Effect of Shear Flow on the Stability of Domains in Two Dimensional Phase-Separating Binary Fluids
Statistical Mechanics
2009-10-30 v1 Soft Condensed Matter
Abstract
We perform a linear stability analysis of extended domains in phase-separating fluids of equal viscosity, in two dimensions. Using the coupled Cahn-Hilliard and Stokes equations, we derive analytically the stability eigenvalues for long wavelength fluctuations. In the quiescent state we find an unstable varicose mode which corresponds to an instability towards coarsening. This mode is stabilized when an external shear flow is imposed on the fluid. The effect of the shear is seen to be qualitatively similar to that found in experiments.
Keywords
Cite
@article{arxiv.cond-mat/9707203,
title = {Effect of Shear Flow on the Stability of Domains in Two Dimensional Phase-Separating Binary Fluids},
author = {Amalie Frischknecht},
journal= {arXiv preprint arXiv:cond-mat/9707203},
year = {2009}
}
Comments
13 pages, RevTeX, 8 eps figures included. Submitted to Phys. Rev. E