Three Dimensional MHD Viscous Flow Under the Influence of Thermal Radiation and Viscous Dissipation

Abstract

The present study elucidates the results on the mathematical modeling and numerical study for the viscous flow demeanor past over the plane horizontal surface stretched nonlinearly in two sideways. Furthermore, a comprehensive analysis on the effects of magnetic field, thermal radiation and viscous dissipation are considered and observed. Cartesian coordinate system is employed for modelling the flow equations. In this research water act as a traditional thermal fluid. Three distinct nanoparticles namely Gold (Au), Aluminum (Al) and Silver (Ag) are suspended. Numerical and analytical solution for the resulting differential equations demonstrates the flow demeanor for velocity and temperature distribution are transformed into ordinary differential equations by aiding the suitable transformations. The accuracy of exact solution is also validated by using shooting method in MATHEMATICA 10.0. The impacts of multifarious parameters particularly Eckert number, Prandtl number, Magnetic parameter and heat source parameter for the suspended nanoparticles on velocity and temperature are given through graphs.