Unsteady linear viscoelastic fluid model over a stretching/shrinking sheet in the region of stagnation point flows

In this paper, a mathematical model for the unsteady stagnation point flow of a linearviscoelastic fluid bounded by a stretching/shrinking sheet is presented. the developed equations are usedto discuss the problem of two-dimensional and axisymmetric flows in the region of the stagnation pointover a stretching/shrinking sheet and an axisymmetric shrinking sheet. the nonlinear partial differentialequations are transformed to ordinary differential equations, first taking boundary layer approximationsinto account and then using similarity transformations. the resulting nonlinear problems are solved bya homotopy analysis approach. the significant features of the obtained series solutions are discussedby graphs. to the best of our knowledge, the homotopy analysis method solution for unsteady linearviscoelastic fluid over a stretching/shrinking sheet with stagnation point flow is presented for the firsttime in the literature.