ISSN 2348-1218 (print) International Journal of Interdisciplinary Research and Innovations ISSN 2348-1226 (online) Vol. 8, Issue 1, pp: (42-55), Month: January - March 2020, Available at: www.researchpublish.com
RADIATION EFFECT ON SLIP FLOW REGIME TRANSIENT MHD FLUID FLOW IN THE PRESENCE OF CHEMICAL REACTION AND SORET EFFECT D.Srinivasa Rao1*, R.David Kumar2, W.Sridhar3 1
Department of Mathematics, Adikavi Nannaya University,Rajamahendravaram,East Godawari,A.P.,India 2
Department of Mathematics, Govt.Arts College, Rajamahendravaram, East Godawari,A.P.,India
3
Department of Mathematics, Koneru Lakshmaiah Education Foundation,Vaddeswaram,Guntur,A.P.,India *Corresponding Author: srinurit@gmail.com
Abstract: The main concern of the present article is to study transient magnetohydrodynamics flow, heat and mass transfer past a permeable using 2-term perturbation scheme. The flow of liquid films are taken under the impact of thermal radiation. Effects of flow physical parameters including thermoporesis parameter(So), Schmidt number(Sc), Radiation parameter(R), Prandtl number(Pr), permeability parameter(K), slip parameter(h), chemical reaction parameter(Kc), Grashof number(Gr), modified Grashof Number(Gc) and perturbation parameter(E) on the fluid velocity, temperature and concentration distributions are scrutinized and discussed in detail. In this paper we studied two cases on velocity profiles, flow of cooled plate Gr > 0 and flow of heated plate Gr < 0. Keywords: Soret Effect, Heat and Mass Transfer, Transient, Radiation.
I. INTRODUCTION Natural or “Buoyant” or “Free” convection is a very important mechanism that is operative in a variety of environments from cooling electronic circuit boards in computers to causing large scale circulation in the atmosphere as well as in lakes and oceans that influences the weather. It is caused by the action of density gradients in conjunction with a gravitational field. This is a brief introduction that will help you understand the qualitative features of a variety of situations you might encounter. In the classical MHD flow control, the boundary layer flow of an electrically conducting fluid can be controlled by the application of an external magnetic field subjected to the condition that the electric conductivity of fluid should be high (e.g., liquid form of semiconductors, plasma, electrolytes and liquid metals). Due to the high electric conductivity of the fluid, the influence of applied external magnetic field is significant even in presence of moderate strength of the magnetic field (~1 Tesla). In addition, the application of an external electric field is not required in order to achieve an efficient flow control. In case of weakly conducting fluids (e.g., sea water) the electric current induced by the external magnetic field is too small and external electric field must be applied to control the flow separation. The Lorentz force parallel to the wall has the ability to stabilize the motion inside the boundary layer by slowing down its growth. The effects of chemical reaction and magnetic field on electrically conducting second-grade fluid flow discussed by Midya [1]. Numerous works have been reported on the combined effects of heat and mass transfer in presence of MHD and chemical reaction (see for instance Seddeek et al. [2]; Salem and Abd El-Aziz [3]; Mohamed [4]; Ibrahim et al [5]). Natural convection flow over vertical plate immersed in porous media has paramount importance because of its potential applications in soil physics, geohydrology, and filtration of solids from liquids, chemical engineering and biological
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