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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 induced current density with Prandtl number .
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Fig12: Variation of induced current density with Prandtl number .

Mentions: Figures 10, 11, 12, 13 illustrates the effect of the parameters on the induced current density profiles respectively. Figure 10 presenting the variation of induced current density with the suction parameter , shows that the induced current density profile decreases with the increase in the value of suction parameter. The variation of the induced current density with the Prandtl number , is shown in the Figure 12 and its variation with the Hartmann number , is shown in the Figure 13. It is clear from the graphs that effect of the Prandtl number and the Hartmann number on the induced current density profile is found to have a decreasing nature. The induced current density increases with the increase in the value of the magnetic Prandtl number as shown in the Figure 11.Figure 10


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

- Springerplus (2015)

Variation of induced current density with Prandtl number .
© Copyright Policy - OpenAccess
Related In: Results  -  Collection

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

Fig12: Variation of induced current density with Prandtl number .
Mentions: Figures 10, 11, 12, 13 illustrates the effect of the parameters on the induced current density profiles respectively. Figure 10 presenting the variation of induced current density with the suction parameter , shows that the induced current density profile decreases with the increase in the value of suction parameter. The variation of the induced current density with the Prandtl number , is shown in the Figure 12 and its variation with the Hartmann number , is shown in the Figure 13. It is clear from the graphs that effect of the Prandtl number and the Hartmann number on the induced current density profile is found to have a decreasing nature. The induced current density increases with the increase in the value of the magnetic Prandtl number as shown in the Figure 11.Figure 10

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.