Experimental observations of lagrangian coherent structures and fluid transports in perturbed Rayleigh-Bénard convection

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Abstract

In this paper, we make experimental observations of the perturbed Rayleigh-Bénard convection to detect the Lagrangian coherent structures (LCSs), which correspond to the invariant manifolds of time-dependent systems and also to investigate the associated fluid transports by numerically integrating the two-dimensional velocity field obtained by Particle Image Velocimetry (PIV). We show the chaotic fluid transports that appear in the system, though some particles are transported almost periodically with time period T or 3T, where T = 17.3 s is the period of the perturbation. We finally propose a novel perturbed Hamiltonian system that enables to recover qualitatively global behaviors observed in experimental results and we also explore the periodic fluid transport that appear in the system.

Original languageEnglish
Pages (from-to)448-453
Number of pages6
JournalIFAC-PapersOnLine
Volume54
Issue number14
DOIs
Publication statusPublished - 2021
Event3rd IFAC Conference on Modelling, Identification and Control of Nonlinear Systems MICNON 2021 - Tokyo, Japan
Duration: 2021 Sep 152021 Sep 17

Keywords

  • Chaotic mixing
  • Experiment
  • Lagrangian coherent structure
  • Particle Image Velocimetry
  • Periodic transport
  • Perturbed Hamiltonian system
  • Rayleigh-Bénard convection

ASJC Scopus subject areas

  • Control and Systems Engineering

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