Turbulence transition in pipe flow

By Bruno Eckhardt, Tobias M. Schneider, Björn Hof, Jerry Westerweel. 2007

559 citations recorded by the source corpus.

Subfields: Computational Mechanics, Global and Planetary Change

View Paper: https://www.semanticscholar.org/paper/0141b61bcd755a6a6c4ea0ba366ca5cac7dd34e1

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In Computational Mechanics

In Global and Planetary Change

Citations in the corpus

Nonlinear Nonmodal Stability Theory (2018, background): “This was sparked by the discovery of new finite amplitude solutions disconnected from the reference state in shear flows (see the reviews Kerswell 2005, Eckhardt et al. 2007, Kawahara et al. 2012) and was made feasible by the increasing availability of computational power.”
High-Reynolds number Taylor-Couette turbulence. (2016, background): “Indeed, in spite of linear stability, at large enough Reynolds numbers shear flow may get unstable, namely through the so-called non-normal - nonlinear mechanism, as well known from pipe flow or plane Couette flow, see e.g. Trefethen et al. (1993); Grossmann (2000); Eckhardt et al. (2007).”
The Significance of Simple Invariant Solutions in Turbulent Flows (2011, background): “The streak-dominated solution is probably not directly related to turbulence, and it is now believed to play an important role in the subcritical transition to turbulence (see Eckhardt et al. 2008, 2007, Kerswell 2005).”
Perspectives on viscoelastic flow instabilities and elastic turbulence (2021, background): “, plane Couette, and plane- and cylindricalPoiseuille flows, of a Newtonian fluid, beyond a threshold Re is a complicated process [256, 257], largely due to the absence (plane Couette and pipe flow) or irrelevance (plane Poiseuille) of an underlying linear instability [258].”
The lift-up effect : The linear mechanism behind transition and turbulence in shear flows (2014, background): “This explains the first stage of the subcritical transition to turbulence in pipe flow, a problem that puzzled scientists for over a century [11,12].”
Invariant recurrent solutions embedded in a turbulent two-dimensional Kolmogorov flow (2013, background): “…(unstable) travelling wave (TW) solutions to the Navier–Stokes equations (Waleffe 1998, 2001, 2003), the existence of which have revolutionized our thinking about transitional and weakly turbulent shear flows (see the reviews by Kerswell (2005), Eckhardt et al. (2007) and Kawahara et al. (2012)).”
Theoretical perspective on the route to turbulence in a pipe (2016, background): “The upper and lower branches can be thought of as a simple representation of the upper and lower branches of exact coherent structures in pipe flow (e.g. Faisst & Eckhardt 2003; Wedin & Kerswell 2004; Eckhardt et al. 2007; Duguet, Willis & Kerswell 2008).”