www.tjprc.org editor@tjprc.org UNSTEADY HYDROMAGNITIC FREE CONVECTIVE HEAT TRANSFER FLOW OF VISCO-ELASTI C FLUID THROUGH POROUS MEDIUM WITH HEAT SOURCE AND VISCOUS DISSIPATION D. PRAVEENA 1 , S. V. K.VARMA 2 , C. VEERESH 3 & M. C. RAJU 4 1,2,3 Department of Mathematics, S. V. University, Tirupati, Andhra Pradesh, India 4 Department of Humanities and Sciences, Annamacharya Institute of Technology and Sciences Rajampet (Autonomous), Rajampet, Andhra Pradesh, India ABSTRACT An investigation has been made to study MHD boundary layer flow of visco-elastic fluid of combined heat source and viscous dissipation over a moving inclined plate through the porous media with constant heat flux. The governing equations are solved by Perturbation method. The effect of various physical parameters on the velocity and temperature distributions of the flow filed are discussed and shown through graphs. The results are analysed for various physical parameters such as magnetic field, Grashof number, Schmidt number, Prandtl number, Eckert number, porosity and heat absorption. we observed that visco-elastic parameter increases the velocity slightly significant and also thermal boundary layer thickness slightly increases as the visco-elastic parameter is considerably significant. KEYWORDS: MHD, Porous Medium, Heat Source, Viscous Dissipation, Non-Newtonian Fluid Received: Oct 07, 2015; Accepted: Oct 19, 2015; Published: Oct 26; Paper Id.: IJMCARDEC20151 1. INTRODUCTION Natural convection flow over vertical surfaces 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 systems. Study of fluid flow in porous medium is based upon the empirically determined Darcy’s law which accounts for the drag exerted by the porous medium analysed by joseph and neild [5]. Ingham and Pop [19] have investigated the problem of transport phenomena in porous media. Such flows are considered to be useful in diminishing the free convection, which would otherwise occur intensely on a vertical heated surface. Gomaa and Taweel [21] have examined the effect of oscillatory motion on heat transfer about vertical flat surfaces. The heat transfer enhancement of oscillatory flow in channel with periodically upper and lower walls mounted obstacles has been analyzed by Abdelkader and Lounes [22]. Singh [7] analyzed the MHD free convective flow past an accelerated vertical porous plate by finite difference method. The study of non- Newtonian fluids offers many interesting and exciting challenges due to their technical relevance in modelling fluids with complex rheological properties(such as polymer melts, synovial fluids, paints, etc). Visco-elastic fluids also present some highly peculiar characteristics and mathematical features such as the non-unidirectional nature of the flow of such fluids and the increase in the order of the differential equations characterizing such flows analized by Ariel [20]. A lot of work on the flow and heat transfer characteristics of non-Newtonian fluids has also Original Article International Journal of Mathematics and Computer Applications Research (IJMCAR) ISSN(P): 2249-6955; ISSN(E): 2249- 8060 Vol. 5, Issue 6, Dec 2015, 1-16 © TJPRC Pvt. Ltd