TY - JOUR
T1 - Experimental observations of lagrangian coherent structures and fluid transports in perturbed Rayleigh-Bénard convection
AU - Watanabe, Masahito
AU - Yoshimura, Hiroaki
N1 - Funding Information:
We are grateful to Yusuke Kitamura, Naoki Hatta, and Ryosuke Kamakura for useful discussions and ffelpful assistance in experiments and computations. MW is partially supported by Waseda ∆niversity (SR 2020C-767) and 2020-2021 ASME FED Graduate Student Scffolarsffip. HY is partially supported by JSPS Grant-in-Aid for Scientific Researcff (17H01097), Waseda ∆niversity (SR 2021C-134), JST CREST (JPMJCR1914), and MEXT “Top Global ∆niversity Project”.
Publisher Copyright:
Copyright © 2021 The Authors. This is an open access article under the CC BY-NC-ND license (https://creativecommons.org/licenses/by-nc-nd/4.0/)
PY - 2021
Y1 - 2021
N2 - 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.
AB - 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.
KW - Chaotic mixing
KW - Experiment
KW - Lagrangian coherent structure
KW - Particle Image Velocimetry
KW - Periodic transport
KW - Perturbed Hamiltonian system
KW - Rayleigh-Bénard convection
UR - http://www.scopus.com/inward/record.url?scp=85120610383&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85120610383&partnerID=8YFLogxK
U2 - 10.1016/j.ifacol.2021.10.395
DO - 10.1016/j.ifacol.2021.10.395
M3 - Conference article
AN - SCOPUS:85120610383
SN - 2405-8963
VL - 54
SP - 448
EP - 453
JO - IFAC-PapersOnLine
JF - IFAC-PapersOnLine
IS - 14
T2 - 3rd IFAC Conference on Modelling, Identification and Control of Nonlinear Systems MICNON 2021
Y2 - 15 September 2021 through 17 September 2021
ER -