On the Study of Magnetohydrodynamic Squeezing Flow of Nanofluid between Two Parallel Plates Embedded in a Porous Medium

A study of magnetohydrodynamic squeezing flow of nanofluid between two parallel plates embedded in a porous medium is presented in this work. The ordinary differential equation which is transformed from the developed governing partial differential equations is solved using differential transformatio...

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Main Authors: Gbeminiyi Sobamowo, Olumide Jayesimi, Akindoye Waheed
Format: Article
Language:English
Published: Pouyan Press 2018-10-01
Series:Computational Engineering and Physical Modeling
Subjects:
Online Access:http://www.jcepm.com/article_64819_f199dcf92697818fee877a2795e4ae41.pdf
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author Gbeminiyi Sobamowo
Olumide Jayesimi
Akindoye Waheed
author_facet Gbeminiyi Sobamowo
Olumide Jayesimi
Akindoye Waheed
author_sort Gbeminiyi Sobamowo
collection DOAJ
description A study of magnetohydrodynamic squeezing flow of nanofluid between two parallel plates embedded in a porous medium is presented in this work. The ordinary differential equation which is transformed from the developed governing partial differential equations is solved using differential transformation method. The accuracy of the results of the approximate analytical method are established as they agree very well with the results numerical method using fourth-fifth order Runge-Kutta-Fehlberg method. Using the developed analytical solutions, the parametric studies reveal that when the velocity of the flow increases during the squeezing process, the Hartmann and squeezing numbers decrease while during the separation process, the velocity of the fluid increases with increase in Hartmann and squeezing numbers. Also, the velocity of the nanofluids further decreases as the Hartmann number increases when the plates move apart. However, it is revealed that increase in nanotube concentration leads to an increase in the velocity of the flow during the squeezing flow. The present study will be useful in various industrial, biological and engineering applications.
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spelling doaj.art-1cee969778064aa1aa10424beee323c42022-12-21T20:48:32ZengPouyan PressComputational Engineering and Physical Modeling2588-69592018-10-011411510.22115/cepm.2018.122325.101364819On the Study of Magnetohydrodynamic Squeezing Flow of Nanofluid between Two Parallel Plates Embedded in a Porous MediumGbeminiyi Sobamowo0Olumide Jayesimi1Akindoye Waheed2Department of Mechanical Engineering, University of Lagos, Akoka, Lagos, NigeriaWorks and Physical Planning Department, University of Lagos, Akoka, Lagos, NigeriaDepartment of Mechanical Engineering, Federal University of Agriculture, Abeokuta, NigeriaA study of magnetohydrodynamic squeezing flow of nanofluid between two parallel plates embedded in a porous medium is presented in this work. The ordinary differential equation which is transformed from the developed governing partial differential equations is solved using differential transformation method. The accuracy of the results of the approximate analytical method are established as they agree very well with the results numerical method using fourth-fifth order Runge-Kutta-Fehlberg method. Using the developed analytical solutions, the parametric studies reveal that when the velocity of the flow increases during the squeezing process, the Hartmann and squeezing numbers decrease while during the separation process, the velocity of the fluid increases with increase in Hartmann and squeezing numbers. Also, the velocity of the nanofluids further decreases as the Hartmann number increases when the plates move apart. However, it is revealed that increase in nanotube concentration leads to an increase in the velocity of the flow during the squeezing flow. The present study will be useful in various industrial, biological and engineering applications.http://www.jcepm.com/article_64819_f199dcf92697818fee877a2795e4ae41.pdfsqueezing flownanofluidmagnetic fieldparallel platesdifferential transformation method
spellingShingle Gbeminiyi Sobamowo
Olumide Jayesimi
Akindoye Waheed
On the Study of Magnetohydrodynamic Squeezing Flow of Nanofluid between Two Parallel Plates Embedded in a Porous Medium
Computational Engineering and Physical Modeling
squeezing flow
nanofluid
magnetic field
parallel plates
differential transformation method
title On the Study of Magnetohydrodynamic Squeezing Flow of Nanofluid between Two Parallel Plates Embedded in a Porous Medium
title_full On the Study of Magnetohydrodynamic Squeezing Flow of Nanofluid between Two Parallel Plates Embedded in a Porous Medium
title_fullStr On the Study of Magnetohydrodynamic Squeezing Flow of Nanofluid between Two Parallel Plates Embedded in a Porous Medium
title_full_unstemmed On the Study of Magnetohydrodynamic Squeezing Flow of Nanofluid between Two Parallel Plates Embedded in a Porous Medium
title_short On the Study of Magnetohydrodynamic Squeezing Flow of Nanofluid between Two Parallel Plates Embedded in a Porous Medium
title_sort on the study of magnetohydrodynamic squeezing flow of nanofluid between two parallel plates embedded in a porous medium
topic squeezing flow
nanofluid
magnetic field
parallel plates
differential transformation method
url http://www.jcepm.com/article_64819_f199dcf92697818fee877a2795e4ae41.pdf
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