Series solution of unsteady boundary layer flows of non-Newtonian fluids near a forward stagnation point

In this paper, the unsteady viscous flow of non-Newtonian fluids near the forward stagnation point of a two-dimensional body is studied analytically. By using the homotopy analysis method, a convergent series solution is obtained, which is uniformly valid for all dimensionless time in the whole spatial region 0≤η<∞0≤η<∞. Besides, the effects of integral power-law index of the non-Newtonian fluids on the flow are investigated. To the best of our knowledge, such kind of series solutions have never been reported for this problem.