Radiative Darcy-Forchheimer fluid Flow under Buongiorno model in a Moving Thin Needle with MHD and Entropy Generation

In this study, the Darcy-Forchheimer fluid flow in a thin needle with entropy generation is scrutinized. Nonlinear thermal radiation and MHD are considered. The consequences of Darcy flow along with Joule heating effect, Brownian motion and thermophoresis are scrutinized. Variable viscosity as well as thermal conductivity is the art of current study. To get a solution by using HAM, systems of PDEs are transmuted into non-dimensional forms by using similarity transformation. Influence of porosity parameter, Prandtl number, variable viscosity parameter, size of the needle, inertial parameter, buoyancy ratio parameter, MHD and variable thermal conductivity parameters, thermophoresis parameter and Brownian motion parameter on dimensionless cocentration, Sherwood number, velocity, temperature and Nusselt number, skin friction are explored by graphical representation. It is perceived that flow with variable thermal conductivity and viscosity is expressively dissimilar and genuine in associated with constant properties-based flow. Velocity and Temperature profile have converse influence for greater estimate of magnetic field. Larger Prandtl number declines the temperature. Amplification in values of thermal radiation parameters improved the temperature profile.