropolar fluid flow on an exponentially shrinking surface
publisher MDPI
publishDate 2020
url http://repo.uum.edu.my/27926/
https://www.mdpi.com/2073-4352/10/4/283
_version_ 1685581073392599040
score 13.211869

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