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M. Kornfeld, A. Kluwick:
"Local Interaction Theory for Laminar Transonic Flows in Slender Channels";
Talk: GAMM Annual Meeting 2009, Danzig, Polen; 2009-02-09 - 2009-02-13; in: "Proceedings in Applied Mathematics and Mechanics PAMM 2009", Wiley InterScience, Volume 9, Issue 1 (2009), ISSN: 1617-7061; 467 - 468.

Transonic flows through channels so narrow that the classical boundary layer approach fails are considered. As a consequence the properties of the inviscid core and the viscosity dominated boundary layer region can no longer be determined in subsequent steps but have to be calculated simultaneously. The resulting viscous inviscid interaction problem for weakly three dimensional laminar flows is formulated for perfect gases under the requirement that the channel is sufficiently narrow so that the flow outside the viscous wall layers becomes planar in the leading order approximation. Representative solutions for subsonic as well as for supersonic flows disturbed by three dimensional surface mounted obstacles will be presented.

transonic flow, boundary layer, narrow channel, weak three-dimensional, viscous inviscid interaction