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This study explores self-sustained oscillation and synchronization in collapsible channels. Findings reveal how channel geometry influences stable in-phase and antiphase oscillation modes.

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Area of Science:

  • Fluid dynamics
  • Nonlinear dynamics
  • Bifurcation theory

Background:

  • Self-sustained oscillation is observed in various natural and engineered systems.
  • Synchronization phenomena in fluidic systems are crucial for understanding complex flow behaviors.
  • Collapsible channels exhibit unique dynamic responses due to their deformable boundaries.

Purpose of the Study:

  • To investigate self-sustained oscillation in a collapsible channel.
  • To analyze synchronization phenomena in parallel-connected collapsible channels.
  • To determine the influence of geometric parameters on oscillation modes and stability.

Main Methods:

  • Two-dimensional hydrodynamic simulations were employed.
  • The study modeled a system of two parallel collapsible channels merging downstream.
  • Analysis focused on varying the distance between the deformable region and the merging point.

Main Results:

  • Stable synchronization modes were found to be dependent on the distance between the deformable region and the merging point.
  • An in-phase mode was consistently stable for large and small distances.
  • Bistable in-phase and antiphase modes occurred at intermediate distances, with transitions governed by bifurcations.

Conclusions:

  • The geometric configuration of collapsible channels dictates the stability and type of synchronization modes.
  • Subcritical pitchfork and Neimark-Sacker bifurcations govern the transitions between stable and unstable oscillation modes.
  • Understanding these dynamics is key for designing and controlling fluidic systems with deformable elements.