Subcritical transition in channel flows
By S. Chapman. Journal of Fluid Mechanics, 2002
187 citations recorded by the source corpus.
Subfields: Computational Mechanics, Global and Planetary Change
View Paper: https://www.semanticscholar.org/paper/a3f5a059fa2beb7d4e831908747136da6ef2d7ea
How researchers see this paper
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In Computational Mechanics
- Vlad Vicol
- Nader Masmoudi
- Pierre Germain
- Jacob Bedrossian
- M. Jovanovi'c
- Bassam Bamieh
- Tobias M. Schneider
- Bruno Eckhardt
In Global and Planetary Change
- M. Jovanovi'c
- Bassam Bamieh
- Nader Masmoudi
- Tobias M. Schneider
- Bruno Eckhardt
- Jacob Bedrossian
- Jerry Westerweel
- W. Saarloos
Citations in the corpus
- Turbulence transition in pipe flow (2007, result): “Simple estimates, confirmed by more detailed studies, suggest that a vortex of strength O(1/Re) can generate a streak of order O(1), that is a Re-fold increase in velocity amplitude (Chapman 2002, Henningson 1996, Waleffe 1995).”
- An introductory essay on subcritical instabilities and the transition to turbulence in visco-elastic parallel shear flows (2007, background): “There is general agreement on a power-law scaling ∼ Re− with 1 [4], but different approaches give different values of the exponent (see, for example, [56,57]).”
- Componentwise energy amplification in channel flows (2005, background): “(1998), and recently by Chapman (2002). The identification of the oblique waves as the input–output resonances illustrates usefulness of the componentwise input–output approach to the analysis of the problem at hand.”
- On the stability threshold for the 3D Couette flow in Sobolev regularity (2015, background): “[15, 48] and the references therein) it is natural to couple q2 with the vertical component of the vorticity, however, we will also need to change independent variables to adapt to the mixing caused by u(1)0, which makes this approach very problematic.”
- Enhanced Dissipation and Inviscid Damping in the Inviscid Limit of the Navier–Stokes Equations Near the Two Dimensional Couette Flow (2014, background): “The enhanced dissipation effect is sometimes referred to by modern authors as the ‘sheardiffusion mechanism’ and has been explicitly or implicitly pointed out by numerous authors studying shear flows [48, 40, 20, 8], vortex axisymmetrization [12, 28, 29, 2] and 3D strained vortex filaments [43].”