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A stability analysis for magnetohydrodynamics stagnation point flow with zero nanoparticles flux condition and anisotropic slip

The numerical study of nanofluid stagnation point flow coupled with heat and mass transfer on a moving sheet with bi-directional slip velocities is emphasized. A magnetic field is considered normal to the moving sheet. Buongiorno’s model is utilized to assimilate the mixed effects of thermophoresis...

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Main Authors: Khashi'ie, Najiyah Safwa, Md. Arifin, Norihan, Mohd Nazar, Roslinda, Hafidzuddin, Mohd Ezad Hafidz, Wahi, Nadihah, Pop, Ioan
Format: Article
Language:English
Published: MDPI 2019
Online Access:http://psasir.upm.edu.my/id/eprint/38411/1/38411.pdf
http://psasir.upm.edu.my/id/eprint/38411/
https://www.mdpi.com/1996-1073/12/7/1268
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spelling my.upm.eprints.384112020-05-04T16:47:16Z http://psasir.upm.edu.my/id/eprint/38411/ A stability analysis for magnetohydrodynamics stagnation point flow with zero nanoparticles flux condition and anisotropic slip Khashi'ie, Najiyah Safwa Md. Arifin, Norihan Mohd Nazar, Roslinda Hafidzuddin, Mohd Ezad Hafidz Wahi, Nadihah Pop, Ioan The numerical study of nanofluid stagnation point flow coupled with heat and mass transfer on a moving sheet with bi-directional slip velocities is emphasized. A magnetic field is considered normal to the moving sheet. Buongiorno’s model is utilized to assimilate the mixed effects of thermophoresis and Brownian motion due to the nanoparticles. Zero nanoparticles’ flux condition at the surface is employed, which indicates that the nanoparticles’ fraction are passively controlled. This condition makes the model more practical for certain engineering applications. The continuity, momentum, energy and concentration equations are transformed into a set of nonlinear ordinary (similarity) differential equations. Using bvp4c code in MATLAB software, the similarity solutions are graphically demonstrated for considerable parameters such as thermophoresis, Brownian motion and slips on the velocity, nanoparticles volume fraction and temperature profiles. The rate of heat transfer is reduced with the intensification of the anisotropic slip (difference of two-directional slip velocities) and the thermophoresis parameter, while the opposite result is obtained for the mass transfer rate. The study also revealed the existence of non-unique solutions on all the profiles, but, surprisingly, dual solutions exist boundlessly for any positive value of the control parameters. A stability analysis is implemented to assert the reliability and acceptability of the first solution as the physical solution. MDPI 2019 Article PeerReviewed text en http://psasir.upm.edu.my/id/eprint/38411/1/38411.pdf Khashi'ie, Najiyah Safwa and Md. Arifin, Norihan and Mohd Nazar, Roslinda and Hafidzuddin, Mohd Ezad Hafidz and Wahi, Nadihah and Pop, Ioan (2019) A stability analysis for magnetohydrodynamics stagnation point flow with zero nanoparticles flux condition and anisotropic slip. Energies, 12 (7). art. no. 1268. pp. 1-19. ISSN 1996-1073 https://www.mdpi.com/1996-1073/12/7/1268 10.3390/en12071268
institution Universiti Putra Malaysia
building UPM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Putra Malaysia
content_source UPM Institutional Repository
url_provider http://psasir.upm.edu.my/
language English
description The numerical study of nanofluid stagnation point flow coupled with heat and mass transfer on a moving sheet with bi-directional slip velocities is emphasized. A magnetic field is considered normal to the moving sheet. Buongiorno’s model is utilized to assimilate the mixed effects of thermophoresis and Brownian motion due to the nanoparticles. Zero nanoparticles’ flux condition at the surface is employed, which indicates that the nanoparticles’ fraction are passively controlled. This condition makes the model more practical for certain engineering applications. The continuity, momentum, energy and concentration equations are transformed into a set of nonlinear ordinary (similarity) differential equations. Using bvp4c code in MATLAB software, the similarity solutions are graphically demonstrated for considerable parameters such as thermophoresis, Brownian motion and slips on the velocity, nanoparticles volume fraction and temperature profiles. The rate of heat transfer is reduced with the intensification of the anisotropic slip (difference of two-directional slip velocities) and the thermophoresis parameter, while the opposite result is obtained for the mass transfer rate. The study also revealed the existence of non-unique solutions on all the profiles, but, surprisingly, dual solutions exist boundlessly for any positive value of the control parameters. A stability analysis is implemented to assert the reliability and acceptability of the first solution as the physical solution.
format Article
author Khashi'ie, Najiyah Safwa
Md. Arifin, Norihan
Mohd Nazar, Roslinda
Hafidzuddin, Mohd Ezad Hafidz
Wahi, Nadihah
Pop, Ioan
spellingShingle Khashi'ie, Najiyah Safwa
Md. Arifin, Norihan
Mohd Nazar, Roslinda
Hafidzuddin, Mohd Ezad Hafidz
Wahi, Nadihah
Pop, Ioan
A stability analysis for magnetohydrodynamics stagnation point flow with zero nanoparticles flux condition and anisotropic slip
author_facet Khashi'ie, Najiyah Safwa
Md. Arifin, Norihan
Mohd Nazar, Roslinda
Hafidzuddin, Mohd Ezad Hafidz
Wahi, Nadihah
Pop, Ioan
author_sort Khashi'ie, Najiyah Safwa
title A stability analysis for magnetohydrodynamics stagnation point flow with zero nanoparticles flux condition and anisotropic slip
title_short A stability analysis for magnetohydrodynamics stagnation point flow with zero nanoparticles flux condition and anisotropic slip
title_full A stability analysis for magnetohydrodynamics stagnation point flow with zero nanoparticles flux condition and anisotropic slip
title_fullStr A stability analysis for magnetohydrodynamics stagnation point flow with zero nanoparticles flux condition and anisotropic slip
title_full_unstemmed A stability analysis for magnetohydrodynamics stagnation point flow with zero nanoparticles flux condition and anisotropic slip
title_sort stability analysis for magnetohydrodynamics stagnation point flow with zero nanoparticles flux condition and anisotropic slip
publisher MDPI
publishDate 2019
url http://psasir.upm.edu.my/id/eprint/38411/1/38411.pdf
http://psasir.upm.edu.my/id/eprint/38411/
https://www.mdpi.com/1996-1073/12/7/1268
_version_ 1665895983722004480
score 13.211869

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