A note on a traveling wave on an extensible capsule membrane --with bending rigidity-- in poiseuille flow

M.A.H. Re, es. , F. Méndez-Lavielle, E. Geffro, .

Abstract


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.

Keywords


Capsules; waves; Poiseuille flow

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Revista Mexicana de Física

ISSN: 2683-2224 (on line), 0035-001X (print)

Bimonthly publication of Sociedad Mexicana de Física, A.C.
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