International Journal of Engineering and Technical Research (IJETR) ISSN: 2321-0869, Volume-3, Issue-1, January 2015 244 www.erpublication.org The Effect of Radiation on Boundary Layer Flow and Heat Transfer of Unsteady Dusty Fluid over a Stretching Sheet with Electrification of Particles Aswin Kumar Rauta, Saroj Kumar Mishra Abstract:-The unsteady, viscous, incompressible, boundary layer flow with heat and mass transfer in the presence of radiation and electrification of particles over a stretching sheet is numerically studied. The approach is based on the two-phase formulation where both phases are treated as continuum. With the appropriate similarity transformations the governing partial differential equations are reduced into ordinary differential equations, and then the Runge-Kutta 4th-order method coupled with Shooting technique is applied to find the solutions of the problem using Fortran-77. A number of qualitative distinct potential scenarios are predicted. These include the effect of unsteady parameter, Radiation parameter, Electrification Parameter, Prandtl number, Eckert number, Volume fraction, Fluid interaction parameter etc. Their effects on the flow and heat transfer are investigated with help of tables and graphs. The investigation reveals that the electrification of particles contributes to enhance the temperature of particle phase. The effect of radiation enhances significantly the temperature of both phases. It is also found that the thermal and momentum boundary layer thickness decreases with the increase of unsteady parameter. AMS classification 76T10, 76T15 Index Terms—Unsteady parameter, Radiation parameter, Electrification parameter, Volume fraction, Fluid-Particle interaction parameter, Boundary layer flow, Stretching sheet, Eckert number, Prandtl number, Shooting Technique. I. INTRODUCTION The flow and heat transfer over a stretching surface is important for its wide area of applications such as cooling of nuclear reactor, aerospace component production metal casting, food processing, lubrication, heat removal from nuclear fuel debris, the aerodynamic extrusion of plastic sheet, glass blowing, cooling or drying of papers, drawing plastic films, extrusion of polymer melt-spinning process and rolling and manufacturing of plastic films and artificial fibers cooling industry of dying etc. The importance of such flow problems involving high temperature regime lies in the fact that the mechanical properties of final product are influenced by stretching rate and the rate of cooling The rate of stretching is important as rapid stretching Manuscript received January 23, 2015. Aswin Kumar Rauta, Department of Mathematics, S.K.C.G. College, Paralakhemundi, Odisha, India. Saroj Kumar Mishra, Centre for Fluid Dynamics Research, C. U. T. M., Paralakhemundi, Odisha, India.results in sudden solidification, thereby destroying the properties expected for outcomes. In fact radiative heat transfer cannot ignore in the industrial process involving high temperature regime and good working knowledge of it helps designing pertinent equipment. Due to wide area of applications and simple geometry many researchers have studied boundary layer flow and heat transfer over a stretched surface and have presented the numerical and analytical solutions for various flow characteristics. Crane [11] has studied Flow past a stretching plate. Chen [4] investigated Laminar Mixed convection Adjacent to vertical continuity stretching sheet. Grubka et.al [7] investigated the temperature field in the flow over a stretching surface when subject to uniform heat flux. Vajravelu et.al. [22] have investigated the Hydromagnetic flow of a dusty fluid over a stretching sheet. Sharidan[20] presented similarity solutions for unsteady boundary layer flow and heat Transfer due to stretching sheet . K.M.Chakrabarti[10] has studied the Boundary Layer in a dusty gas. B.J. Gireesha et.al [1,2,3] have studied the effect of various parameter such as unsteady parameter , magnetic parameter, source/sink parameter, radiation parameter on the boundary layer flow and heat Transfer of a dusty fluid over a stretching surface. They have examined the Heat Transfer characteristics for two types of boundary conditions namely variable wall temperature and variable Heat flux. H.I.Anderson et.al.[8] have studied MHD flow of a power law fluid over a stretching sheet. R.N.Jat et.al.[16] have studied MHD Flow and Heat Transfer over an Exponential stretching Sheet with Viscous Dissipation and Radiation Effect . G.K.Ramesh et.al [5,6] have investigated the momentum and heat transfer characteristics in hydrodynamic flow of dusty fluid over a stretching sheet with non uniform heat source/sink and radiation. Paresh Vyas et.al.[15] have investigated the Dissipative MHD Boundary-Layer Flow in a Porous Medium over a Sheet Stretching Nonlinearly in the presence of Radiation . In view of the above literature survey, since investigations were restricted to flow and heat transfer without taking both radiation and electrification of particles into account, an attempt has been made to study the effect of different flow parameters on unsteady boundary layer and heat transfer of a dusty fluid over a stretching sheet in presence of radiation and electrification of particles. Here, the particles will be allowed to diffuse through the carrier fluid i.e. the random motion of the particles shall be taken into account because of the small size of the particles. This can be done by applying the kinetic theory of gases and hence the motion of the particles across the streamline due to the concentration and pressure diffusion. We have considered the terms related to the heat added to the system to slip-energy flux in the energy equation of particle phase, The momentum equation for