Calculation of the linear stability of fluid flow in a plane channel with transversely corrugated walls

DOI10.1134/S0015462823601341zbMATH Open1543.76037MaRDI QIDQ6561164

Y. Y. Trifonov

Publication date: 24 June 2024

Published in: Fluid Dynamics (Search for Journal in Brave)

zbMATH Keywords

generalized eigenvalue problemFourier serieslaminar-turbulent transitionPoiseuille flowChebyshev polynomialNewton iterative methodcritical Reynolds numberFloquet theorem

Mathematics Subject Classification ID

Parallel shear flows in hydrodynamic stability (76E05) Basic methods in fluid mechanics (76M99) Transition to turbulence (76F06)

Cites Work

• Stability of the Poiseuille flow in a channel with comb grooves
• New instability mode in a grooved channel
• Traveling wave instability in a diverging–converging channel
• On flow through furrowed channels. Part 1. Calculated flow patterns
• On flow through furrowed channels. Part 2. Observed flow patterns
• Secondary flow induced by riblets
• Dynamical flow characterization of transitional and chaotic regimes in converging–diverging channels
• Lagrangian chaos, Eulerian chaos, and mixing enhancement in converging–diverging channel flows
• Stability of flow in a wavy channel
• Transition to chaos in converging–diverging channel flows: Ruelle–Takens–Newhouse scenario
• Stability of flow in a channel with longitudinal grooves
• C<scp>OATING</scp> F<scp>LOWS</scp>

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