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Stable shapes of three-dimensional vesicles in unconfined and confined Poiseuille flow

Dhwanit Agarwal* and George Biros†

  • Oden Institute of Computational Engineering and Sciences, University of Texas at Austin, Texas 78712, USA

  • *dhwanit@oden.utexas.edu
  • †biros@oden.utexas.edu
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Phys. Rev. Fluids 5, 013603 – Published 28 January, 2020

DOI: https://doi.org/10.1103/PhysRevFluids.5.013603

Abstract

We use numerical simulations to study the dynamics of three-dimensional (3D) vesicles in unconfined and confined Poiseuille flow. Previous numerical studies have shown that when the fluid viscosity inside and outside the vesicle is the same (no viscosity contrast), a transition from asymmetric slippers to symmetric parachutes takes place as viscous forcing or capillary number is increased. At higher viscosity contrast, an outward migration tendency has also been observed in unconfined flow simulations. In this paper, we study how the presence of viscosity contrast and confining walls affect the dynamics of vesicles and present phase diagrams for confined Poiseuille flow with and without viscosity contrast. To our knowledge, this is the first study that provides a phase diagram for 3D vesicles with viscosity contrast in confined Poiseuille flow. The confining walls push the vesicle towards the center while the viscosity contrast has the opposite effect. This interplay leads to important differences in the dynamics, such as bistability, at high capillary numbers.

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References (25)

  1. F. Merola, P. Memmolo, L. Miccio, R. Savoia, M. Mugnano, A. Fontana, G. D'Ippolito, A. Sardo, A. Iolascon, A. Gambale, and P. Ferraro, Tomographic flow cytometry by digital holography, Light Sci. Appl. 6, e16241 (2017).
  2. V. Vitkova, M.-A. Mader, B. Polack, C. Misbah, and T. Podgorski, Micro-macro link in rheology of erythrocyte and vesicle suspensions, Biophys. J. 95, L33 (2008).
  3. E. Henry, S. H. Holm, Z. Zhang, J. P. Beech, J. O. Tegenfeldt, D. A. Fedosov, and G. Gompper, Sorting cells by their dynamical properties, Sci. Rep. 6, 34375 (2016).
  4. P. Gaehtgens, C. Dührssen, and K. H. Albrecht, Motion, deformation, and interaction of blood cells and plasma during flow through narrow capillary tubes, Blood Cells 6, 799 (1980).
  5. B. Kaoui, G. Biros, and C. Misbah, Why Do Red Blood Cells Have Asymmetric Shapes Even in a Symmetric Flow? Phys. Rev. Lett. 103, 188101 (2009).
  6. B. Kaoui, N. Tahiri, T. Biben, H. Ez-Zahraouy, A. Benyoussef, G. Biros, and C. Misbah, Complexity of vesicle microcirculation, Phys. Rev. E 84, 041906 (2011).
  7. N. Tahiri, T. Biben, H. Ez-Zahraouy, A. Benyoussef, and C. Misbah On the problem of slipper shapes of red blood cells in the microvasculature, Microvasc. Res. 85, 40 (2013).
  8. A. Farutin and C. Misbah, Symmetry breaking and cross-streamline migration of three-dimensional vesicles in an axial Poiseuille flow, Phys. Rev. E 89, 042709 (2014).
  9. G. Coupier, A. Farutin, C. Minetti, T. Podgorski, and C. Misbah, Shape Diagram of Vesicles in Poiseuille Flow, Phys. Rev. Lett. 108, 178106 (2012).
  10. G. Tomaiuolo, M. Simeone, V. Martinelli, B. Rotoli, and S. Guido, Red blood cell deformation in microconfined flow, Soft Matter 5, 3736 (2009).
  11. S. Guido and G. Tomaiuolo, Microconfined flow behavior of red blood cells in vitro, C. R. Phys. 10, 752 (2009).
  12. C. Pozrikidis, Boundary Integral and Singularity Methods for Linearized Viscous Flow (Cambridge University Press, Cambridge, 1992).
  13. D. Malhotra, A. Rahimian, D. Zorin, and G. Biros, A parallel algorithm for long-timescale simulation of concentrated vesicle suspensions in three dimensions (preprint available at https://pdfs.semanticscholar.org/da58/d664941a3b0a563c598a2256c4ea3454fc4e.pdf) (unpublished).
  14. C. Pozrikidis, Effect of membrane bending stiffness on the deformation of capsules in simple shear flow, J. Fluid Mech. 440, 269 (2001).
  15. J. L. Weiner et al., On a problem of Chen, Willmore, Indiana Univ. Math. J. 27, 19 (1978).
  16. C. Pozrikidis, Interfacial dynamics for Stokes flow, J. Comput. Phys. 169, 250 (2001).
  17. A. Rahimian, S. Veerapaneni, and G. Biros, Dynamic simulation of locally inextensible vesicles suspended in an arbitrary two-dimensional domain, a boundary integral method, J. Comput. Phys. 229, 6466 (2010).
  18. A. Farutin, T. Biben, and C. Misbah, 3D numerical simulations of vesicle and inextensible capsule dynamics, J. Comput. Phys. 275, 539 (2014).
  19. G. Danker, P. M. Vlahovska, and C. Misbah, Vesicles in Poiseuille Flow, Phys. Rev. Lett. 102, 148102 (2009).
  20. A. Farutin, T. Biben, and C. Misbah, Analytical progress in the theory of vesicles under linear flow, Phys. Rev. E 81, 061904 (2010).
  21. B. Kaoui, G. H. Ristow, I. Cantat, C. Misbah, and W. Zimmermann, Lateral migration of a two-dimensional vesicle in unbounded Poiseuille flow, Phys. Rev. E 77, 021903 (2008).
  22. G. Coupier, B. Kaoui, T. Podgorski, and C. Misbah, Non-inertial lateral migration of vesicles in bounded Poiseuille flow, Phys. Fluids 20, 111702 (2008).
  23. P. Olla, The lift on a tank-treading ellipsoidal cell in a shear flow, J. Phys. II (France) 7, 1533 (1997).
  24. G. Ghigliotti, A. Rahimian, G. Biros, and C. Misbah, Vesicle Migration and Spatial Organization Driven by Flow Line Curvature, Phys. Rev. Lett. 106, 028101 (2011).
  25. I. Cantat and C. Misbah, Lift Force and Dynamical Unbinding of Adhering Vesicles under Shear Flow, Phys. Rev. Lett. 83, 880 (1999).

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Phys. Rev. Fluids 5, 013603– Published 28 January, 2020
  • Received 1 October 2019
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