Magnetic field and thermal radiation effects on steady hydromagnetic Couette flow through a porous channel

This paper investigates effects of thermal radiation and magnetic field on hydromagnetic Couette flow of a highly viscous fluid with temperature-dependent viscosity and thermal conductivity at constant pressure through a porous channel. The influence of the channel permeability is also assessed....

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Main Authors: Chigozie Israel-Cookey, Bakai Ishola Olajuwon, Ismail Gboyega Baoku
Format: Article
Language:English
Published: University Constantin Brancusi of Targu-Jiu 2010-09-01
Series:Surveys in Mathematics and its Applications
Subjects:
Online Access:http://www.utgjiu.ro/math/sma/v05/p16.pdf
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author Chigozie Israel-Cookey
Bakai Ishola Olajuwon
Ismail Gboyega Baoku
author_facet Chigozie Israel-Cookey
Bakai Ishola Olajuwon
Ismail Gboyega Baoku
author_sort Chigozie Israel-Cookey
collection DOAJ
description This paper investigates effects of thermal radiation and magnetic field on hydromagnetic Couette flow of a highly viscous fluid with temperature-dependent viscosity and thermal conductivity at constant pressure through a porous channel. The influence of the channel permeability is also assessed. The relevant governing partial differential equations have been transformed to non-linear coupled ordinary differential equations by virtue of the steady nature of the flow and are solved numerically using a marching finite difference scheme to give approximate solutions for the velocity and temperature profiles. We highlight the effects of Nahme numbers, magnetic field, radiation and permeability parameters on both profiles. The results obtained are used to give graphical illustrations of the distribution of the flow variables and are discussed.
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spelling doaj.art-2bdd6093f2c4455d951045fbed717f912022-12-21T18:00:08ZengUniversity Constantin Brancusi of Targu-JiuSurveys in Mathematics and its Applications1843-72651842-62982010-09-015 (2010)215228Magnetic field and thermal radiation effects on steady hydromagnetic Couette flow through a porous channelChigozie Israel-CookeyBakai Ishola OlajuwonIsmail Gboyega BaokuThis paper investigates effects of thermal radiation and magnetic field on hydromagnetic Couette flow of a highly viscous fluid with temperature-dependent viscosity and thermal conductivity at constant pressure through a porous channel. The influence of the channel permeability is also assessed. The relevant governing partial differential equations have been transformed to non-linear coupled ordinary differential equations by virtue of the steady nature of the flow and are solved numerically using a marching finite difference scheme to give approximate solutions for the velocity and temperature profiles. We highlight the effects of Nahme numbers, magnetic field, radiation and permeability parameters on both profiles. The results obtained are used to give graphical illustrations of the distribution of the flow variables and are discussed.http://www.utgjiu.ro/math/sma/v05/p16.pdf Magnetic fieldThermal RadiationHydromagnetic Couette FlowThermal conductivityPorous Channel
spellingShingle Chigozie Israel-Cookey
Bakai Ishola Olajuwon
Ismail Gboyega Baoku
Magnetic field and thermal radiation effects on steady hydromagnetic Couette flow through a porous channel
Surveys in Mathematics and its Applications
Magnetic field
Thermal Radiation
Hydromagnetic Couette Flow
Thermal conductivity
Porous Channel
title Magnetic field and thermal radiation effects on steady hydromagnetic Couette flow through a porous channel
title_full Magnetic field and thermal radiation effects on steady hydromagnetic Couette flow through a porous channel
title_fullStr Magnetic field and thermal radiation effects on steady hydromagnetic Couette flow through a porous channel
title_full_unstemmed Magnetic field and thermal radiation effects on steady hydromagnetic Couette flow through a porous channel
title_short Magnetic field and thermal radiation effects on steady hydromagnetic Couette flow through a porous channel
title_sort magnetic field and thermal radiation effects on steady hydromagnetic couette flow through a porous channel
topic Magnetic field
Thermal Radiation
Hydromagnetic Couette Flow
Thermal conductivity
Porous Channel
url http://www.utgjiu.ro/math/sma/v05/p16.pdf
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AT ismailgboyegabaoku magneticfieldandthermalradiationeffectsonsteadyhydromagneticcouetteflowthroughaporouschannel