Abstract
The unsteady behavior of a stagnation point boundary layer is studied for the case of the external velocity undergoing a time dependent change from an initial steady state to a final one. For small times, examination of the governing equations shows that the response to the change in the external conditions manifests itself in a new boundary layer growing underneath the original one. Separate analyses are conducted in each layer of this double structured boundary layer using compatibility of the solutions at their common point to link the solutions. A numerical procedure is used to solve the equations. It is demonstrated that the Kelley box method is ideally suited for the treatment of boundary layers containing a double structure. A simple example of such a flow is presented, and the results of the analytical and numerical solutions are shown to be in excellent agreement.
Published Version
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