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Linear global instability of non-orthogonal incompressible swept attachment-line boundary layer flow

Pérez, J. M. and Rodríguez, D. and Theofilis, V. (2011) Linear global instability of non-orthogonal incompressible swept attachment-line boundary layer flow. In: 6th AIAA Theoretical Fluid Mechanics Conference. American Institute of Aeronautics and Astronautics , Reston, VA, Art. No. 2011-3606. ISBN 9781624101441. https://resolver.caltech.edu/CaltechAUTHORS:20190930-110457662

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Abstract

Instability of the orthogonal swept attachment line boundary layer has received attention by local and global analysis methods over several decades, owing to the significance of this model to transition to turbulence on the surface of swept wings. However, substantially less attention has been paid to the problem of laminar flow instability in the non-orthogonal swept attachment-line boundary layer; only a local analysis framework has been employed to-date. The present contribution addresses this issue from a linear global (BiGlobal) instability analysis point of view in the incompressible regime. Direct numerical simulations have also been performed in order to verify the analysis results and unravel the limits of validity of the Dorrepaal basic flow model analyzed. Cross-validated results document the effect of the angle α on the critical conditions identified by Hall et al. and show linear destabilization of the flow with decreasing AoA, up to a limit at which the assumptions of the Dorrepaal model become questionable. Finally, a simple extension of the extended Görtler-Hämmerlin ODE-based polynomial model proposed by Theofilis et al. is presented for the non-orthogonal flow. In this model, the symmetries of the three-dimensional disturbances are broken by the non-orthogonal flow conditions. Temporal and spatial one-dimensional linear eigenvalue codes were developed, obtaining consistent results with BiGlobal stability analysis and DNS. Beyond the computational advantages presented by the ODE-based model, it allows us to understand the functional dependence of the three-dimensional disturbances in the non-orthogonal case as well as their connections with the disturbances of the orthogonal stability problem.


Item Type:Book Section
Related URLs:
URLURL TypeDescription
https://doi.org/10.2514/6.2011-3606DOIArticle
Additional Information:© 2011 by J. M. Perez and D. Rodriguez and V. Theofilis. Published by the American Institute of Aeronautics and Astronautics, Inc., with permission.
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AIAA Paper2011-3606
Record Number:CaltechAUTHORS:20190930-110457662
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20190930-110457662
Official Citation: Linear global instability of non-orthogonal incompressible swept attachment-line boundary layer flow. Jose Perez, Daniel Rodriguez, and Vassilios Theofilis. 6th AIAA Theoretical Fluid Mechanics Conference. June 2011. https://doi.org/10.2514/6.2011-3606
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:98930
Collection:CaltechAUTHORS
Deposited By: George Porter
Deposited On:07 Oct 2019 14:35
Last Modified:07 Oct 2019 14:35

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