Chaos in a melting pot
Abstract
A novel flow instability emerging during a rheometric flow of a phase change material sheared in the vicinity of the solid-fluid transition is reported. Right above the onset of the flow induced crystallisation, the presence of the crystals in the flow leads to a primary bifurcation towards an oscillatory flow state. A further decrease of the temperature beyond this point leads to an increase of the both the volume fraction and the size of the crystals which ultimately triggers a fully developed chaotic flow. A full stability diagram as a function of the imposed rate of deformation and the temperature is obtained experimentally. The experimental findings are complemented by a simple numerical toy model which, consistently with the experimental observations, indicates that the primary bifurcation is a second order bifurcation that can be accurately described by the stationary Landau-Ginzburg equation with a field.
Cite
@article{arxiv.1912.11704,
title = {Chaos in a melting pot},
author = {Rawad Himo and Cathy Castelain and Teodor Burghelea},
journal= {arXiv preprint arXiv:1912.11704},
year = {2021}
}