A note on a traveling wave on an extensible capsule membrane --with bending rigidity-- in poiseuille flow
Keywords:
Capsules, waves, Poiseuille flowAbstract
We consider the effects of the bending rigidity of a capsule membrane convected by Poiseuille flow. We show numerically how the transition from a ``discoidal shape'' to ``V shape or cordial form'' capsules is mediated by travelling waves responsible for the required change in curvature. We show numerically that the wave velocity is an increasing function of both the rigidity of the membrane and the pressure gradient. A qualitative explanation of the observation is given in terms of a Burger's type equation for the curvature.Downloads
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Authors retain copyright and grant the Revista Mexicana de Física right of first publication with the work simultaneously licensed under a CC BY-NC-ND 4.0 that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.