Abstract
The combined effects of a transverse velocity component, a growth of a boundary layer and a transverse curvature cause a self-induced favorable pressure gradient for the flow on a rotating circular cylinder in an axial flow. When an external pressure gradient is adverse, the effect of this favorable pressure gradient influences the boundary layer separation and the flow development downstream of the separation point. The types of post-separation behavior can be classified into several flow patterns varying with the ratio of the transverse surface velocity to the typical axial velocity. In this study, by perturbing the solution at some surface velocity, the solution for a slightly different surface velocity is obtained, and the influence of the change in the surface velocity to typical axial velocity ratio is investigated. The first- and second-order perturbations are calculated, and it is shown that the change in flow pattern can be predicted by the present perturbation method.
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