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Hydrodynamics and rheology of a vesicle doublet suspension

Bryan Quaife1, Shravan Veerapaneni2, and Y.-N. Young3,*

  • 1Department of Scientific Computing, Florida State University, Tallahassee, Florida 32306, USA
  • 2Department of Mathematics, University of Michigan, Ann Arbor, Michigan 48109, USA
  • 3Department of Mathematical Sciences, New Jersey Institute of Technology, Newark, New Jersey 07102, USA

  • *Author to whom all correspondence should be addressed: yyoung@njit.edu
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Phys. Rev. Fluids 4, 103601 – Published 10 October, 2019

DOI: https://doi.org/10.1103/PhysRevFluids.4.103601

Abstract

The dynamics of an adhesive two-dimensional vesicle doublet under various flow conditions is investigated numerically using a high-order, adaptive-in-time boundary integral method. In a quiescent flow, two nearby vesicles move slowly toward each other under the adhesive potential, pushing out fluid between them to form a vesicle doublet at equilibrium. A lubrication analysis on such draining of a thin film gives the dependencies of draining time on adhesion strength and separation distance, which are in good agreement with numerical results. In a planar extensional flow, we find that a stable vesicle doublet forms only when two vesicles collide head-on around the stagnation point. In a microfluid trap where the stagnation of an extensional flow is dynamically placed in the middle of a vesicle doublet through an active control loop, novel dynamics of a vesicle doublet are observed. Numerical simulations show that there exists a critical extensional flow rate above which adhesive interaction is overcome by the diverging stream, thus providing a simple method to measure the adhesion strength between two vesicle membranes. In a planar shear flow, numerical simulations reveal that a vesicle doublet may form provided that the adhesion strength is sufficiently large at a given vesicle reduced area. Once a doublet is formed, its oscillatory dynamics is found to depend on the adhesion strength and their reduced area. Furthermore the effective shear viscosity of a dilute suspension of vesicle doublets is found to be a function of the reduced area. Results from these numerical studies and analysis shed light on the hydrodynamic and rheological consequences of adhesive interactions between vesicles in a viscous fluid.

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Phys. Rev. Fluids 4, 103601– Published 10 October, 2019
  • Received 14 February 2019
Article part of CHORUS
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