Experimental observation of nonlinear traveling waves in turbulent pipe flow

B. Hof, C. Van Doorne, J. Westerweel, F. Nieuwstadt, H. Faisst, B. Eckhardt, H. Wedin, R. Kersweli, F. Waleffe, Science 305 (2004) 1594–1598.

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Author
Hof, BjörnIST Austria ; van Doorne, Casimir W; Westerweel, Jerry; Nieuwstadt, Frans T; Faisst, Holger; Eckhardt, Bruno; Wedin, Håkan; Kersweli, Richard R; Waleffe, Fabian
Abstract
Transition to turbulence in pipe flow is one of the most fundamental and longest- standing problems in fluid dynamics. Stability theory suggests that the flow remains laminar for all flow rates, but in practice pipe flow becomes turbulent even at moderate speeds. This transition drastically affects the transport efficiency of mass, momentum, and heat. On the basis of the recent discovery of unstable traveling waves in computational studies of the Navier-Stokes equations and ideas from dynamical systems theory, a model for the transition process has been suggested. We report experimental observation of these traveling waves in pipe flow, confirming the proposed transition scenario and suggesting that the dynamics associated with these unstable states may indeed capture the nature of fluid turbulence.
Publishing Year
Date Published
2004-09-10
Journal Title
Science
Volume
305
Issue
5690
Page
1594 - 1598
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Hof B, Van Doorne C, Westerweel J, et al. Experimental observation of nonlinear traveling waves in turbulent pipe flow. Science. 2004;305(5690):1594-1598. doi:10.1126/science.1100393
Hof, B., Van Doorne, C., Westerweel, J., Nieuwstadt, F., Faisst, H., Eckhardt, B., … Waleffe, F. (2004). Experimental observation of nonlinear traveling waves in turbulent pipe flow. Science, 305(5690), 1594–1598. https://doi.org/10.1126/science.1100393
Hof, Björn, Casimir Van Doorne, Jerry Westerweel, Frans Nieuwstadt, Holger Faisst, Bruno Eckhardt, Håkan Wedin, Richard Kersweli, and Fabian Waleffe. “Experimental Observation of Nonlinear Traveling Waves in Turbulent Pipe Flow.” Science 305, no. 5690 (2004): 1594–98. https://doi.org/10.1126/science.1100393.
B. Hof et al., “Experimental observation of nonlinear traveling waves in turbulent pipe flow,” Science, vol. 305, no. 5690, pp. 1594–1598, 2004.
Hof B, Van Doorne C, Westerweel J, Nieuwstadt F, Faisst H, Eckhardt B, Wedin H, Kersweli R, Waleffe F. 2004. Experimental observation of nonlinear traveling waves in turbulent pipe flow. Science. 305(5690), 1594–1598.
Hof, Björn, et al. “Experimental Observation of Nonlinear Traveling Waves in Turbulent Pipe Flow.” Science, vol. 305, no. 5690, American Association for the Advancement of Science, 2004, pp. 1594–98, doi:10.1126/science.1100393.

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