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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.


Variation of velocity with magnetic Prandtl number .
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Fig3: Variation of velocity with magnetic Prandtl number .

Mentions: Figures 2, 3, 4, 5 show the variation of the velocity with the parameters occurring in the governing equations. Figure 2 shows the effect of the suction parameter on the velocity distribution for and . It is found that the increase in the suction parameter leads to a decrease in the velocity profiles. Figure 3 shows the effect of the magnetic Prandtl number on the velocity profile for suction parameter the Prandtl number and the Hartmann number . This figure clearly shows that the velocity of the fluid decreases as the magnetic Prandtl number increases. Figures 4 and 5 respectively show the variation of velocity with the Prandtl number and the Hartmann number .Figure 2


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

- Springerplus (2015)

Variation of velocity with magnetic Prandtl number .
© Copyright Policy - OpenAccess
Related In: Results  -  Collection

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

Fig3: Variation of velocity with magnetic Prandtl number .
Mentions: Figures 2, 3, 4, 5 show the variation of the velocity with the parameters occurring in the governing equations. Figure 2 shows the effect of the suction parameter on the velocity distribution for and . It is found that the increase in the suction parameter leads to a decrease in the velocity profiles. Figure 3 shows the effect of the magnetic Prandtl number on the velocity profile for suction parameter the Prandtl number and the Hartmann number . This figure clearly shows that the velocity of the fluid decreases as the magnetic Prandtl number increases. Figures 4 and 5 respectively show the variation of velocity with the Prandtl number and the Hartmann number .Figure 2

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.