On vortex perturbations in a free-interacting boundary layer |
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Authors: | V I Zhuk |
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Institution: | 1. Ohara graduate school of accounting, 2-2-10 Nishi-Kanda, Chiyoda-Ku, Tokyo, Japan;2. Graduate School of Mathematical Sciences, 3-8-1 Komaba, Meguro-Ku, Tokyo, Japan |
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Abstract: | Large-scale structures with an inviscid, non-linear subdomain (deck) on the bottom of a boundary layer in the case of subsonic and transonic free stream velocities are considered. A class of locally inviscid perturbations with an internal line of discontinuity of the tangential velocity, which leads to the appearance of a free term on the right-hand side of the Benjamin-Ono equations, is investigated. The shape of the above-mentioned line is sought and it is determined from the solution of a system of one-dimensional non-stationary equations in which, apart from the Benjamin-Ono equation, a kinematic condition and an equation for the inviscid deck close to the wall also occur. An example of a periodic, non-linear solution is constructed and amplitude constraints which ensure its realization are formulated. |
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