Darcy Forchheimer flow of Williamson fluid past a stretching sheet with variable thermal conductivity

The primary objective of this experiment is to examine the flow of a micropolar fluid through porous regime with microrotation in presence of magnetic field. The partial differential equations are first transformed into a coupled system of ODEs using appropriate similarity transformations. To solve the system of ODEs, BVP4C solver has been employed with relative tolerance of 10-6. To make sure the present study is stable and convergent, all the outcomes are compared to the earlier findings. The impression of various parameters on velocity, temperature and microrotation profile are illustrated with the help of graph. The graph of entropy generation and skin friction and Nusselt number is also plotted against various governing parameters. Through this investigation it is found that Nusselt number can be increases by regulating the porous parameter and the viscosity of the Williamson fluid. The drag at the surface can be minimized by increasing the strength of magnetic field and Williamson fluid parameter. The implication of this study can be found in industrial field where entropy of the system plays an important role for better performance and stability.