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Magnetohydrodynamic free convection between vertical parallel porous plates in the presence of induced magnetic field.

- Springerplus (2015)

Bottom Line: The effect of induced magnetic field arising due to the motion of an electrically conducting fluid is taken into account.The expression for the induced current density has been also obtained.It is found that the effect of suction parameter is to decrease the velocity field and induced current density while it has increasing effect on the induced magnetic field.

View Article: PubMed Central - PubMed

Affiliation: DST-Centre for Interdisciplinary Mathematical Sciences, Banaras Hindu University, Varanasi, India ; Department of Mathematics, Faculty of Science, Banaras Hindu University, Varanasi, India.

ABSTRACT
In this paper, the steady two-dimensional hydromagnetic free convective flow of an incompressible viscous and electrically conducting fluid between two parallel vertical porous plates has been considered. The effect of induced magnetic field arising due to the motion of an electrically conducting fluid is taken into account. The governing equations of the motion are a set of simultaneous ordinary differential equations and their analytical solutions in dimensionless form have been obtained for the velocity field, the induced magnetic field and the temperature field. The expression for the induced current density has been also obtained. The effects of various non-dimensional parameters on the velocity profile, the induced magnetic field profile, the temperature profile and the induced current density profile have been shown in the graphs. It is found that the effect of suction parameter is to decrease the velocity field and induced current density while it has increasing effect on the induced magnetic field.

No MeSH data available.


Physical model.
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Fig1: Physical model.

Mentions: We consider the steady, free convective flow of an electrically conducting, viscous incompressible fluid between two infinite vertical porous plates with constant suction having suction velocity . The -axis is taken vertically upward along the plates and the -axis normal to it as shown in the Figure 1. The distance between the plates is . The one plate is kept at constant heat flux while the other is maintained at the constant temperature . As the plates are of infinite extent, the variables describing the flow will depend only on the transverse coordinate and so the fluid velocity will have only one non zero component in the -direction. A uniform magnetic field of strength is applied perpendicular to the plates. The plate at  = 0 is taken to be non-conducting while the other plate at y′ = h is taken to be electrically conducting. For a fluid with significant electrical conductivity , this in turn induces a magnetic field along the -axis. Let be the velocity of the fluid along -axis, then is the velocity vector and is the magnetic field vector of the considered problem.Figure 1


Magnetohydrodynamic free convection between vertical parallel porous plates in the presence of induced magnetic field.

- Springerplus (2015)

Physical model.
© Copyright Policy - OpenAccess
Related In: Results  -  Collection

License
Show All Figures
getmorefigures.php?uid=PMC4495103&req=5

Fig1: Physical model.
Mentions: We consider the steady, free convective flow of an electrically conducting, viscous incompressible fluid between two infinite vertical porous plates with constant suction having suction velocity . The -axis is taken vertically upward along the plates and the -axis normal to it as shown in the Figure 1. The distance between the plates is . The one plate is kept at constant heat flux while the other is maintained at the constant temperature . As the plates are of infinite extent, the variables describing the flow will depend only on the transverse coordinate and so the fluid velocity will have only one non zero component in the -direction. A uniform magnetic field of strength is applied perpendicular to the plates. The plate at  = 0 is taken to be non-conducting while the other plate at y′ = h is taken to be electrically conducting. For a fluid with significant electrical conductivity , this in turn induces a magnetic field along the -axis. Let be the velocity of the fluid along -axis, then is the velocity vector and is the magnetic field vector of the considered problem.Figure 1

Bottom Line: The effect of induced magnetic field arising due to the motion of an electrically conducting fluid is taken into account.The expression for the induced current density has been also obtained.It is found that the effect of suction parameter is to decrease the velocity field and induced current density while it has increasing effect on the induced magnetic field.

View Article: PubMed Central - PubMed

Affiliation: DST-Centre for Interdisciplinary Mathematical Sciences, Banaras Hindu University, Varanasi, India ; Department of Mathematics, Faculty of Science, Banaras Hindu University, Varanasi, India.

ABSTRACT
In this paper, the steady two-dimensional hydromagnetic free convective flow of an incompressible viscous and electrically conducting fluid between two parallel vertical porous plates has been considered. The effect of induced magnetic field arising due to the motion of an electrically conducting fluid is taken into account. The governing equations of the motion are a set of simultaneous ordinary differential equations and their analytical solutions in dimensionless form have been obtained for the velocity field, the induced magnetic field and the temperature field. The expression for the induced current density has been also obtained. The effects of various non-dimensional parameters on the velocity profile, the induced magnetic field profile, the temperature profile and the induced current density profile have been shown in the graphs. It is found that the effect of suction parameter is to decrease the velocity field and induced current density while it has increasing effect on the induced magnetic field.

No MeSH data available.