On explicit, purely analytic solutions of off-centered stagnation flow towards a rotating disc by means of HAM

In this article, the off-centered stagnation flow towards a rotating disc is studied analytically. The governing non-linear equations and their associated boundary conditions are transformed into coupled non-linear ordinary differential equations. The series solution of the problem is obtained by utilizing the HAM. The convergence of the obtained series solutions is carefully checked. Graphical results are presented to investigate the influence of the rotation ratio on the flow field. An important point to note is that the non-alignment complicates the flow field and surface shear, but does not affect the torque. It is noted that the behavior of the HAM solution for velocity components is in good agreement with the numerical solution given in reference [C.Y. Wang, Off-centered stagnation flow towards a rotating disc, Int. J. Eng. Sci. 46 (2008) 391–396].