The paper claims plane Couette flow is linearly unstable for Re>139 and plane Poiseuille flow for Re>1035 if disturbances are quasi-periodic rather than periodic.
Turbulent spot growth in plane Couette flow: statistical study and formation of spanwise vorticity
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abstract
This article presents direct numerical simulations of the growth of turbulent spots in the transitional regime of plane Couette flow. A quantitative description of the growth process and of the detail of the quadrupolar flow around the spot is given. Focus is put on formation of spanwise vorticity in the velocity streaks that resembles a secondary shear instability. The main features of the instability (coherence lengths, advection velocity) are studied in the context of the turbulent spot, below and above the threshold Reynolds number of appearance of the oblique turbulent bands of plane Couette flow.
fields
physics.flu-dyn 1years
2025 1verdicts
REJECT 1representative citing papers
citing papers explorer
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Linear instability of plane Couette and Poiseuille flows
The paper claims plane Couette flow is linearly unstable for Re>139 and plane Poiseuille flow for Re>1035 if disturbances are quasi-periodic rather than periodic.