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The unsteady evolution of the singularity at separation

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Summary

The unsteady boundary layer equations are studied close to a separation point. A perturbation procedure, based on an idea of Kaplun, leads to a nonlinear integro-differential equation for the skin-friction. A uniformly valid small-time analysis of this equation shows how an initial square-root singularity at a separation point is smoothed out by unsteady processes.

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Buckmaster, J. The unsteady evolution of the singularity at separation. J Eng Math 7, 223–230 (1973). https://doi.org/10.1007/BF01535283

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  • DOI: https://doi.org/10.1007/BF01535283

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