Heat and Mass Transfer in Radiating and Chemically Reacting MHD Oscillating Flow of Viscoelastic Fluid in Vertical Channel in Slip Flow Regime

Khem Chand¹, Rakesh Kumar² and Sanjeev Kumar¹

¹Department of Mathematics & Statistics, H.P. University-Shimla-171005, India.

²Department of Mathematics, Central University, H.P. Dharamshala, India.

*Corresponding Author E-mail : khemthakur99@gmail.com, rakesh.lect@gmail.com, sanju75sanju@gmail.com

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 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.

1. INTRODUCTION:

In technological applications, it has been generally known that non-Newtonian fluids are more appropriate and suitable than Newtonian fluids. This is perhaps due to their wide ranging applications, such as extrusion of polymer fluids, exotic lubricants, colloidal and suspension solutions, food stuffs, slurry fuels and many others. Therefore, non-Newtonian fluids have attracted the attention of a large variety of researchers including the interests of experimentalists and theoreticians like engineers, modellers, physicists, computer scientists and mathematicians. Some recent contributions in this direction are made in the investigations [1-3].

The heat transfer behaviour of viscoelastic fluid flow between parallel plates is of special interest in many engineering fields such as chemical process industries, food preservation, petroleum production and power engineering. In view of these applications, the study of boundary layer behaviour has been channelized to viscoelastic fluids. Some [4-5] studies had analysed the flow and heat transfer characteristics of Walter liquid model-B.

The role of thermal radiation is of major importance in engineering areas occurring at high temperatures and knowledge of radiative heat transfer becomes very important in nuclear power plants, gas turbines and the various propulsion devices for aircraft, missiles and space vehicles. In view of these applications [6-7] reported the significance of thermal radiation.

In many chemical engineering processes, there is the chemical reaction between a foreign mass and the fluid. These processes take place in many industrial applications such as food processing, manufacturing of ceramics, polymer production, drying, evaporation at the surface of a water body and electric power industry. Hayat et al. [8] has analysed the effect of chemical reaction with heat and mass transfer on second grade fluid. Nabil et al. [9] has analysed the Three-dimensional flow over a stretching surface in a viscoelastic fluid with mass and heat transfer.

Fluids exhibiting boundary slip are important in technological applications, such as the polishing of artificial heart valves. The non-Newtonian fluids, such as polymer melts, often exhibit macroscopic wall slip that in general is governed by a nonlinear and non-monotone relation between the slip velocity and the traction. Rao and Rajagopal [10] had analysed the effect of the slip boundary condition on the flow of fluids in a channel and Zheng et al. [11] analysed the slip effects on MHD flow of a generalized Oldroyd-B fluid with fractional derivative. The effect of slip condition on various problems had been examined by [12-13]

Motivated by the above investigations and applications we purpose to analyse the flow of viscoelastic incompressible, electrically conducting, chemically reacting and radiating fluid in vertical channel. The flow caused by presence of the oscillating pressure gradient in the presence of an uniformly applied weak magnetic field in slip flow regime.

2. REFERENCES

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Received on 14.01.2014 Accepted on 31.01.2014

Int. J. Tech. 4(1): Jan.-June. 2014; Page 128-133