Abstract
Abstract Rayleigh-Benard convection is natural convection that appears in a fluid layer with heated bottom and cooled top planes. The velocity fields of the Rayleigh-Benard convection may oscillate slightly by even oscillatory instability by controlling the temperature difference of the two planes. In such flow, some fluid particles may be transported chaotically in Lagrangian description, even when the velocity fields seem to be stable in Eulerian description. In order to clarify the chaotic structures of the flow, it is essential to identify the invariant structures associated with the velocity fields. Therefore, in this study, we measure the two-dimensional velocity fields of the perturbed Rayleigh-Benard convection by Particle Image Velocimetry (PIV) and numerically detect the Lagrangian coherent structures (LCSs), which correspond to invariant manifolds in autonomous systems, by integrating the obtained time-dependent velocity fields.
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