[Mouvement d'une capsule dans un écoulement : Déformation de la membrane]
L'objectif de cette revue est de présenter les aspects essentiels du comportement mécanique d'une capsule soumise aux efforts visqueux d'un fluide en écoulement. On se focalise sur les capsules artificielles qui ont une forme initiale sphèrique, un milieu interne liquide et qui sont entourées d'une membrane mince hyperélastique. Différentes lois constitutives usuelles sont présentées pour décrire le comportement mécanique de la membrane. On étudie ensuite le mouvement et la déformation d'une capsule isolée suspendue librement dans un écoulement de cisaillement, en fonction de la loi de paroi et de précontraintes éventuelles. On discute enfin de la limite de validité d'un modèle de membrane qui néglige les effets de résistance à la flexion.
The objective of this review is to present the salient features of capsule mechanical behaviour under the influence of viscous deforming forces due to a flowing fluid. We focus on artificial capsules that are initially spherical with an internal liquid core and that are enclosed by a very thin hyperelastic membrane. Different constitutive laws, commonly used to describe the rheological behaviour of thin membranes, are presented. The motion and deformation of a single capsule freely suspended in a simple shear flow is presented as a function of membrane constitutive law and of initial pre-stress. The limitations of classical membrane models that neglect bending effects are discussed.
Mot clés : Capsule, Membrane hyperélastique, Écoulement de Stokes, Interaction hydrodynamique, Suspension
@article{CRPHYS_2009__10_8_764_0,
author = {Dominique Barth\`es-Biesel},
title = {Capsule motion in flow: {Deformation} and membrane buckling},
journal = {Comptes Rendus. Physique},
pages = {764--774},
publisher = {Elsevier},
volume = {10},
number = {8},
year = {2009},
doi = {10.1016/j.crhy.2009.09.004},
language = {en},
}
Dominique Barthès-Biesel. Capsule motion in flow: Deformation and membrane buckling. Comptes Rendus. Physique, Volume 10 (2009) no. 8, pp. 764-774. doi : 10.1016/j.crhy.2009.09.004. https://comptes-rendus.academie-sciences.fr/physique/articles/10.1016/j.crhy.2009.09.004/
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