International Journal of Technology

K. D. Singh ¹, Khem Chand ², Sapna ²

Affiliations
1 Railways Vihar, Mansa Devi Campus, Sector-4, Panchkula (Haryana), IN
2 Department of Mathematics & Statistics, Himachal Pradesh University, Shimla-171005, IN

Abstract

The paper attempt to investigate the effect of injection/suction on the flow of electrically conducting fluid through a porous channel filled with porous material. A magnetic field of uniform strength is applied perpendicular to the plane of the porous channel. The effect of heat radiation, heat source and chemical reaction has been taken into consideration. The governing equations are solved analytically by using complex variable notation. The expressions for velocity, temperature, concentration, skin friction coefficient, rate of heat transfer and rate of mass transfer have been obtained. The effect of various parameters entering the governing equation have been evaluated numerically and expressed graphically and in tabular form. A detailed discussion is given in the result and discussion section of the research paper.

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Bharti Sharma ¹, Khem Chand ¹

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

Abstract

The objective of present study is to investigate the effects of thermal radiation and magnetic Prandtl number on heat and mass transfer in mixed convection MHD flow of a viscous, incompressible, electrically conducting optically thin gray fluid over a vertical porous plate taking into account the induced magnetic field. The plate is subjected to a constant suction velocity. 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

Viscous Dissipative Heat, Magnetic Prandtl Number, Induced Magnetic Field, Radiation.

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Khem Chand ¹, Nidhi Thakur ¹

Affiliations
1 Department of Mathematics and Statistics, Himachal Pradesh University, Summer Hill, Shimla-171005, IN

Abstract

An unsteady flow of dusty viscoelastic (Walter's liquid model-B) fluid past an impulsively started vertical plate through porous medium with heat source/sink in the presence of chemical reaction and thermo diffusion (Soret effect) is investigated. The constitutive equations, which are partial differential equations, are converted into ordinary differential equations and then the expressions for velocity, temperature and concentration profile are obtained. The numerical calculations are performed to point up the influence of pertinent flow parameters on velocity, temperature and concentration profile. Some important characteristics of flow field such as non-dimensional skin friction coefficient, Nusselt number and Sherwood number are also studied.

Keywords

Viscoelastic Fluid, Walter's Liquid Model-B, Porous Medium, Dusty Fluid.

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

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

Abstract

The aim of this present paper is to study free convective unsteady flow of a viscous incompressible, rotating fluid in a porous medium past an infinite vertical plate with gravity modulation to the flow region. Expressions for velocity, temperature and concentration distribution are obtained by using perturbation technique. Also the expressions for the skinfriction 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 ) and Permeability parameter (K_0) are studied through graphs. It is found that primary velocity of fluid decreases with increase of rotation parameter whereas secondary velocity is increased near to the wall. And with increase of Prandtl number velocity as well as temperature decreases. Concentration decreases with increase of Schmidt number.

Keywords

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

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Khem Chand ¹, Rakesh Kumar ², Sanjeev Kumar ¹

Affiliations
1 Department of Mathematics & Statistics, H.P. University, Shimla-171005, IN
2 Department of Mathematics, Central University, H.P. Dharamshala, IN

Abstract

The paper investigate the effect of heat and mass transfer in radiating and chemically reacting MHD oscillatory flow of viscoelastic fluid [Walter liquid model B] in a vertical channel with slip condition on one plate of the channel. The uniform magnetic field B_o is applied perpendicular to the planes of the plates. A closed form solutions of the equations governing the flow are obtained for the velocity, temperature and concentration profile. The velocity, temperature, and concentration profiles as well as skin friction coefficient and mass transfer rate are evaluated numerically and presented graphically for different value of flow parameters.

Keywords

Radiating, Chemically Reacting, MHD Oscillatory, Viscoelastic, Slip Flow Regime.

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Khem Chand ¹, Dinesh Kumar ¹, K. D. Singh ²

Affiliations
1 Department of Mathematics and Statistics, Himachal Pradesh University, Shimla-171005, IN
2 Department of Mathematics (ICDEOL), Himachal Pradesh University, Shimla-171005, IN

Abstract

An investigation of heat and mass transfer effect on incompressible chemically reacting, radiating and electrical conducting viscoelastic fluid through porous medium in porous vertical channel has been carried out. The magnetohydro dynamics (MHD) flow is assumed to be laminar and fully developed. A uniform magnetic field is applied in the direction perpendicular to the plane of the plates. The equations governing the flow are solved by perturbation technique. The velocity, temperature, concentration fields, coefficient of skin friction, rate of heat and mass transfer are evaluated numerically and discussed with the help of graphs and tables.

Keywords

Chemically Reacting, MHD, Porous Medium, Radiating, and Viscoelastic Fluid.

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