Hall current effect on viscoelastic (Walter's liquid model-B) MHD oscillatory convective channel flow through a porous medium with heat radiation

Pal Balvinder,Dev Krishan,A.K Bansal

doi:10.5937/kgjsci1436019b

Abstract

An oscillatory MHD convective flow of an incompressible, viscoelastic (Walter's liquid model-B) and electrically conducting fluid through porous medium filled in a vertical porous channel is analyzed. The two porous plates of the channel are subjected to a constant injection and suction velocity as shown in Fig.1. A magnetic field of uniform strength is applied perpendicular to the plates of the channel. The temperature of one of the plates varies periodically and the temperature difference between the two plates is high enough to induce the heat due to radiation. A closed form solution of the purely oscillatory flow is obtained. The velocity, temperature and the skin-friction in terms of its amplitude and phase angle have been shown graphically to observe the effects of viscoelasticity γ, injection/suction parameter λ, Grashof number Gr, Hartmann number M, Hall parameter H, the pressure A, Prandtl number Pr, Radiation parameter N and the frequency of oscillation ω.

Highlights

The study of the flows of visco-elastic fluids is important in the fields of petroleum technology and in the purification of crude oils
The object of the present paper is to study Hall current effect on the oscillatory MHD convective flow of a viscoelastic (Walter’s liquid-B) fluid through a porous medium filled in a vertical channel
The velocity increases with the increase of the injection/suction parameter, Grashof number, Hall Parameter and the pressure gradient

Summary

INTRODUCTION

The study of the flows of visco-elastic fluids is important in the fields of petroleum technology and in the purification of crude oils. Taking into account the heat radiation and the Hall currents SINGH et al [31] studied heat and mass transfer in an unsteady MHD free convective flow through a porous medium bounded by vertical porous channel. SINGH [29] analyzed an oscillatory mixed convection flow of a viscoelastic electrically conducting fluid in an infinite vertical channel filled with porous medium. The object of the present paper is to study Hall current effect on the oscillatory MHD convective flow of a viscoelastic (Walter’s liquid-B) fluid through a porous medium filled in a vertical channel. In the present analysis we consider an unsteady flow of a viscoelastic (Walter’ liquid model- B), incompressible and electrically conducting fluid bounded by two infinite vertical porous plates distance ‘d’ apart. The temperature field, amplitude and phase of the Nusselt number need no further discussion because these have already been discussed in detail by SINGH [28]

DISCUSSION

VII V XI

CONCLUSIONS

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