Traveling-waves consistent with turbulence-driven secondary flow in a square duct

DOI10.1063/1.3466661zbMath1307.76044arXiv1011.0442OpenAlexW1975456543MaRDI QIDQ5178415

Alfredo Pinelli, Markus Uhlmann, Genta Kawahara

Publication date: 16 March 2015

Published in: Physics of Fluids (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1011.0442

Mathematics Subject Classification ID

Shear flows and turbulence (76F10)

Related Items (6)

Bifurcations and instabilities in sliding Couette flow ⋮ Asymmetric travelling waves in a square duct ⋮ Linear stability of flow in rectangular ducts in the vicinity of the critical aspect ratio ⋮ The instantaneous structure of secondary flows in turbulent boundary layers ⋮ A note on the mirror-symmetric coherent structure in plane Couette flow ⋮ Koopman mode expansions between simple invariant solutions

Cites Work

• Stokes eigenmodes in square domain and the stream function-vorticity correlation
• Periodic motion embedded in plane Couette turbulence: regeneration cycle and burst
• Stability of the laminar flow in a rectangular duct
• Characterization of near-wall turbulence in terms of equilibrium and “bursting” solutions
• Homotopy of exact coherent structures in plane shear flows
• Reynolds number dependence of mean flow structure in square duct turbulence
• A locally parameterized continuation process
• Linear stability of flow in an internally heated rectangular duct
• Spectral Methods
• Visualizing the geometry of state space in plane Couette flow
• Marginally turbulent flow in a square duct
• The minimal flow unit in near-wall turbulence

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