Research Journal of Engineering and Technology

M. G. Gorla ¹, Khem Chand ¹, Asha Singh ¹

Affiliations
1 Department of Mathematics and Statistics, Himachal Pradesh University, Shimla-5, IN

Abstract

Unsteady free convective flow of a viscous incompressible fluid in a porous medium past an infinite vertical rotating porous plate with gravity modulation is considered. Expressions for velocity, temperature and concentration profiles are obtained. Also the expressions for the skin-friction coefficient, rate of heat transfer and Sherwood number are derived. The effects of Prandtl number (Pr), Grashof number (Gr), modified Grashof number (Gc), frequency of oscillation (ω), Rotation parameter (E), gravity modulation parameter(α), Heat radiation (􀀁R_p􀀂) and Permeability parameter (k₀􀀄􀀅) are studied through graphs. It is found that primary fluid velocity decreases with increase of rotation parameter whereas secondary fluid velocity is increased. It has been noticed that with increase of gravity modulation parameter primary velocity increases. With increase of radiation parameter the temperature decreases. Concentration decreases with increase of Chemical reaction parameter.

Keywords

Heat Radiation, Rotation, Free Convection, Gravity Modulation, Slip Flow Region.

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K. D. Singh ¹, Khem Chand ¹, Sapna ¹

Affiliations
1 Department of Mathematics & Statistics, Himachal Pradesh University, Shimla-5, IN

Abstract

An analysis of an unsteady free convective flow of a viscous, incompressible, electrically conducting fluid past an infinite hot vertical porous plate in slip flow regime has been carried out under the following assumptions: (i)the suction velocity normal to the plate is constant, (ii) the plate temperature is spanwise cosinusoidal fluctuating with time, (iii) the difference between the temperature of the plate and the free stream is moderately large causing free convection currents and (iv) the transversely applied magnetic field and magnetic Reynold number are really small and, hence, the induced magnetic field is negligible. The governing equations have been solved by adopting complex variable notations and the expressions for velocity and temperature fields obtained. The transient velocity, temperature, and amplitude the shear stress and heat transfer at the plate have been discussed.

Keywords

Unsteady, Free Convective, MHD, Span Wise Fluctuating Temperature.

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Khem Chand ¹, Nidhi Thakur ¹

Affiliations
1 Department of Mathematics & Statistics, Himachal Pradesh University, Shimla-171005, IN

Abstract

The present study deals with the effects of heat and mass transfer on MHD free convective flow of an incompressible and electrically-conducting fluid along an infinite vertical moving plate embedded in the porous medium by taking into account the effect of viscous dissipation. A uniform magnetic field is applied perpendicular to the plane of the plate. The dimensionless governing equations are solved analytically using two-term harmonic and non-harmonic functions. The numerical calculations are performed to illustrate the influence of parameters used in the problem on the velocity, temperature and concentration. The graphical representations of the numerical results reveal that increased cooling of the plate and the Eckert number leads to a rise in the velocity profile. Also, an increase in Prandtl number leads to decrease in the temperature.

Keywords

MHD, Heat and Mass Transfer, Porous Medium, Viscous Dissipation Mathematical Subject Classification (2010):76D05, 76D10.

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Bharti Sharma ¹, Khem Chand ²

Affiliations
1 Department of Mathematics and Statistics, H.P.University-Shimla, IN
2 Department of Mathematics & Statistics, H.P. University-Shimla, IN

Abstract

In the present study the effects of thermal radiation, heat source and magnetic Prandtl number on heat and mass transfer in mixed convection MHD flow of a viscous, incompressible, electrically conducting fluid over a vertical porous plate taking into account the induced magnetic field has been analyzed. The plate is subjected to a constant suction velocity. The expression for the velocity, temperature, concentration, skin friction and induced magnetic, coefficient of rate of heat and mass transfer in term of Nusselt number and Sherwood number at the plate are obtained in non-dimensional form. Numerical value of velocity, temperature, skin friction and induced magnetic field for different value of the parameters involved in the problem are expressed through the graphs and table. The results are discussed in detail.

Keywords

Magnetic Prandtl Number, Induced Magnetic Field, Radiation, Heat Source.

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