Variable thickness with Ohmic heating and viscous dissipation effect on MHD Casson-nanofluid flow through a porous media

The magneto -hydrodynamic (MHD) flow of non -Newtonian nanofluid with variable thermal conductivity past a moving surface of variable thickness has been investigated in the present work. The flow in this discussion obeys Casson model through a porous medium. Moreover, the effects of thermal radiation, heat generation, Ohmic heating, viscous dissipation and chemical reaction are taken into account. The governing non-linear partial differential equations (PDEs) which describe the velocity, temperature and nanoparticle concentration are converted to a non-linear system of ordinary differential equations (ODEs) using similarities transformation. The obtained system of equations is solved by using a numerical technique with the help of shooting method. The impacts of various parameters on the fluid behaviour are discussed and illustrated graphically via a set of figures. It is found that the velocity increases with increasing of the magnetic field parameter. Also, the temperature increases as the thermal radiation parameter rises. Moreover, an increment in the Brownian motion parameter causes a reduction in nanoparticle concentration.