Title: Classical boundary layer behavior in the vicinity of a curvature jump of the wall contour
Other Titles: Klassisches Grenzschichtverhalten in der Nähe eines Konturkrümmungssprunges
Language: English
Authors: Vodinská, Jarmila 
Qualification level: Diploma
Advisor: Braun, Stefan  
Issue Date: 2014
Vodinská, J. (2014). Classical boundary layer behavior in the vicinity of a curvature jump of the wall contour [Diploma Thesis]. reposiTUm. https://resolver.obvsg.at/urn:nbn:at:at-ubtuw:1-75048
Number of Pages: 45
Qualification level: Diploma
Laminar flow past a parametrized family of semi-infinite thin bodies with adjustable curvature jump in their contour is investigated according to Prandtl's classical (first order) boundary layer theory. Accounting for the slenderness a perturbation ansatz is used to derive a potential flow solution as an approximation for the part of the surrounding flow, where viscosity effects can be neglected. The assumption of a slightly perturbed oncoming flow is violated in close vicinity of the leading edge stagnation point, where a local solution is found in an appropriately stretched coordinate system. Both solutions are combined in the spirit of matched asymptotic expansions using Van Dyke's matching rule to receive a uniformly valid approximation (compound solution) for the velocity distribution at the surface, which defines the prescribed pressure distribution along the viscous boundary layer in the immediate neighborhood of the solid wall. Finally, the boundary layer equations are derived and numerically solved for increasing strength of the curvature discontinuity at the surface. The break-down of the classical boundary layer theory is indicated by the occurrence of a Goldstein-singularity at the location of the curvature jump independent of its magnitude. This outcome suggests the application of advanced asymptotic concepts to the presented problem to account for the interaction between the boundary layer and the external flow (i.e. triple-deck theory).
Keywords: Grenzschichttheorie; Strömungsablösung
boundary layer theory; flow separation
URI: https://resolver.obvsg.at/urn:nbn:at:at-ubtuw:1-75048
Library ID: AC12095900
Organisation: E322 - Institut für Strömungsmechanik und Wärmeübertragung 
Publication Type: Thesis
Appears in Collections:Thesis

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