The occurrence of separation in oscillatory flow

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Abstract
In this short note we use the results of numerical solutions of the unsteady Navier–Stokes equations to study the occurrence of separation in unsteady flow. The structure of a flow cycle depends strongly on the Strouhal number, whose value can be classified as small, intermediate or large. In each of these regions different effects are calculated, and we give guidelines for the boundaries of these regions. In particular, we show that the small-Strouhal-number region, in which quasi-steady flow is observed, is very small and decreases rapidly as the peak Reynolds number increases.

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