Physics – Condensed Matter – Soft Condensed Matter
Scientific paper
2005-11-09
Phys. Rev. Lett. 96 (2006) 104502
Physics
Condensed Matter
Soft Condensed Matter
4 pages, 6 figures
Scientific paper
10.1103/PhysRevLett.96.104502
We study numerically the nonlinear dynamics of a shear banding interface in two dimensional planar shear flow, within the non-local Johnson Segalman model. Consistent with a recent linear stability analysis, we find that an initially flat interface is unstable with respect to small undulations for sufficiently small ratio of the interfacial width $\ell$ to cell length $L_x$. The instability saturates in finite amplitude interfacial fluctuations. For decreasing $\ell/L_x$ these undergo a non equilibrium transition from simple travelling interfacial waves with constant average wall stress, to periodically rippling waves with a periodic stress response. When multiple shear bands are present we find erratic interfacial dynamics and a stress response suggesting low dimensional chaos.
Fielding Suzanne M.
Olmsted Peter D.
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