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Asymmetric shapes and pearling of a stretched vesicle

Published online by Cambridge University Press:  31 July 2014

Petia M. Vlahovska*
Affiliation:
School of Engineering, Brown University, Providence, RI 02906, USA
*
Email address for correspondence: petia_vlahovska@brown.edu
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Abstract

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Closed bilayer membranes (vesicles) display a plethora of non-spherical shapes under equilibrium conditions, unlike drops and bubbles which are kept spherical by surface tension. Even more complex behaviour arises under applied flow. Intriguingly, a vesicle can adopt asymmetric shapes even under symmetric forcing such as uniaxial extensional flow. Narasimhan, Spann & Shaqfeh (J. Fluid Mech., vol. 750, 2014, pp. 144–190) explain the mechanism of this peculiar instability and trace its origin to the tension which develops in the area-incompressible membrane in response to the applied stress. The authors also show that this mechanism is relevant to the pearling of tubular vesicles. This study raises many questions, e.g. whether other soft particles with load-dependent tension such as capsules can undergo similar shape transformations.

JFM classification

Type
Focus on Fluids
Copyright
© 2014 Cambridge University Press 

References

Coupier, G., Farutin, A., Minetti, C. & Misbah, C. 2012 Shape diagram of vesicles in Poiseuille flow. Phys. Rev. Lett. 108, 178106.Google Scholar
Farutin, A. & Misbah, C. 2011 Symmetry breaking of vesicle shapes in Poiseuille flow. Phys. Rev. E 84, 011902.Google Scholar
Kantsler, V., Segre, E. & Steinberg, V. 2008 Critical dynamics of vesicle stretching transition in elongational flow. Phys. Rev. Lett. 101, 048101.CrossRefGoogle ScholarPubMed
Kaoui, B. & Misbah, C. 2009 Why do red blood cells have asymmetric shapes even in a symmetric flow? Phys. Rev. Lett. 103, 188101.CrossRefGoogle Scholar
Lac, E. & Homsy, G. M. 2007 Axisymmetric deformation and stability of a viscous drop in a steady electric field. J. Fluid Mech. 590, 239264.Google Scholar
Li, X., Vlahovska, P. M. & Karniadakis, G. Em. 2012 Continuum- and particle-based modeling of shapes and dynamics of red blood cells in health and disease. Soft Matt. 9, 2837.Google Scholar
Narsimhan, V., Spann, A. & Shaqfeh, E. S. G. 2014 The mechanism of shape instability for a lipid vesicle in extensional flow. J. Fluid Mech. 750, 144190.Google Scholar
Salipante, P. S.2013 Electrohydrodynamics of simple and complex interfaces. PhD thesis. Brown University.Google Scholar
Seifert, U. 1997 Configurations of fluid membranes and vesicles. Adv. Phys. 46, 13137.Google Scholar
Sinha, K. P., Gadkari, S. & Thaokar, R. M. 2013 Electric field induced pearling instability in cylindrical vesicles. Soft Matt. 9, 72747293.CrossRefGoogle Scholar
Vlahovska, P. M., Podgorski, T. & Misbah, C. 2009 Vesicles and red blood cells: from individual dynamics to rheology. C. R. Phys. 10, 775789.Google Scholar
Zhao, H. & Shaqfeh, E. S. G. 2013 The shape instability of a lipid vesicle in a uniaxial extensional flow. J. Fluid Mech. 719, 345361.Google Scholar

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