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Researchers have identified a reversible pathway linking turbulent flow to an invariant solution, revealing turbulence

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Area of Science:

  • Fluid Dynamics
  • Nonlinear Dynamics

Background:

  • Laminar flow transitions to turbulence with increasing velocity.
  • The mechanism of this transition within Navier-Stokes equations is not fully understood.

Purpose of the Study:

  • To investigate the transition from laminar to turbulent flow.
  • To identify the complete pathway linking turbulent motion to an invariant solution.

Main Methods:

  • Exploiting geometrical properties of transitional channel flow.
  • Tracing turbulence to lower Reynolds numbers (Re) than previously possible.

Main Results:

  • Identified a reversible path linking fully turbulent motion to an invariant solution.
  • Turbulence precursor destabilizes rapidly with increasing Re.
  • Attractor dimension increases explosively at transition.

Conclusions:

  • Turbulence can be understood as a transition from deterministic to stochastic dynamics.
  • The study provides a new framework for understanding fluid flow transitions.