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A stability analysis of solutions on boundary layer flow past a moving thin needle in a nanofluid with slip effect

The purpose of this work is to study the effects of partial slip on the boundary layer flow over a moving horizontal thin needle in nanofluid. Three types of nanoparticles, namely, alumina, copper and titania are considered. The self-similar ordinary differential equations are obtained by adopting t...

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Main Authors: Bachok @ Lati, Norfifah, Md Ali, Fadzilah, Md Arifin, Norihan, Salleh, Siti Nur Alwani
Format: Article
Language:English
Published: Akademi Sains Malaysia 2019
Online Access:http://psasir.upm.edu.my/id/eprint/80500/1/DUAL.pdf
http://psasir.upm.edu.my/id/eprint/80500/
http://www.akademisains.gov.my
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spelling my.upm.eprints.805002020-11-06T19:09:03Z http://psasir.upm.edu.my/id/eprint/80500/ A stability analysis of solutions on boundary layer flow past a moving thin needle in a nanofluid with slip effect Bachok @ Lati, Norfifah Md Ali, Fadzilah Md Arifin, Norihan Salleh, Siti Nur Alwani The purpose of this work is to study the effects of partial slip on the boundary layer flow over a moving horizontal thin needle in nanofluid. Three types of nanoparticles, namely, alumina, copper and titania are considered. The self-similar ordinary differential equations are obtained by adopting the similarity transformations and these equations are then solved numerically using bvp4c function in MATLAB software. Special emphasis has been given to the parameters of interest which include the nanoparticle volume fraction, slip, needle size and velocity ratio. The effect of these parameters on the velocity and temperature profiles, skin friction coefficient and heat transfer rate are further discussed through graphs. It is revealed from the study that the dual solutions exist when the needle oppose the direction of the fluid motion ε < 0, and the range of the possible solutions obtained is strongly depending on the needle size and slip parameters. The stability of the solutions is determined using a stability analysis. This analysis indicated that the upper branch solution is linearly stable and there is an initial decay of disturbance in the system. Meanwhile, the result is invertible for the lower branch solution. Akademi Sains Malaysia 2019 Article PeerReviewed text en http://psasir.upm.edu.my/id/eprint/80500/1/DUAL.pdf Bachok @ Lati, Norfifah and Md Ali, Fadzilah and Md Arifin, Norihan and Salleh, Siti Nur Alwani (2019) A stability analysis of solutions on boundary layer flow past a moving thin needle in a nanofluid with slip effect. ASM Science Journal, 12 (1). pp. 60-70. ISSN 1823-6782 http://www.akademisains.gov.my
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 purpose of this work is to study the effects of partial slip on the boundary layer flow over a moving horizontal thin needle in nanofluid. Three types of nanoparticles, namely, alumina, copper and titania are considered. The self-similar ordinary differential equations are obtained by adopting the similarity transformations and these equations are then solved numerically using bvp4c function in MATLAB software. Special emphasis has been given to the parameters of interest which include the nanoparticle volume fraction, slip, needle size and velocity ratio. The effect of these parameters on the velocity and temperature profiles, skin friction coefficient and heat transfer rate are further discussed through graphs. It is revealed from the study that the dual solutions exist when the needle oppose the direction of the fluid motion ε < 0, and the range of the possible solutions obtained is strongly depending on the needle size and slip parameters. The stability of the solutions is determined using a stability analysis. This analysis indicated that the upper branch solution is linearly stable and there is an initial decay of disturbance in the system. Meanwhile, the result is invertible for the lower branch solution.
format Article
author Bachok @ Lati, Norfifah
Md Ali, Fadzilah
Md Arifin, Norihan
Salleh, Siti Nur Alwani
spellingShingle Bachok @ Lati, Norfifah
Md Ali, Fadzilah
Md Arifin, Norihan
Salleh, Siti Nur Alwani
A stability analysis of solutions on boundary layer flow past a moving thin needle in a nanofluid with slip effect
author_facet Bachok @ Lati, Norfifah
Md Ali, Fadzilah
Md Arifin, Norihan
Salleh, Siti Nur Alwani
author_sort Bachok @ Lati, Norfifah
title A stability analysis of solutions on boundary layer flow past a moving thin needle in a nanofluid with slip effect
title_short A stability analysis of solutions on boundary layer flow past a moving thin needle in a nanofluid with slip effect
title_full A stability analysis of solutions on boundary layer flow past a moving thin needle in a nanofluid with slip effect
title_fullStr A stability analysis of solutions on boundary layer flow past a moving thin needle in a nanofluid with slip effect
title_full_unstemmed A stability analysis of solutions on boundary layer flow past a moving thin needle in a nanofluid with slip effect
title_sort stability analysis of solutions on boundary layer flow past a moving thin needle in a nanofluid with slip effect
publisher Akademi Sains Malaysia
publishDate 2019
url http://psasir.upm.edu.my/id/eprint/80500/1/DUAL.pdf
http://psasir.upm.edu.my/id/eprint/80500/
http://www.akademisains.gov.my
_version_ 1683232228603068416
score 13.211869

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