Magnetic Field Effect on Poiseuille Flow and Heat Transfer of Carbon Nanotubes along a Vertical Channel Filled with Casson Fluid

Applications of carbon nanotubes, single walls carbon nanotubes (SWCNTs) and multiple walls carbon nanotubes (MWCNTs) in thermal engineering have recently attracted significant attention. However, most of the studies on CNTs are either experimental or numerical and the lack of analytical studies lim...

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Main Authors:	Aman, Sidra, Khan, Ilyas, Zulkhibri, Ismail, Mohd Zuki, Salleh, Alshomrani, Ali Saleh, Alghamdi, Metib Said
Format:	Article
Language:	English
Published:	American Institute of Physics 2017
Subjects:	QA Mathematics
Online Access:	http://umpir.ump.edu.my/id/eprint/17784/ http://umpir.ump.edu.my/id/eprint/17784/ http://umpir.ump.edu.my/id/eprint/17784/ http://umpir.ump.edu.my/id/eprint/17784/1/2017%2C%20AIP%20advances%2C%20Poisellue%20flow%20CNTs%2C%20Casson%20fluid.pdf

id	ump-17784
recordtype	eprints
spelling	ump-177842019-10-18T02:34:54Z http://umpir.ump.edu.my/id/eprint/17784/ Magnetic Field Effect on Poiseuille Flow and Heat Transfer of Carbon Nanotubes along a Vertical Channel Filled with Casson Fluid Aman, Sidra Khan, Ilyas Zulkhibri, Ismail Mohd Zuki, Salleh Alshomrani, Ali Saleh Alghamdi, Metib Said QA Mathematics Applications of carbon nanotubes, single walls carbon nanotubes (SWCNTs) and multiple walls carbon nanotubes (MWCNTs) in thermal engineering have recently attracted significant attention. However, most of the studies on CNTs are either experimental or numerical and the lack of analytical studies limits further developments in CNTs research particularly in channel flows. In this work, an analytical investigation is performed on heat transfer analysis of SWCNTs and MWCNTs for mixed convection Poiseuille flow of a Casson fluid along a vertical channel. These CNTs are suspended in three different types of base fluids (Water, Kerosene and engine Oil). Xue [Phys. B Condens. Matter 368, 302–307 (2005)] model has been used for effective thermal conductivity of CNTs. A uniform magnetic field is applied in a transverse direction to the flow as magnetic field induces enhancement in the thermal conductivity of nanofluid. The problem is modelled by using the constitutive equations of Casson fluid in order to characterize the non-Newtonian fluid behavior. Using appropriate non-dimensional variables, the governing equations are transformed into the non-dimensional form, and the perturbation method is utilized to solve the governing equations with some physical conditions. Velocity and temperature solutions are obtained and discussed graphically. Expressions for skin friction and Nusselt number are also evaluated in tabular form. Effects of different parameters such as Casson parameter, radiation parameter and volume fraction are observed on the velocity and temperature profiles. It is found that velocity is reduced under influence of the exterior magnetic field. The temperature of single wall CNTs is found greater than MWCNTs for all the three base fluids. Increase in volume fraction leads to a decrease in velocity of the fluid as the nanofluid become more viscous by adding CNTs. American Institute of Physics 2017-01-27 Article PeerReviewed application/pdf en cc_by http://umpir.ump.edu.my/id/eprint/17784/1/2017%2C%20AIP%20advances%2C%20Poisellue%20flow%20CNTs%2C%20Casson%20fluid.pdf Aman, Sidra and Khan, Ilyas and Zulkhibri, Ismail and Mohd Zuki, Salleh and Alshomrani, Ali Saleh and Alghamdi, Metib Said (2017) Magnetic Field Effect on Poiseuille Flow and Heat Transfer of Carbon Nanotubes along a Vertical Channel Filled with Casson Fluid. AIP Advances, 7 (1). pp. 1-18. ISSN 2158-3226 http://dx.doi.org/10.1063/1.4975219 doi: 10.1063/1.4975219
repository_type	Digital Repository
institution_category	Local University
institution	Universiti Malaysia Pahang
building	UMP Institutional Repository
