Skip to main content
Log in

Undulation instability under shear: A model to explain the different orientations of a lamellar phase under shear?

  • Published:
The European Physical Journal E Aims and scope Submit manuscript

Abstract:

We study the effects of a dilation on a sheared smectic A phase. Through a linear analysis, we show that undulation may grow in the direction of the flow and of the vorticity as found in previous works. At higher shear rates, we evidence that the undulation along the flow disappears whereas it persists in the vorticity direction. We determine the stable or unstable zone as a function of the shear rate and of the lamellar spacing. This allows us to draw a theoretical shear diagram of the instability. Finally we compare our results with the orientations found experimentally in a lyotropic lamellar phase under shear. Our diagram describes qualitatively and quantitatively the transition observed at high shear rate.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

Author information

Authors and Affiliations

Authors

Additional information

Received 18 October 1999

Rights and permissions

Reprints and permissions

About this article

Cite this article

Wunenburger, A., Colin, A., Colin, T. et al. Undulation instability under shear: A model to explain the different orientations of a lamellar phase under shear?. Eur. Phys. J. E 2, 277–283 (2000). https://doi.org/10.1007/PL00013669

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/PL00013669

Keywords

Navigation