INVITED ARTICLE: Recent progress in understanding the transition to turbulence in a pipe

By Rich R. Kerswell. 2005

269 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/4074e26b6da1b8118242de11251928664ded0f08

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Citations in the corpus

The Significance of Simple Invariant Solutions in Turbulent Flows (2011, unknown): “The one with threefold rotational symmetry appears at the lowest onset Reynolds number (Wedin & Kerswell 2004), although it was later found that travelling waves without any discrete rotational symmetry exist at much lower Reynolds numbers (Pringle & Kerswell 2007).”
Recurrent motions within plane Couette turbulence (2006, background): “The idea of understanding phenomena using well-resolved and linearly unstable nonlinear solutions is beginning to take root in work on the transition to turbulence in shear flows (Kerswell 2005).”
Transition in pipe flow: the saddle structure on the boundary of turbulence (2007, methodology): “625 (see figure 11), correspond to two new types of travelling wave branches distinct from those originally reported in Faisst & Eckhardt (2003) and Wedin & Kerswell (2004). D2 0.”
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.”
Predicting laminar–turbulent transition in Poiseuille pipe flow for non-Newtonian fluids (2009, background): “In a slightly different balance approach, Mishra and Tripathi (1971) postulate that the important factors governing transition to turbulence are the mean kinetic energy and the wall shear stress.”
An introductory essay on subcritical instabilities and the transition to turbulence in visco-elastic parallel shear flows (2007, background): “Very recently, both this qualitative scenario and these quantitative predictions have been confirmed explicitly by experiments [5] and numerical studies [64–66], see Figs.”
Turbulence transition in pipe flow (2007, background): “The proceedings of a 2004 conference in Bristol (Mullin & Kerswell 2005) contain a useful collection of articles on several current approaches to the problem.”
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)).”
On coherent structure in wall turbulence (2013, background): “nform and facilitate the search for similar self-sustaining solutions at higher Reynolds numbers than has been possible up to now. In a pipe, solutions have been found by Wedin & Kerswell (2004); Kerswell (2005); Duguet et al. (2008, 2010); Pringle et al. (2009); these have tended to take the fo”