On the complex dynamics of a red blood cell in simple shear flow

Details On the complex dynamics of a red blood cell in simple shear flow On the complex dynamics of a red blood cell in simple shear flow

2010-07-02

arxiv.org/abs/1007.0444v1

Physics

Fluid Dynamics

Under revision. Submitted to J. Fluid Mechanics on 24 April 2010

Scientific paper

Motivated by the reported peculiar dynamics of a red blood cell in shear flow, we develop an analytical theory for the motion of a nearly--spherical fluid particle enclosed by a visco--elastic incompressible interface in linear flows. The analysis explains the effect of particle deformability on the transition from tumbling to swinging as the shear rate increases. Near the transition, intermittent behavior is predicted only if the particle has a fixed shape; the intermittency disappears for a deformable particle. Comparison with available phenomenological models based on the fixed shape assumption highlights their physical foundations and limitations.

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