Badr Kaoui, Timm Krüger, Jens Harting
We study the dynamics of a multilamellar vesicle (MLV) under shear flow. Our MLV consists of one larger outer and one smaller inner vesicle and constitutes a biomimetic model for leukocytes (membrane and nucleus). At small deformations, a tank-treading-to-tumbling transition is found by increasing the inner vesicle radius. For high deformations, a new type of unsteady motion is observed: undulating. Here, the outer vesicle's axis oscillates about a positive angle and its membrane develops four lobes rotating around the MLV. An effective non-Newtonian behavior of the interior medium is found. The dynamical state of the inner vesicle transits from tank-treading to tumbling by increasing the swelling degree of the outer vesicle.
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http://arxiv.org/abs/1209.5304
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