Abstract
Solutions of the partial derivative eigenvalue problem governing threedimensional (global) linear instability in incompressible steady laminar boundarylayer flow which encompasses a recirculation bubble have been obtained. Both stationary and pairs of travelling linear instabilities have been discovered, which are distinct from known solutions of the Orr-Sommerfeld equation (OSE) or the linear parabolised stability equations (PSE) instability theories, and can both become unstable. One implication is that current laminar flow control approaches based on frequency information delivered by either the OSE or the PSE are incomplete as far as travelling disturbances are concerned and inadequate for control of unstable global stationary flow eigenmodes.
In Proceedings of Laminar-Turbulent Transition Symposium V, Sedona AZ, USA, Sep. 13–17, 1999 (to appear)
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Dovgal, A. V., Kozlov, V. V., Michalke, A. (1994) Laminar boundary layer separation: Instability and associated phenomena. Prog. Aerospace Sci. 30, 6194.
Briley, W. R. (1971) A numerical study of laminar separation bubbles using the Navier-Stokes equations. J. Fluid Mech. 47, 713–736.
Hein, S., Theofilis, V., Dallmann, U. (1998) Unsteadiness and threedimensionality of steady two-dimensional laminar separation bubbles as result of linear instability mechanisms. DLR IB 223–98 A 39.
Theofilis, V. (1998) Linear instability in two spatial dimensions. Proc. Computational Fluid Dynamics Conf. ECCOMAS ‘88, Athens, Greece, 7–11 September 1998, 547–552.
Bestek, H., Gruber, K., Fasel, H. (1989) Self-excited unsteadiness of laminar separation bubbles caused by natural transition. Proc. Conf. on the Prediction and exploitation of Separated Flows, 18–20 October 1989. The Royal Aeronautical Society.
Rist, U., Maucher, U., Wagner, S. (1996) Direct numerical simulation of some fundamental problems related to transition in laminar separation bubbles. Proc. Computational Fluid Dynamics Conf. ECCOMAS ‘86, 319–325.
Theofilis, V. (1997) On the verification and extension of the Görtler-Hämmerlin assumption in three-dimensional incompressible swept attachment-line boundary layer flow. DLR IB 223–97 A 44.
Theofilis, V., Hein, S., Dallmann, U. (2000) On the origins of unsteadiness and three-dimensionality in laminar separation bubbles. Phil. Trans. Roy. Soc. London A (to appear).
Dallmann, U., Vollmers, H., Su, W.-H., Zhang, H.-Q. (1997) Flow topology and tomography for vortex identification in unsteady and in three-dimensional flows. In Proc. IUTAM Symposium on “Simulation and Identification of Organized Structures in Flows”, Lyngóy, Denmark, May 25–29, 1997.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2000 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Theofilis, V. (2000). Global linear instabilities in laminar separated boundary layer flow. In: Fasel, H.F., Saric, W.S. (eds) Laminar-Turbulent Transition. IUTAM Symposia. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-03997-7_103
Download citation
DOI: https://doi.org/10.1007/978-3-662-03997-7_103
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-08752-3
Online ISBN: 978-3-662-03997-7
eBook Packages: Springer Book Archive