collection	Online Access
language	English
topic	QA Mathematics
spellingShingle	QA Mathematics Aman, Sidra Khan, Ilyas Zulkhibri, Ismail Mohd Zuki, Salleh Alshomrani, Ali Saleh Alghamdi, Metib Said Magnetic Field Effect on Poiseuille Flow and Heat Transfer of Carbon Nanotubes along a Vertical Channel Filled with Casson Fluid
description	Applications of carbon nanotubes, single walls carbon nanotubes (SWCNTs) and multiple walls carbon nanotubes (MWCNTs) in thermal engineering have recently attracted significant attention. However, most of the studies on CNTs are either experimental or numerical and the lack of analytical studies limits further developments in CNTs research particularly in channel flows. In this work, an analytical investigation is performed on heat transfer analysis of SWCNTs and MWCNTs for mixed convection Poiseuille flow of a Casson fluid along a vertical channel. These CNTs are suspended in three different types of base fluids (Water, Kerosene and engine Oil). Xue [Phys. B Condens. Matter 368, 302–307 (2005)] model has been used for effective thermal conductivity of CNTs. A uniform magnetic field is applied in a transverse direction to the flow as magnetic field induces enhancement in the thermal conductivity of nanofluid. The problem is modelled by using the constitutive equations of Casson fluid in order to characterize the non-Newtonian fluid behavior. Using appropriate non-dimensional variables, the governing equations are transformed into the non-dimensional form, and the perturbation method is utilized to solve the governing equations with some physical conditions. Velocity and temperature solutions are obtained and discussed graphically. Expressions for skin friction and Nusselt number are also evaluated in tabular form. Effects of different parameters such as Casson parameter, radiation parameter and volume fraction are observed on the velocity and temperature profiles. It is found that velocity is reduced under influence of the exterior magnetic field. The temperature of single wall CNTs is found greater than MWCNTs for all the three base fluids. Increase in volume fraction leads to a decrease in velocity of the fluid as the nanofluid become more viscous by adding CNTs.
format	Article
author	Aman, Sidra Khan, Ilyas Zulkhibri, Ismail Mohd Zuki, Salleh Alshomrani, Ali Saleh Alghamdi, Metib Said
author_facet	Aman, Sidra Khan, Ilyas Zulkhibri, Ismail Mohd Zuki, Salleh Alshomrani, Ali Saleh Alghamdi, Metib Said
author_sort	Aman, Sidra
title	Magnetic Field Effect on Poiseuille Flow and Heat Transfer of Carbon Nanotubes along a Vertical Channel Filled with Casson Fluid
title_short	Magnetic Field Effect on Poiseuille Flow and Heat Transfer of Carbon Nanotubes along a Vertical Channel Filled with Casson Fluid
title_full	Magnetic Field Effect on Poiseuille Flow and Heat Transfer of Carbon Nanotubes along a Vertical Channel Filled with Casson Fluid
title_fullStr	Magnetic Field Effect on Poiseuille Flow and Heat Transfer of Carbon Nanotubes along a Vertical Channel Filled with Casson Fluid
title_full_unstemmed	Magnetic Field Effect on Poiseuille Flow and Heat Transfer of Carbon Nanotubes along a Vertical Channel Filled with Casson Fluid
title_sort	magnetic field effect on poiseuille flow and heat transfer of carbon nanotubes along a vertical channel filled with casson fluid
publisher	American Institute of Physics
publishDate	2017
url	http://umpir.ump.edu.my/id/eprint/17784/ http://umpir.ump.edu.my/id/eprint/17784/ http://umpir.ump.edu.my/id/eprint/17784/ http://umpir.ump.edu.my/id/eprint/17784/1/2017%2C%20AIP%20advances%2C%20Poisellue%20flow%20CNTs%2C%20Casson%20fluid.pdf
first_indexed	2023-09-18T22:24:46Z
last_indexed	2023-09-18T22:24:46Z
_version_	1777415892923056128

Magnetic Field Effect on Poiseuille Flow and Heat Transfer of Carbon Nanotubes along a Vertical Channel Filled with Casson Fluid

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