ISSN: 2319-5967 ISO 9001:2008 Certified International Journal of Engineering Science and Innovative Technology (IJESIT) Volume 2, Issue 4, July 2013 132 Abstract— Similarity transformation is used to convert the governing non-linear partial differential equations into non linear ordinary differential equations. The two- point boundary value problem arising in the study is solved using the differential transform method combined with rational approximation. Convergence of the infinite power series is checked in the computation process for each parameter’s combination and similarly the decision regarding infinity is made. Assistance is taken from the Shooting method based on RK45 and Newton-Raphson method in specifying the unknown initial values. The component of the streamline and the temperature distribution are found to be decreasing functions of the transverse coordinate, the effect of Buoyancy parameter, Suction parameter, Prandtl number, Radiation parameter, Eckert number and stream function. These profiles are clearly presented through figures. The present study has applications in fluid dynamical problems involving thin films. Index Terms— Boundary layer, Buoyancy parameter, Suction parameter, Prandtl number, Radiation parameter, Eckert number, heat transfer, Differential transform method, Padé approximant, Shooting method. I. INTRODUCTION Boundary layer flow and heat transfer over a linearly stretched surface has received considerable attention in recent years, because of its various applications in engineering and metallurgical problems such as hot rolling, wire drawing, metal and plastic extrusion, continuous casting, glass fiber production, crystal growing, paper production. Sakiadis [1] was the first person to study about boundary layer flow over a stretched surface moving with a constant velocity. Erickson et al.[2] extended the work of Sakiadis [1] and later Chen and Char [3], Elbashbeshy[4] investigated the effects of variable surface temperature and heat flux on the heat transfer characteristics of a linearly stretched sheet subject to blowing or suction. The study of heat generation or absorption in moving fluids is important in problems dealing with chemical reactions and these concerned with dissociating fluids. Possible heat generation effects may affect the temperature distribution consequently, the particle deposition rate in nuclear reactors, electronic chips and semi conductor wafers. Vajravelu and Hadjinicalaou [5] studied the heat transfer characteristics over a stretching surface with viscous dissipation in the presence of internal heat generation or absorption. The problem of natural convection along a vertical isothermal or uniform flux plate is a classical problem. However, Gebhart [6] studied the problem by considering viscous dissipation. Recently, Copiello and Fabbri [7] studied the effect of viscous dissipation on the heat transfer in sinusoidal profile finned dissipaters, Alam et al. [8] considered the effect of viscous dissipation in natural convection over a sphere. Pantokratoras [9] studied the effect of viscous dissipation in natural convection in a new way. However, in this work we have investigated the combined effect of thermal radiation, heat generation and viscous dissipation on steady free convection heat transfer flow over a stretching sheet. II. MATHEMATICAL FORMULATION Major headings should be typeset in boldface with the first letter of important words capitalized. A steady two dimensional free convection laminar boundary layer flow of a viscous incompressible fluid along a stretching sheet with heat generation under the influence of thermal radiation and viscous dissipation is considered in (Fig.1). The x-axis is taken along the stretching sheet in the vertically upward direction and the y-axis is taken as normal to the sheet. Two equal and opposite forces are introduced along the x-axis, so that the sheet is stretched keeping the origin fixed. The plate is maintained at a constant temperature w T and the ambient temperature of the flow is  T . The fluid is considered to be gray, absorbing – emitting radiation but non- scattering medium and the Rosseland approximation is used to describe the radioactive heat flux in the energy equation. The radioactive heat flux in the x-direction is considered negligible in comparison to the y-direction. Forced Flow of a Newtonian Fluid Due to a Vertical Stretching Sheet with Viscous Dissipation Neeti Ghiya, T. Kavitha Department of Mathematics, RVCE, Bangalore