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G. Meyer, A. Kluwick:
"Shockregularisation in dense gases by viscous inviscid interaction";
Vortrag: XXII International Congress of Theoretical and Applied Mechanics (ICTAM 2008), Adelaide, SA, Australien; 24.08.2008 - 29.08.2008; in: "XXII International Congress of Theoretical and Applied Mechanics - CD-ROM Proceedings", Jim Denier, M. Finn, T. Mattner (Hrg.); (2008), ISBN: 978-0-9805142-1-6; 2 S.

Transonic flows through channels which are 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 subsequently steps but have to be calculated simultaneously. The resulting interaction problem for laminar flows is formulated for both perfect gases and dense gases with mixed nonlinearity (BZT fluids). The regularising properties of the mechanism of viscous inviscid interactions on the various shock solutions possible in the flow of dense gases with mixed nonlinearity will be discussed by showing the consistency of the solutions for the internal shock profiles due to the interaction process with admissibility criteria formulated in the literature for the inviscid case. Representative solutions for the internal structure of weak rarefaction, sonic, double sonic and split shocks will be presented.

transonic flow, dense gases, viscous inviscid interaction, shock regularisation

Projektleitung Christian Schmeiser:
Differentialgleichungsmodelle in den Natur- und den Technischen Wissenschaften