Physics – Condensed Matter – Soft Condensed Matter
Scientific paper
2007-12-21
Physics
Condensed Matter
Soft Condensed Matter
22 pages, 13 figures. submitted to Journal of Fluid Mechanics
Scientific paper
It has been shown in our previous publication (Blawzdziewicz,Cristini,Loewenberg,2003) that high-viscosity drops in two dimensional linear creeping flows with a nonzero vorticity component may have two stable stationary states. One state corresponds to a nearly spherical, compact drop stabilized primarily by rotation, and the other to an elongated drop stabilized primarily by capillary forces. Here we explore consequences of the drop bistability for the dynamics of highly viscous drops. Using both boundary-integral simulations and small-deformation theory we show that a quasi-static change of the flow vorticity gives rise to a hysteretic response of the drop shape, with rapid changes between the compact and elongated solutions at critical values of the vorticity. In flows with sinusoidal temporal variation of the vorticity we find chaotic drop dynamics in response to the periodic forcing. A cascade of period-doubling bifurcations is found to be directly responsible for the transition to chaos. In random flows we obtain a bimodal drop-length distribution. Some analogies with the dynamics of macromolecules and vesicles are pointed out.
Blawzdziewicz Jerzy
Cristini Vitorio
Goodman Roy
Young Yuan N.
No associations
LandOfFree
Hysteretic and chaotic dynamics of viscous drops in creeping flows with rotation does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Hysteretic and chaotic dynamics of viscous drops in creeping flows with rotation, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Hysteretic and chaotic dynamics of viscous drops in creeping flows with rotation will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-695824