Summary
Direct numerical simulation is used to investigate the nature and behaviour of steady spanwise flow modulations excited internally in the Blasius boundary layer, primarily for a Reynolds number based on the displacement thickness (Re δ1) greater than 1,600. Both types of disturbances known — u’-/streak-/Klebanoff modes or longitudinal vortex modes — exhibit a periodic spanwise variation, but the u’-modes are characterized by a dominant streamwise disturbance velocity component and a negligible swirling motion, whereas for the vortex modes the latter is strong. We investigate how the respective modes can be identified and in which situation they are present, using direct excitation at the wall locally as well as non-locally, and nonlinear generation in the oblique and fundamental breakdown scenario in transition to turbulence. Understanding their occurrence contributes to understanding non-eigenmodal disturbance growth and secondary flow instability eventually causing final laminar breakdown.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
Andersson, P., Berggren, M., Henningson, D.S.: Optimal disturbances and bypass transition in boundary layers, layer, Phys. Fluids 11 134 (1999).
Bakchinov, A.A., Grek, G.R., Klingman, B.G.B., Kozlov, V.V.: Transition experiments in a boundary layer with embedded streamwise vortices, Phys. Fluids 7(4) 820 (1995).
Bertolotti, F.P.: Response of the Blasius boundary layer to free-stream vorticity, Phys. Fluids 9(8), 2286 (1997).
Breuer, K.S., Kuraishi, T.: Transient growth in two- and three-dimensional boundary layers, Phys. Fluids 6(6) 1983 (1994).
Criminale, W.O., Drazin, P.G.: The initial-value problem for a modeled boundary layer, Phys. Fluids 12(2) 366 (2000).
Henningson, D.S., Lundbladh, A., Johansson, A.V.: A mechanism for bypass transition from localized disturbances in wall-bounded shear flows, J. Fluid Mech. 250, 169 (1993).
Herbert, T., Lin, N.: Studies of boundary-layer receptivity with parabolized stability equations, AIAA-Paper 93–3053 (1993).
Kloker, M., Konzelmann, U., Fasel, H.: Outflow boundary conditions for spatial Navier-Stokes simulation of transition boundary layers, AIAA J. 31(4), 620 (1993).
Luchini, P.: Reynolds-number independent instability of the boundary layer over a flat surface: Optimal perturbations. J. Fluid Mech. 404, 289–309 (2000).
Stemmer, C., Kloker, M., Wagner, S.: Navier-Stokes simulation of harmonic point disturbances in an airfoil boundary layer, AIAA J. 38(8), 1369 (2000).
Stemmer, C., Kloker, M.: Interference of wave trains with varying phase relations in a decelerated two-dimensional boundary layer, in Wagner, S., Rist, U., Heinemann, H.; Hilbig, R. (eds.): New Results in Numerical and Experimental Fluid Dynamics III. Vol. 77 of NNFM, Springer-Verlag, 239–246 (2002).
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2004 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Kloker, M., Stemmer, C. (2004). Three-dimensional steady disturbance modes in the Blasius boundary layer — a DNS study. In: Wagner, S., Kloker, M., Rist, U. (eds) Recent Results in Laminar-Turbulent Transition. Notes on Numerical Fluid Mechanics and Multidisciplinary Design (NNFM), vol 86. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-45060-3_8
Download citation
DOI: https://doi.org/10.1007/978-3-540-45060-3_8
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-07345-8
Online ISBN: 978-3-540-45060-3
eBook Packages: Springer Book Archive