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On the interaction of a 2‐dimensional transonic turbulent boundary layer with a localized 3‐dimensional disturbance
Author(s) -
Kluwick A.,
Kronberger R.
Publication year - 2001
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.20010811517
Subject(s) - transonic , supersonic speed , boundary layer , perturbation (astronomy) , mechanics , physics , shock wave , disturbance (geology) , conservative vector field , shock (circulatory) , boundary layer control , turbulence , boundary (topology) , blasius boundary layer , aerodynamics , classical mechanics , boundary layer thickness , mathematics , mathematical analysis , geology , medicine , paleontology , quantum mechanics , compressibility
If a weak normal shock wave impinges on a fully attached transonic turbulent boundary layer, a three layer structure develops. In the outer defect region the solution of the interaction problem may be described as an irrotational perturbation to the oncoming stream. Hence a potential can be introduced, which is governed by a generalized transonic small‐disturbance equation. In the present study it is shown that, for a suitable scaled problem, the interaction of the incoming boundary layer with a small 3‐dimensional obstacle can be described by an equation of similar type. Numerical studies are carried out focusing on the formation of the local supersonic region within the defect region of the boundary layer.