Bifurcation analysis of a density oscillator using two-dimensional hydrodynamic simulation

A density oscillator exhibits limit-cycle oscillations driven by the density difference of the two fluids. We performed two-dimensional hydrodynamic simulations with a simple model and reproduced the oscillatory flow observed in experiments. As the density difference is increased as a bifurcation pa...

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Bibliographic Details
Published in:Physical review. E 2020-04, Vol.101 (4-1), p.042216-042216, Article 042216
Main Authors: Takeda, Nana, Kurata, Naoko, Ito, Hiroaki, Kitahata, Hiroyuki
Format: Article
Language:English
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Summary:A density oscillator exhibits limit-cycle oscillations driven by the density difference of the two fluids. We performed two-dimensional hydrodynamic simulations with a simple model and reproduced the oscillatory flow observed in experiments. As the density difference is increased as a bifurcation parameter, a damped oscillation changes to a limit-cycle oscillation through a supercritical Hopf bifurcation. We estimated the critical density difference at the bifurcation point and confirmed that the period of the oscillation remains finite even around the bifurcation point.
ISSN:2470-0045
2470-0053
DOI:10.1103/PhysRevE.101.042216