Two-dimensional perturbations in a scalar model for shear banding

Details Two-dimensional perturbations in a scalar model for shear banding Two-dimensional perturbations in a scalar model for shear banding

2009-08-13

arxiv.org/abs/0908.1878v1

Physics

Condensed Matter

Soft Condensed Matter

16 pages, 10 figures, to appear in EPJE, available online first, click DOI or http://www.springerlink.com/content/q1q018738501

Scientific paper

10.1140/epje/i2009-10501-0

We present an analytical study of a toy model for shear banding, without normal stresses, which uses a piecewise linear approximation to the flow curve (shear stress as a function of shear rate). This model exhibits multiple stationary states, one of which is linearly stable against general two-dimensional perturbations. This is in contrast to analogous results for the Johnson-Segalman model, which includes normal stresses, and which has been reported to be linearly unstable for general two-dimensional perturbations. This strongly suggests that the linear instabilities found in the Johnson-Segalman can be attributed to normal stress effects.

Affiliated with

Also associated with

No associations

Rating

Two-dimensional perturbations in a scalar model for shear banding 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 Two-dimensional perturbations in a scalar model for shear banding, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Two-dimensional perturbations in a scalar model for shear banding will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-700961