Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4992231 | European Journal of Mechanics - B/Fluids | 2018 | 5 Pages |
â¢Turbulent far-wake flow downstream of a cylinder is analyzed by a generalized similarity method.â¢This method is then applied to the problem of an array of cylinders.â¢Both the turbulent and laminar far-wake flow cases are analyzed for the latter problem.
The nonlinear momentum equation for turbulent far-wake flow downstream of a cylinder is derived from the Reynolds averaged Navier-Stokes equations and solved by iteration and generalized similarity solution. The first-order Oseen-type linearization yields for the wake boundary layer width a series, whose terms vary as x 1â2, xâ1â2, xâ3â2 etc., where x is the streamwise distance from the center of cylinder. The velocity deficit from the free-stream velocity is similarly obtained as a series and the iteration is carried over to a second-order. This method is then applied to the problem of an array of cylinders. Both turbulent and laminar far-wake flow cases are analyzed. The series solutions broadly extend the earlier findings. The first-order solutions agree in form with those stated in the book of Schlichting (1979).
Graphical abstract Download high-res image (146KB)Download full-size image