Unsteady flow of viscous fluid over the vacillate stretching cylinder
In this paper, we consider the unsteady boundary layer flow of an incompressible viscous fluid produced by periodic motion of an elastic cylinder. The number of independent variables involved in the governing partial differential equations is reduced by using the similarity transformation. The transformed equations are then solved numerically with the help of a finite difference scheme by altering the semi-infinite domain to a finite domain. The numerical results are compared with a previously published work and a good agreement is achieved. The imperative parameters rising in the governing equations because of the effects of oscillations and the curvature are St (Strouhal number), Re (Reynolds number), and epsilon (amplitude of oscillations). The effects of these parameters on the vacillating velocity and the skin friction are discussed through graphs and tables. The large values of Re correspond to small curvature, so for large Reynolds number the solution approaches to that of the stretching flat plate case. Copyright (c) 2011 John Wiley & Sons, Ltd.
unsteady boundary layer flow oscillatory stretching cylinder numerical solution