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Numerical investigation of multiple solutions for caputo fractional-order-two dimensional magnetohydrodynamic unsteady flow of generalized viscous fluid over a shrinking sheet using the Adams-type predictor-corrector method

In this paper, magnetohydrodynamic (MHD) flow over a shrinking sheet and heat transfer with viscous dissipation has been studied. The governing equations of the considered problem are transformed into ordinary differential equations using similarity transformation. The resultant equations are conver...

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Main Authors: Lund, Liaquat Ali, Omar, Zurni, Alharbi, Sayer O., Khan, Ilyas, Nisar, Kottakkaran Sooppy
Format: Article
Language:English
Published: MDPI AG 2019
Subjects:
QA75 Electronic computers. Computer science
Online Access:http://repo.uum.edu.my/26532/1/C%20%209%20548%202019%201%2012.pdf
http://repo.uum.edu.my/26532/
http://doi.org/10.3390/coatings9090548
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spelling my.uum.repo.265322019-10-29T01:13:36Z http://repo.uum.edu.my/26532/ Numerical investigation of multiple solutions for caputo fractional-order-two dimensional magnetohydrodynamic unsteady flow of generalized viscous fluid over a shrinking sheet using the Adams-type predictor-corrector method Lund, Liaquat Ali Omar, Zurni Alharbi, Sayer O. Khan, Ilyas Nisar, Kottakkaran Sooppy QA75 Electronic computers. Computer science In this paper, magnetohydrodynamic (MHD) flow over a shrinking sheet and heat transfer with viscous dissipation has been studied. The governing equations of the considered problem are transformed into ordinary differential equations using similarity transformation. The resultant equations are converted into a system of fractional differential boundary layer equations by employing a Caputo derivative which is then solved numerically using the Adams-type predictor-corrector method (APCM). The results show the existence of two ranges of solutions, namely, dual solutions and no solution. Moreover, the results indicate that dual solutions exist for a certain range of specific parameters which are in line with the results of some previously published work. It is also observed that the velocity boundary layer decreases as the suction and magnetic parameters increase. MDPI AG 2019 Article PeerReviewed application/pdf en http://repo.uum.edu.my/26532/1/C%20%209%20548%202019%201%2012.pdf Lund, Liaquat Ali and Omar, Zurni and Alharbi, Sayer O. and Khan, Ilyas and Nisar, Kottakkaran Sooppy (2019) Numerical investigation of multiple solutions for caputo fractional-order-two dimensional magnetohydrodynamic unsteady flow of generalized viscous fluid over a shrinking sheet using the Adams-type predictor-corrector method. Coatings, 9 (548). pp. 1-12. ISSN 2079-6412 http://doi.org/10.3390/coatings9090548 doi:10.3390/coatings9090548
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
Alharbi, Sayer O.
Khan, Ilyas
Nisar, Kottakkaran Sooppy
Numerical investigation of multiple solutions for caputo fractional-order-two dimensional magnetohydrodynamic unsteady flow of generalized viscous fluid over a shrinking sheet using the Adams-type predictor-corrector method
description In this paper, magnetohydrodynamic (MHD) flow over a shrinking sheet and heat transfer with viscous dissipation has been studied. The governing equations of the considered problem are transformed into ordinary differential equations using similarity transformation. The resultant equations are converted into a system of fractional differential boundary layer equations by employing a Caputo derivative which is then solved numerically using the Adams-type predictor-corrector method (APCM). The results show the existence of two ranges of solutions, namely, dual solutions and no solution. Moreover, the results indicate that dual solutions exist for a certain range of specific parameters which are in line with the results of some previously published work. It is also observed that the velocity boundary layer decreases as the suction and magnetic parameters increase.
format Article
author Lund, Liaquat Ali
Omar, Zurni
Alharbi, Sayer O.
Khan, Ilyas
Nisar, Kottakkaran Sooppy
author_facet Lund, Liaquat Ali
Omar, Zurni
Alharbi, Sayer O.
Khan, Ilyas
Nisar, Kottakkaran Sooppy
author_sort Lund, Liaquat Ali
title Numerical investigation of multiple solutions for caputo fractional-order-two dimensional magnetohydrodynamic unsteady flow of generalized viscous fluid over a shrinking sheet using the Adams-type predictor-corrector method
title_short Numerical investigation of multiple solutions for caputo fractional-order-two dimensional magnetohydrodynamic unsteady flow of generalized viscous fluid over a shrinking sheet using the Adams-type predictor-corrector method
title_full Numerical investigation of multiple solutions for caputo fractional-order-two dimensional magnetohydrodynamic unsteady flow of generalized viscous fluid over a shrinking sheet using the Adams-type predictor-corrector method
title_fullStr Numerical investigation of multiple solutions for caputo fractional-order-two dimensional magnetohydrodynamic unsteady flow of generalized viscous fluid over a shrinking sheet using the Adams-type predictor-corrector method
title_full_unstemmed Numerical investigation of multiple solutions for caputo fractional-order-two dimensional magnetohydrodynamic unsteady flow of generalized viscous fluid over a shrinking sheet using the Adams-type predictor-corrector method
title_sort numerical investigation of multiple solutions for caputo fractional-order-two dimensional magnetohydrodynamic unsteady flow of generalized viscous fluid over a shrinking sheet using the adams-type predictor-corrector method
publisher MDPI AG
publishDate 2019
url http://repo.uum.edu.my/26532/1/C%20%209%20548%202019%201%2012.pdf
http://repo.uum.edu.my/26532/
http://doi.org/10.3390/coatings9090548
_version_ 1648740707799662592
score 13.211869

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