Dynamics of viscous vesicles in shear flow

Abstract.The dynamics of giant lipid vesicles under shear flow is experimentally investigated. Consistent with previous theoretical and numerical studies, two flow regimes are identified depending on the viscosity ratio between the interior and the exterior of the vesicle, and its reduced volume or excess surface. At low viscosity ratios, a tank-treading motion of the membrane takes place, the vesicle assuming a constant orientation with respect to the flow direction. At higher viscosity ratios, a tumbling motion is observed in which the whole vesicle rotates with a periodically modulated velocity. When the shear rate increases, this tumbling motion becomes increasingly sensitive to vesicle deformation due to the elongational component of the flow and significant deviations from simpler models are observed. A good characterization of these various flow regimes is essential for the validation of analytical and numerical models, and to relate microscopic dynamics to macroscopic rheology of suspensions of deformable particles, such as blood.

[1]  Chaouqi Misbah,et al.  Dynamics and Similarity Laws for Adhering Vesicles in Haptotaxis , 1999 .

[2]  Saroja Ramanujan,et al.  Deformation of liquid capsules enclosed by elastic membranes in simple shear flow: large deformations and the effect of fluid viscosities , 1998, Journal of Fluid Mechanics.

[3]  R. Skalak,et al.  Motion of a tank-treading ellipsoidal particle in a shear flow , 1982, Journal of Fluid Mechanics.

[4]  C. Pozrikidis,et al.  Effect of membrane bending stiffness on the deformation of capsules in simple shear flow , 2001, Journal of Fluid Mechanics.

[5]  Hiroshi Noguchi,et al.  Fluid vesicles with viscous membranes in shear flow. , 2004, Physical review letters.

[6]  M. Angelova,et al.  Preparation of giant vesicles by external AC electric fields. Kinetics and applications , 1992 .

[7]  M. Abkarian,et al.  Dynamics of vesicles in a wall-bounded shear flow. , 2005, Biophysical journal.

[8]  T. Biben,et al.  Steady to unsteady dynamics of a vesicle in a flow. , 2004, Physical review. E, Statistical, nonlinear, and soft matter physics.

[9]  M. Markus,et al.  Oscillations and turbulence induced by an activating agent in an active medium. , 2001, Physical review. E, Statistical, nonlinear, and soft matter physics.

[10]  Hiroshi Noguchi,et al.  Dynamics of fluid vesicles in shear flow: effect of membrane viscosity and thermal fluctuations. , 2005, Physical review. E, Statistical, nonlinear, and soft matter physics.

[11]  Colette Lartigue,et al.  Tank treading and unbinding of deformable vesicles in shear flow: determination of the lift force. , 2002, Physical review letters.

[12]  U. Seifert,et al.  Influence of shear flow on vesicles near a wall: A numerical study. , 2001, Physical review. E, Statistical, nonlinear, and soft matter physics.

[13]  E. Evans,et al.  Effect of chain length and unsaturation on elasticity of lipid bilayers. , 2000, Biophysical journal.

[14]  John Tsamopoulos,et al.  Spherical capsules in three-dimensional unbounded Stokes flows: effect of the membrane constitutive law and onset of buckling , 2004, Journal of Fluid Mechanics.

[15]  M. D. Mitov,et al.  Mechanical properties of model membranes studied from shape transformations of giant vesicles. , 1998, Biochimie.

[16]  T. Biben,et al.  Tumbling of vesicles under shear flow within an advected-field approach. , 2003, Physical review. E, Statistical, nonlinear, and soft matter physics.

[17]  Seifert,et al.  Fluid Vesicles in Shear Flow. , 1996, Physical review letters.

[18]  Michael H.G. Duits,et al.  Deformation of giant lipid bilayer vesicles in a shear flow , 1996 .

[19]  Dominique Barthès-Biesel,et al.  Motion of a spherical microcapsule freely suspended in a linear shear flow , 1980, Journal of Fluid Mechanics.

[20]  W. Helfrich,et al.  Bending energy of vesicle membranes: General expressions for the first, second, and third variation of the shape energy and applications to spheres and cylinders. , 1989, Physical review. A, General physics.

[21]  Milner,et al.  Dynamical fluctuations of droplet microemulsions and vesicles. , 1987, Physical review. A, General physics.

[22]  Udo Seifert.  Fluid membranes in hydrodynamic flow fields: Formalism and an application to fluctuating quasispherical vesicles in shear flow , 1999 .

[23]  I. Bivas,et al.  Bending elasticity and thermal fluctuations of lipid membranes. Theoretical and experimental requirements , 1989 .

[24]  T Biben,et al.  Analytical analysis of a vesicle tumbling under a shear flow. , 2004, Physical review. E, Statistical, nonlinear, and soft matter physics.

[25]  Udo Seifert.  Hydrodynamic lift on bound vesicles , 1999 .

[26]  J. Molloy.  Muscle contraction: actin filaments enter the fray. , 2005, Biophysical journal.

[27]  P. Olla,et al.  The behavior of closed inextensible membranes in linear and quadratic shear flows , 1999, chao-dyn/9906006.

[28]  Erich Sackmann,et al.  Weakly adhering vesicles in shear flow: Tanktreading and anomalous lift force , 2000 .