MHD Convection Fluid and Heat Transfer in an Inclined Micro-Porous-Channel

This study is devoted to investigate the influence of transverse magnetic field as well as suction/injection on MHD natural convection flow of conducting fluid in an inclined micro-porous-channel. The analytical solutions for velocity profile and temperature profile have been obtained considering th...

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Main Authors: Aina Babatunde, Malgwi Peter Bukar
Format: Article
Language:English
Published: De Gruyter 2019-01-01
Series:Nonlinear Engineering
Subjects:
Online Access:https://doi.org/10.1515/nleng-2018-0081
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author Aina Babatunde
Malgwi Peter Bukar
author_facet Aina Babatunde
Malgwi Peter Bukar
author_sort Aina Babatunde
collection DOAJ
description This study is devoted to investigate the influence of transverse magnetic field as well as suction/injection on MHD natural convection flow of conducting fluid in an inclined micro-porous-channel. The analytical solutions for velocity profile and temperature profile have been obtained considering the velocity slip and temperature jump conditions at the micro-porous-channel walls. The solution obtained for the velocity has been used to compute the skin friction, while the temperature has been used to compute the Nusselt number. The effect of various flow parameters entering into the problem are discussed with the aid of line graphs. Results reveal that the impact of inclination angle on fluid velocity is dependent on the value of the wall ambient temperature difference ratio, hence increase in inclination angle yields an enhancement in fluid velocity within the micro-porous-channel for some selected values of the wall ambient temperature difference ratio whereas it displays a dual character for other values. Also, injecting through the micro-porous channel thickens the thermal boundary layer, resulting to weakening the convective current and consequently decreasing the fluid velocity whereas suction weakens the thermal boundary layer yielding an increase in fluid velocity.
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spelling doaj.art-426900089e4b49fcabda5c7959ee49e42022-12-21T23:30:42ZengDe GruyterNonlinear Engineering2192-80102192-80292019-01-018175576310.1515/nleng-2018-0081nleng-2018-0081MHD Convection Fluid and Heat Transfer in an Inclined Micro-Porous-ChannelAina Babatunde0Malgwi Peter Bukar1Department of Mathematics, Bingham University, Abuja, NigeriaDepartment of Mathematics, Ahmadu Bello University, Zaria, NigeriaThis study is devoted to investigate the influence of transverse magnetic field as well as suction/injection on MHD natural convection flow of conducting fluid in an inclined micro-porous-channel. The analytical solutions for velocity profile and temperature profile have been obtained considering the velocity slip and temperature jump conditions at the micro-porous-channel walls. The solution obtained for the velocity has been used to compute the skin friction, while the temperature has been used to compute the Nusselt number. The effect of various flow parameters entering into the problem are discussed with the aid of line graphs. Results reveal that the impact of inclination angle on fluid velocity is dependent on the value of the wall ambient temperature difference ratio, hence increase in inclination angle yields an enhancement in fluid velocity within the micro-porous-channel for some selected values of the wall ambient temperature difference ratio whereas it displays a dual character for other values. Also, injecting through the micro-porous channel thickens the thermal boundary layer, resulting to weakening the convective current and consequently decreasing the fluid velocity whereas suction weakens the thermal boundary layer yielding an increase in fluid velocity.https://doi.org/10.1515/nleng-2018-0081mhdinclined micro-porous-channelvelocity sliptemperature jump
spellingShingle Aina Babatunde
Malgwi Peter Bukar
MHD Convection Fluid and Heat Transfer in an Inclined Micro-Porous-Channel
Nonlinear Engineering
mhd
inclined micro-porous-channel
velocity slip
temperature jump
title MHD Convection Fluid and Heat Transfer in an Inclined Micro-Porous-Channel
title_full MHD Convection Fluid and Heat Transfer in an Inclined Micro-Porous-Channel
title_fullStr MHD Convection Fluid and Heat Transfer in an Inclined Micro-Porous-Channel
title_full_unstemmed MHD Convection Fluid and Heat Transfer in an Inclined Micro-Porous-Channel
title_short MHD Convection Fluid and Heat Transfer in an Inclined Micro-Porous-Channel
title_sort mhd convection fluid and heat transfer in an inclined micro porous channel
topic mhd
inclined micro-porous-channel
velocity slip
temperature jump
url https://doi.org/10.1515/nleng-2018-0081
work_keys_str_mv AT ainababatunde mhdconvectionfluidandheattransferinaninclinedmicroporouschannel
AT malgwipeterbukar mhdconvectionfluidandheattransferinaninclinedmicroporouschannel