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Influence of internal viscosity on the large deformation and buckling of a spherical capsule in a simple shear flow

Published online by Cambridge University Press:  24 February 2011

É. FOESSEL ,
J. WALTER ,
A.-V. SALSAC  and
D. BARTHÈS-BIESEL
É. FOESSEL
Affiliation:
École Polytechnique, 91128 Palaiseau, France
J. WALTER
Affiliation:
Laboratoire de Biomécanique et Bioingénierie (UMR CNRS 6600), Université de Technologie de Compiègne, BP 20529, 60205 Compiègne, France
A.-V. SALSAC
Affiliation:
Laboratoire de Biomécanique et Bioingénierie (UMR CNRS 6600), Université de Technologie de Compiègne, BP 20529, 60205 Compiègne, France
D. BARTHÈS-BIESEL*
Affiliation:
Laboratoire de Biomécanique et Bioingénierie (UMR CNRS 6600), Université de Technologie de Compiègne, BP 20529, 60205 Compiègne, France
*
†Email address for correspondence: dbb@utc.fr
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Abstract

The motion and deformation of a spherical elastic capsule freely suspended in a simple shear flow is studied numerically, focusing on the effect of the internal-to-external viscosity ratio. The three-dimensional fluid–structure interactions are modelled coupling a boundary integral method (for the internal and external fluid motion) with a finite element method (for the membrane deformation). For low viscosity ratios, the internal viscosity affect the capsule deformation. Conversely, for large viscosity ratios, the slowing effect of the internal motion lowers the overall capsule deformation; the deformation is asymptotically independent of the flow strength and membrane behaviour. An important result is that increasing the internal viscosity leads to membrane compression and possibly buckling. Above a critical value of the viscosity ratio, compression zones are found on the capsule membrane for all flow strengths. This shows that very viscous capsules tend to buckle easily.

JFM classification

Biological Fluid Dynamics: Capsule/cell dynamics Biological Fluid Dynamics: Membranes

Information

Type
Papers
Information
Journal of Fluid Mechanics , Volume 672 , 10 April 2011 , pp. 477 - 486
Copyright
Copyright © Cambridge University Press 2011

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References

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