%0 Book Section %1 statphys23_0732 %A Eckhardt, B. %A Schneider, T.M. %B Abstract Book of the XXIII IUPAP International Conference on Statistical Physics %C Genova, Italy %D 2007 %E Pietronero, Luciano %E Loreto, Vittorio %E Zapperi, Stefano %K chaos statphys23 topic-5 turbulence %T How does flow in a pipe become turbulent? %U http://st23.statphys23.org/webservices/abstract/preview_pop.php?ID_PAPER=732 %X The transition to turbulence in pipe flow is intriguing because it is not connected with a sequence of bifurcations that start from a linear instability of the laminar profile: the parabolic Hagen-Poiseuille flow is linearly stable for all Reynolds numbers. In order to approach the mechanism of the transition we have focussed on three aspects: 3-d coherent structures that appear in finite-amplitude saddle-node bifurcations, the distribution and Reynolds number dependence of turbulent life times and the study of the rough boundary that separates laminar from turbulent regimes in state space. The picture that emerges is that turbulence is connected with the formation of a chaotic saddle, remains transient over a wide range of Reynolds numbers and has a chaotic edge dynamics.

@incollection{statphys23_0732, abstract = {The transition to turbulence in pipe flow is intriguing because it is not connected with a sequence of bifurcations that start from a linear instability of the laminar profile: the parabolic Hagen-Poiseuille flow is linearly stable for all Reynolds numbers. In order to approach the mechanism of the transition we have focussed on three aspects: 3-d coherent structures that appear in finite-amplitude saddle-node bifurcations, the distribution and Reynolds number dependence of turbulent life times and the study of the rough boundary that separates laminar from turbulent regimes in state space. The picture that emerges is that turbulence is connected with the formation of a chaotic saddle, remains transient over a wide range of Reynolds numbers and has a chaotic edge dynamics.}, added-at = {2007-06-20T10:16:09.000+0200}, address = {Genova, Italy}, author = {Eckhardt, B. and Schneider, T.M.}, biburl = {https://www.bibsonomy.org/bibtex/20b07cdcf629d4e14949039099aceea17/statphys23}, booktitle = {Abstract Book of the XXIII IUPAP International Conference on Statistical Physics}, editor = {Pietronero, Luciano and Loreto, Vittorio and Zapperi, Stefano}, interhash = {4a2da948eb55f8b8657b0a7542f10cec}, intrahash = {0b07cdcf629d4e14949039099aceea17}, keywords = {chaos statphys23 topic-5 turbulence}, month = {9-13 July}, timestamp = {2007-06-20T10:16:28.000+0200}, title = {How does flow in a pipe become turbulent?}, url = {http://st23.statphys23.org/webservices/abstract/preview_pop.php?ID_PAPER=732}, year = 2007 }