Emergent order in rheoscopic swirls

Details Emergent order in rheoscopic swirls Emergent order in rheoscopic swirls

2009-10-28

arxiv.org/abs/0910.5330v1

Physics

Fluid Dynamics

28 pages, 13 figures

Scientific paper

We discuss the reflection of light by a rheoscopic fluid (a suspension of microscopic rod-like crystals) in a steady two-dimensional flow. This is determined by an order parameter which is a non-oriented vector, obtained by averaging solutions of a nonlinear equation containing the strain rate of the fluid flow. Exact solutions of this equation are obtained from solutions of a linear equation which are analogous to Bloch bands for a one-dimensional Schrodinger equation with a periodic potential. On some contours of the stream function, the order parameter approaches a limit, and on others it depends increasingly sensitively upon position. However, in the long-time limit a local average of the order parameter is a smooth function of position in both cases. We analyse the topology of the order parameter and the structure of the generic zeros of the order parameter field.

Affiliated with

Also associated with

No associations

Rating

Emergent order in rheoscopic swirls 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 Emergent order in rheoscopic swirls, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Emergent order in rheoscopic swirls will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-718215