The International Journal Of Engineering And Science (IJES) || Volume || 4 || Issue || 8 || Pages || PP -20-27|| 2015 || ISSN (e): 2319 – 1813 ISSN (p): 2319 – 1805 www.theijes.com The IJES Page 20 Effects of Variable Viscosity and Thermal Conductivity on MHD free Convection and Mass transfer Flow over an Inclined Vertical Surface in a Porous Medium with Heat Generation 1 Santana Hazarika , 2 G.C. Hazarika 1,2 Department of Mathematics, Dibrugarh University, Assam 786004 --------------------------------------------------------ABSTRACT----------------------------------------------------------- A steady two-dimensional MHD free convection and mass transfer flow past an inclined vertical surface in the presence of heat generation and a porous medium have been studied numerically when the fluid viscosity and thermal conductivity are assumed to be vary as inverse linear function of temperature . The governing partial differential equations are reduced to a system of ordinary differential equations by introducing similarity transformations. The non-linear similarity equations are solved numerically by applying the Runge-Kutta method of fourth order with shooting technique. The numerical results are presented graphically to illustrate influence of different values of the parameters on the velocity, temperature and concentration profiles. Skin friction, Nusselt number and Sherwood number are also completed and presented in tabular form. Keywords - Heat generation, inclined vertical surface, mass transfer, shooting method, variable viscosity and thermal conductivity. ------------------------------------------------------------------------------------------------------------------------------------------- Date of Submission: 10 August 2015 Date of Accepted: 25 August 2015 ------------------------------------------------------------------------------------------------------------------------------------------- I. INTRODUCTION Under the influence of magnetic field, the study of free convection and mass transfer flow of an electrically conducting fluid over an inclined vertical surface has considerable interest in geophysics, astrophysics and many engineering problems, such as cooling of nuclear reactors, the boundary layer control in aerodynamics. Alam et.al [1] studied the heat and mass transfer in MHD free convection flow over an inclined plate with hall current. Anghel et.al [2] investigated a numerical solution of free convection flow past an inclined surface. Subhakar et. al [3] studied the Soret and Dufour effects on MHD free convection heat and mass transfer flow over a stretching vertical plate with suction and heat source/sink. The study of the flow through porous medium has some important applications in engineering and geophysics such as chemical engineering for filtration and purifications process, agriculture engineering to study the underground water resources, and petroleum technology to study the movement of natural gas, oil and water through the oil reservoirs. Chandra et. al [4] studied heat and mass transfer along an isothermal vertical porous plate in the presence of heat sink. Sharma et. al. [5] studied the effects of dusty viscous fluid on MHD free convection flow with heat and mass transfer past a vertical porous plate The study of the heat generation or absorption in moving fluids is important problems dealing with chemical reactions and those concerned with dissociating fluids. Reddy [6] studied the effects of heat generation and radiation on steady MHD free convective flow of micro polar fluid past a moving surface and they [7] also observed the MHD free convection heat and mass transfer flow past an inclined vertical surface in a porous medium with heat generation. Islam et. al [8] discussed the MHD free convection and mass transfer flow with heat generation through an inclined plate. Most of these studies are based on constant physical properties. More accurate prediction for the flow and heat transfer can be determined by variation of these properties with temperature. Several investigators have studied the effects of temperature dependent viscosity and thermal conductivity properties of fluid. But temperature dependent physical properties like viscosity of the fluid and thermal conductivity plays a significant role in fluid mechanics. It plays a great role in underground storage system and geothermal energy extraction. Khound et. al. [9] observed that a significant variation of velocity distribution and temperature distribution take place with the variation of viscosity parameter and thermal conductivity parameter.