Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
759382 | Communications in Nonlinear Science and Numerical Simulation | 2012 | 5 Pages |
In this paper, the viscous flow on the outside of an expanding or contracting cylinder is studied. The governing Navier–Stokes equations are transformed into a similarity equation, which is solved by a shooting method. The solution is an exact solution to the unsteady Navier–Stokes equations. Results show both trivial and non-trivial solutions. For trivial solutions, there is no axial flow induced during the cylinder expansion or contraction. However, for the non-trivial solutions which only exist for cylinder expansion, an axial flow is generated and its strength increases with the increase in expansion speed.
► Exact solutions of Navier–Stokes equations are found. ► Similarity solution for viscous flow over an expanding/contracting cylinder. ► Cylinder expansion generates an axial flow. ► Axial flow strength increases with the increase in expansion speed.