Dynamics and rheology of a dilute suspension of vesicles: higher order theory

Details Dynamics and rheology of a dilute suspension of vesicles: higher order theory Dynamics and rheology of a dilute suspension of vesicles: higher order theory

2007-03-27

arxiv.org/abs/cond-mat/0703698v2

Physics

Condensed Matter

Soft Condensed Matter

4 pages, 5 figures

Scientific paper

10.1103/PhysRevE.76.041905

Vesicles under shear flow exhibit various dynamics: tank-treading ($tt$), tumbling ($tb$) and vacillating-breathing ($vb$). A consistent higher order theory reveals a direct bifurcation from $tt$ to $tb$ if $C_a\equiv \tau \dot\gamma $ is small enough ($\tau$= vesicle relaxation time towards equilibrium shape, $\dot\gamma$=shear rate). At larger $C_a$ the $tb$ is preceded by the $vb$ mode. For $C_a\gg 1$ we recover the leading order original calculation, where the $vb$ mode coexists with $tb$. The consistent calculation reveals several quantitative discrepancies with recent works, and points to new features. We analyse rheology and find that the effective viscosity exhibits a minimum at $tt-tb$ and $tt-vb$ bifurcation points.

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