Summary
Investigations of the mechanisms underlying bypass transition are presented, and it is shown that a linear growth mechanism is required for energy growth. In shear flows such a mechanism is identified in the rapid transient growth of streaks produced by the three-dimensional lift-up effect. In streak breakdown, oblique transition and receptivity of three-dimensional free-stream disturbances it is shown that this transient growth is utilized as a main mechanism for disturbance growth.
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
S. Berlin, A. Lundbladh, and D. S. Henningson. Spatial simulations of oblique transition. Phys. Fluids, 6: 1949–1951, 1994.
F. P. Bertolotti, T. Herbert, and P. R. Spalart. Linear and nonlinear stability of the Blasius boundary layer. J. Fluid Mech., 242: 441–474, 1992.
L. Boberg and U. Brosa. Onset of turbulence in a pipe. Z. Naturforsch., 43a: 697–726, 1988.
K. M. Butler and B. F. Farrell. Three-dimensional optimal perturbations in viscous shear flow. Phys. Fluids A, 4: 1637–1650, 1992.
C. L. Chang and M. R. Malik. Non-parallel stability of compressible boundary layers. AIAA Paper 93-2912, 1993.
H. Fasel and A. Thumm. Direct numerical simulation of three-dimensional breakdown in supersonic boundary layer transition. Bull. Am. Phys. Soc., 36: 2701, 1991.
R. J. Gathmann, M. Si-Ameur, and F. Mathey. Numerical simulations of three-dimensional natural transition in the compressible confined shear layer. Phys. Fluids A, 5: 2946–2968, 1993.
R. D. Joslin, C. L. Streett, and C. L. Chang. Spatial direct numerical simulations of boundary-layer transition mechanisms: Validation of PSE theory. Theoret Comput Fluid Dyn., 4: 271–288, 1993.
M. T. Landahl. Wave breakdown and turbulence. SIAM J. Appl. Math, 28: 735–756, 1975.
A. Lundbladh, D. S. Henningson, and S. C. Reddy. Threshold amplitudes for transition in channel flows. Proceedings from the 1993 ICASE/NASA Langley Workshop on the Transition to Turbulence, 1993.
A. Lundbladh, P. J. Schmid, S. Berlin, and D. S. Henningson. Simulation of bypass transition in spatially evolving flows. Proceedings of the AGARD symposium on Application of direct and large eddy simulation to transition and turbulence, Chania, Crete, Greece, 18–21 april, 1994, 1994.
M. V. Morkovin. The many faces of transition. In C. S. Wells, editor, Viscous Drag Reduction. Plenum Press, 1969.
S. C. Reddy and D.S. Henningson. Energy growth in viscous channel flows. J. Fluid Mech., 252: 209–238, 1993.
P. J. Schmid and D. S. Henningson. Optimal energy density growth in Hagen-Poiseuille flow. J. Fluid Mech., 1994. (To Appear).
L. N. Trefethen, A. E. Trefethen, S. C. Reddy, and T. A. Driscoll. Hydrodynamic stability without eigenvalues. Science, 261: 578–584, 1993.
K. J. A. Westin, A. V. Boiko, B. G. B. Klingmann, V. V. Kozlov, and P. H. Alfredsson. Experiments in a boundary layer subject to free-stream turbulence. Part I: Boundary layer structure and receptivity. J. Fluid Mech., 1994. (To appear).
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1995 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Henningson, D.S., Berlin, S., Lundbladh, A. (1995). Spatial Simulations of Bypass Transition in Boundary Layers. In: Kobayashi, R. (eds) Laminar-Turbulent Transition. IUTAM Symposia. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-79765-1_31
Download citation
DOI: https://doi.org/10.1007/978-3-642-79765-1_31
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-79767-5
Online ISBN: 978-3-642-79765-1
eBook Packages: Springer Book Archive