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Stretching of capsules in an elongation flow, a route to constitutive law

Published online by Cambridge University Press:  20 February 2015

C. de Loubens ,
J. Deschamps ,
G. Boedec  and
M. Leonetti
C. de Loubens
Affiliation:
Aix-Marseille Universite, CNRS, Centrale Marseille, IRPHE UMR 7342, 13384 Marseille, France
J. Deschamps
Affiliation:
Aix-Marseille Universite, CNRS, Centrale Marseille, IRPHE UMR 7342, 13384 Marseille, France
G. Boedec
Affiliation:
Aix-Marseille Universite, CNRS, Centrale Marseille, IRPHE UMR 7342, 13384 Marseille, France
M. Leonetti*
Affiliation:
Aix-Marseille Universite, CNRS, Centrale Marseille, IRPHE UMR 7342, 13384 Marseille, France
*
†Email address for correspondence: [email protected]
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Abstract

Soft bio-microcapsules are drops bounded by a thin elastic shell made of cross-linked proteins. Their shapes and their dynamics in flow depend on their membrane constitutive law characterized by shearing and area-dilatation resistance. The deformations of such capsules are investigated experimentally in planar elongation flows and compared with numerical simulations for three bidimensional models: Skalak, neo-Hookean and generalized Hooke. An original cross-flow microfluidic set-up allows the visualization of the deformed shape in the two perpendicular main fields of view. Whatever the elongation rate, the three semi-axis lengths of the ellipsoid fitting the experimental shape are measured up to 180 % of stretching of the largest axis. The geometrical analysis in the two views is sufficient to determine the constitutive law and the Poisson ratio of the membrane without a preliminary knowledge of the shear elastic modulus $G_{s}$. We conclude that the membrane of human serum albumin capsules obeys the generalized Hooke law with a Poisson ratio of 0.4. The shear elastic modulus is then determined by the combination of numerical and experimental variations of the Taylor parameter with the capillary number.

JFM classification

Biological Fluid Dynamics: Biological Fluid Dynamics Biological Fluid Dynamics: Capsule/cell dynamics Low-Reynolds-number flows: Low-Reynolds-number flows
Type
Rapids
Information
Journal of Fluid Mechanics , Volume 767 , 25 March 2015 , R3
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Copyright
© 2015 Cambridge University Press 

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