Modeling of Unsteady Two-Phase Flow over a Stretching Sheet with Analysis of Heat and Mass Transfer due to Electrification of Particles and Viscous Dissipation

Abstract: This paper is intended to investigate the effect of electrification of particles, terms related to the heat added to the system to slip-energy flux and heat due to conduction and viscous dissipation in the energy equation of the particle phase in simulating the boundary layer flow and heat transfer in presence of heat generation/absorption, radiation and electrification of particles over a stretching sheet. The governing partial differential equations of the flow field are reduced into first order ordinary differential equations using similarity transformations and then solved numerically using Runge-Kutta method with shooting technique. Numerical results obtained to study the effects of various parameters like Prandtl Number, Eckert Number, Grashof Number, electrification parameter, radiation parameter, and heat source/sink parameter on dimensionless velocity, temperature as well as the skin friction and Nusselt number. Comparison of the obtained results is made with existing literature and graphical study is performed to explain the inter relationship between parameters and velocity, parameters and heat transfer. The rate of heat transfer at the surface and skin friction increases with increasing values of electrification parameter M. Thermal boundary layer thickness of fluid phase increases but thermal boundary layer thickness of dust phase decrease for the enhanced values of diffusion parameter ε.