Abstract
The response of the compressible boundary layer to small fluctuations of the outer flow is investigated. The governing equations and the appropriate boundary conditions are formulated for the first time in considerable generality. It appears that the outer flow properties do not oscillate in phase with each other. Such phase differences are augmented as one proceeds across the boundary layer. Solutions are presented for small amplitudes in the form of asymptotic expansions in powers of a frequency parameter. Ordinary but coupled nonlinear differential equations are derived for self-similar flows. Results are presented for a steady part of the solution that corresponds to flat plate and stagnation flows and oscillations of the outer flow in magnitude or direction.
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