Heat and mass transfer in thin nanoliquid film over an unsteady stretching sheet in a porous medium with chemical reaction and thermal radiation

In this paper, an unsteady two-dimensional nanofluid flow past a stretching sheet in the presence of a chemical reaction and thermal radiation embedded in a porous medium has been investigated. The boundary layer equations are transformed into ordinary differential equations with the help of similarity transformed and then these equations are solved numerically by standard techniques. The velocity, temperature gradient and nanoparticle concentration gradient profiles are presented graphically for various physical parameters such as thermal radiation?and porous parameters, Prandtl number, Eckert number, chemical reaction and Brownian motion parameters. It is found that the temperature gradient profiles increase with an?increase in the thermal radiation parameter in the range , whereas opposite effects are observed in the range . Also, it is seen that the velocity profile decreases in the presence of a porous medium.