Self-sustaining oscillations of a falling sphere through Johnson-Segalman fluids
Mathematical Physics
2012-09-11 v2 math.MP
Numerical Analysis
Abstract
We confirm numerically that the Johnson-Segalman model is able to reproduce the continual oscillations of the falling sphere observed in some viscoelastic models. The empirical choice of parameters used in the Johnson-Segalman model is from the ones that show the non-monotone stress-strain relation of the steady shear flows of the model. The carefully chosen parameters yield continual, self-sustaining, (ir)regular and periodic oscillations of the speed for the falling sphere through the Johnson-Segalman fluids. In particular, our simulations reproduce the phenomena: the falling sphere settles slower and slower until a certain point at which the sphere suddenly accelerates and this pattern is repeated continually.
Keywords
Cite
@article{arxiv.1209.1328,
title = {Self-sustaining oscillations of a falling sphere through Johnson-Segalman fluids},
author = {Young-Ju Lee and Chen-Song Zhang},
journal= {arXiv preprint arXiv:1209.1328},
year = {2012}
}