The dynamics of transition to turbulence in plane Couette flow

@inproceedings{Viswanath2008TheDO,
  title={The dynamics of transition to turbulence in plane Couette flow},
  author={Divakar Viswanath},
  year={2008}
}
In plane Couette flow, the incompressible fluid between two plane parallel walls is driven by the motion of those walls. The laminar solution, in which the streamwise velocity varies linearly in the wall-normal direction, is known to be linearly stable at all Reynolds numbers (Re). Yet, in both experiments and computations, turbulence is observed for Re & 360. In this article, we show that when the laminar flow is perturbed on to the transition threshold, the flow approaches either steady or… CONTINUE READING

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References

Publications referenced by this paper.
Showing 1-10 of 22 references

Henningson. Bounds for threshold amplitudes in subcritical shear flows

G. Kreiss, A. Lundbladh, D.S
Journal of Fluid Mechanics, • 1994
View 7 Excerpts
Highly Influenced

Transition to turbulence in plane Poiseuille and plane Couette flow

S. A. Orszag, L. C. Kells
Journal of Fluid Mechanics, • 1980
View 3 Excerpts
Highly Influenced

Laminarization of minimal plane Couette flow: going beyond the basin of attraction of turbulence

G. Kawahara
Physics of Fluids, • 2005
View 1 Excerpt

Transition threshold and the self-sustaining process

F. Waleffe, J. Wang
IUTAM Symposium on Laminar-Turbulent Transition and Finite Amplitude Solutions. Springer, • 2005
View 3 Excerpts

Homotopy of exact coherent structures in plane shear flows

F. Waleffe
Physics of Fluids, • 2003
View 3 Excerpts

Exact coherent structures in channel flow

F. Waleffe
Journal of Fluid Mechanics, • 2001
View 1 Excerpt

Three-dimensional coherent states in plane shear flows

F. Waleffe
Physical Review Letters, • 1998
View 1 Excerpt

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