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Drifting frozen waves.

V García Bennett1, P Salgado Sánchez1, D Gligor1

  • 1Escuela Técnica Superior de Ingeniería Aeronáutica y del Espacio, Universidad Politécnica de Madrid, Plaza de Cardenal Cisneros 3, 28040 Madrid, Spain and E-USOC, Center for Computational Simulation, Universidad Politécnica de Madrid, Campus de Montegancedo, Boadilla del Monte, 28660 Madrid, Spain.

Physical Review. E
|November 16, 2021
PubMed
Summary
This summary is machine-generated.

We observed a new dynamical state of drifting waves, a departure from static frozen waves. This phenomenon is driven by spatial variations in the base flow within a vibrating container.

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Area of Science:

  • Fluid dynamics
  • Nonlinear dynamics
  • Wave phenomena

Background:

  • Frozen wave instability typically exhibits static wave patterns in vibrating containers.
  • Spatial inhomogeneity in base flow, influenced by container walls and vibroequilibria, is crucial for wave dynamics.
  • Understanding transitions in wave behavior is key to controlling fluid systems.

Purpose of the Study:

  • To describe a novel dynamical state of drifting waves.
  • To investigate the transition from frozen waves to drifting waves.
  • To identify the driving mechanisms and critical thresholds for this transition.

Main Methods:

  • Observation of a dynamical state shortly above the onset of the frozen wave instability.
  • Analysis of spatial inhomogeneity in the base flow.
  • Application of energy arguments to explain drift and critical thresholds.
  • Investigation of the dependence of drift velocity on applied forcing and container aspect ratio.

Main Results:

  • A transition to drifting waves, which are repeatedly created and destroyed, was observed.
  • The spatial inhomogeneity of the base flow acts as the driving mechanism for drifting waves.
  • A critical threshold for drifting was identified and estimated.
  • Drifting occurs within a specific range of container aspect ratios (1.5≲Γ≲3.5).

Conclusions:

  • The observed drifting wave state represents a significant departure from traditional frozen wave behavior.
  • The study elucidates the role of base flow inhomogeneity and container geometry in driving wave dynamics.
  • The findings provide insights into the conditions necessary for the emergence of drifting waves.