Effects of chemical reaction and magnetic field on a couple stress fluid over a non-linearly stretching sheet

The boundary layer flow of an electrically conducting couple stress fluid over a non-linear stretching sheet is investigated in the presence of chemical reaction and magnetic field. The governing partial differential equations are reduced to coupled ordinary differential equations (ODEs) with the corresponding appropriate boundary conditions. The analytical solutions of the resulting ODEs have been obtained via the homotopy analysis method (HAM) in the form of series, and their convergence regions can also be found by the convergence control auxiliary parameter. The influence of pertinent parameters such as the magnetic, the couple stress and the chemical reaction parameters are discussed on the velocity and concentration profiles of the fluid. Hence, a comparison has been made with the previous results in the literature as a limiting case of the considered problem.