Viscous Swirling Flow over a Stretching Cylinder

We investigate a viscous flow over a cylinder with stretching and torsional motion. There is an exact solution to the Navier–Stokes equations and there exists a unique solution for all the given values of the flow Reynolds number. The results show that velocity decays faster for a higher Reynolds number and the flow penetrates shallower into the ambient fluid. All the velocity profiles decay algebraically to the ambient zero velocity.