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Heat transfer in ferrofluid with cylindrical shape nanoparticles past a vertical plate with ramped wall temperature embedded in a porous medium

This paper studies magnetogydrodynamic (MHD) and porosity effects on ferrofluid over an oscillating plate with time dependent wall temperature. Nanoparticles of cylindrical shape are contained inside the base fluids. Kerosene oil is chosen as conventional base fluids. Two types of nanoparticles, mag...

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Main Authors: Khalid, A., Khan, I., Shafie, S.
Format: Article
Published: Elsevier B.V. 2016
Subjects:
QA Mathematics
Online Access:http://eprints.utm.my/id/eprint/72158/
https://www.scopus.com/inward/record.uri?eid=2-s2.0-84978245477&doi=10.1016%2fj.molliq.2016.06.105&partnerID=40&md5=76c5516ab6eb5707acc469b86b34b869
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spelling my.utm.721582017-11-22T12:07:34Z http://eprints.utm.my/id/eprint/72158/ Heat transfer in ferrofluid with cylindrical shape nanoparticles past a vertical plate with ramped wall temperature embedded in a porous medium Khalid, A. Khan, I. Shafie, S. QA Mathematics This paper studies magnetogydrodynamic (MHD) and porosity effects on ferrofluid over an oscillating plate with time dependent wall temperature. Nanoparticles of cylindrical shape are contained inside the base fluids. Kerosene oil is chosen as conventional base fluids. Two types of nanoparticles, magnetite (Fe3O4) and non-magnetic (Al2O3) are added to the base fluid. The flow is unsteady and the ferrofluid is considered as an electrically conducting due to a uniform magnetic field applied in a perpendicular direction to the plate. The problem is modelled in terms of partial differential equation with some physical conditions and solved by using the Laplace transform technique. Exact solutions are obtained for velocity and temperature for both cases of time dependent and isothermal wall temperatures. Graphs of velocity and temperature for time dependent and isothermal wall temperatures are plotted and compared. It is found that under time dependent wall temperature condition, velocity and temperature are smaller in magnitudes than those obtained under isothermal wall temperature condition. Moreover, effects of porosity and Hartmann number are studied graphically and discussed. A comparison is also made between magnetite (Fe3O4) and non-magnetic (Al2O3) nanoparticles. Expressions for skin-friction and Nusselt number are computed in tables. Excellent agreement of the present results is found with existing results in the literature. In this work, cylindrical nanoparticles are chosen because of their abundant applications in biology and medicine. For instance, cylindrical nanoparticles are seven times more deadly than traditional spherical nanoparticles when delivering drugs to breast cancer cells. Elsevier B.V. 2016 Article PeerReviewed Khalid, A. and Khan, I. and Shafie, S. (2016) Heat transfer in ferrofluid with cylindrical shape nanoparticles past a vertical plate with ramped wall temperature embedded in a porous medium. Journal of Molecular Liquids, 221 . pp. 1175-1183. ISSN 0167-7322 https://www.scopus.com/inward/record.uri?eid=2-s2.0-84978245477&doi=10.1016%2fj.molliq.2016.06.105&partnerID=40&md5=76c5516ab6eb5707acc469b86b34b869
institution Universiti Teknologi Malaysia
building UTM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Teknologi Malaysia
content_source UTM Institutional Repository
url_provider http://eprints.utm.my/
topic QA Mathematics
spellingShingle QA Mathematics
Khalid, A.
Khan, I.
Shafie, S.
Heat transfer in ferrofluid with cylindrical shape nanoparticles past a vertical plate with ramped wall temperature embedded in a porous medium
description This paper studies magnetogydrodynamic (MHD) and porosity effects on ferrofluid over an oscillating plate with time dependent wall temperature. Nanoparticles of cylindrical shape are contained inside the base fluids. Kerosene oil is chosen as conventional base fluids. Two types of nanoparticles, magnetite (Fe3O4) and non-magnetic (Al2O3) are added to the base fluid. The flow is unsteady and the ferrofluid is considered as an electrically conducting due to a uniform magnetic field applied in a perpendicular direction to the plate. The problem is modelled in terms of partial differential equation with some physical conditions and solved by using the Laplace transform technique. Exact solutions are obtained for velocity and temperature for both cases of time dependent and isothermal wall temperatures. Graphs of velocity and temperature for time dependent and isothermal wall temperatures are plotted and compared. It is found that under time dependent wall temperature condition, velocity and temperature are smaller in magnitudes than those obtained under isothermal wall temperature condition. Moreover, effects of porosity and Hartmann number are studied graphically and discussed. A comparison is also made between magnetite (Fe3O4) and non-magnetic (Al2O3) nanoparticles. Expressions for skin-friction and Nusselt number are computed in tables. Excellent agreement of the present results is found with existing results in the literature. In this work, cylindrical nanoparticles are chosen because of their abundant applications in biology and medicine. For instance, cylindrical nanoparticles are seven times more deadly than traditional spherical nanoparticles when delivering drugs to breast cancer cells.
format Article
author Khalid, A.
Khan, I.
Shafie, S.
author_facet Khalid, A.
Khan, I.
Shafie, S.
author_sort Khalid, A.
title Heat transfer in ferrofluid with cylindrical shape nanoparticles past a vertical plate with ramped wall temperature embedded in a porous medium
title_short Heat transfer in ferrofluid with cylindrical shape nanoparticles past a vertical plate with ramped wall temperature embedded in a porous medium
title_full Heat transfer in ferrofluid with cylindrical shape nanoparticles past a vertical plate with ramped wall temperature embedded in a porous medium
title_fullStr Heat transfer in ferrofluid with cylindrical shape nanoparticles past a vertical plate with ramped wall temperature embedded in a porous medium
title_full_unstemmed Heat transfer in ferrofluid with cylindrical shape nanoparticles past a vertical plate with ramped wall temperature embedded in a porous medium
title_sort heat transfer in ferrofluid with cylindrical shape nanoparticles past a vertical plate with ramped wall temperature embedded in a porous medium
publisher Elsevier B.V.
publishDate 2016
url http://eprints.utm.my/id/eprint/72158/
https://www.scopus.com/inward/record.uri?eid=2-s2.0-84978245477&doi=10.1016%2fj.molliq.2016.06.105&partnerID=40&md5=76c5516ab6eb5707acc469b86b34b869
_version_ 1643656368835526656
score 13.211869

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