An analytical solution of low-Reynolds-number flows between two stretchable disks

In this study, the problem of the flow between two stretchable infinite disks with accelerated stretching velocity is presented and the homotopy perturbation method (HPM) is employed to compute an approximation solution of the steady-state Navier-Stokes equations in cylindrical coordinates. An attempt was made to present the capabilities and wide-range applications of the homotopy perturbation method vis-a-vis the earlier methods in the solving system of nonlinear differential equations. By increasing the stretching Reynolds numbers (R), the fluid begins with a creeping type flow at R ∼ 0 to a typical boundary layer type flow for large Reynolds numbers. A comparison between the equations of this paper and the numerical results in the literature shows that HPM equations are applicable up to R ∼ 25 approximately.