Display options
Cite
Kabacaoğlu G, Quaife B, Biros G. Quantification of mixing in vesicle suspensions using numerical simulations in two dimensions. Phys Fluids (1994). 2017;29(2):021901doi: 10.1063/1.4975154.
Kabacaoğlu, G., Quaife, B., & Biros, G. (2017). Quantification of mixing in vesicle suspensions using numerical simulations in two dimensions. Physics of fluids (Woodbury, N.Y. : 1994), 29(2), 021901. https://doi.org/10.1063/1.4975154
Kabacaoğlu, G, et al. "Quantification of mixing in vesicle suspensions using numerical simulations in two dimensions." Physics of fluids (Woodbury, N.Y. : 1994) vol. 29,2 (2017): 021901. doi: https://doi.org/10.1063/1.4975154
Kabacaoğlu G, Quaife B, Biros G. Quantification of mixing in vesicle suspensions using numerical simulations in two dimensions. Phys Fluids (1994). 2017 Feb;29(2):021901. doi: 10.1063/1.4975154. Epub 2017 Feb 09. PMID: 28344432; PMCID: PMC5321511.
Copy Download .nbib Format: NLM
Share it on

Phys Fluids (1994). 2017 Feb;29(2):021901. doi: 10.1063/1.4975154. Epub 2017 Feb 09.

Quantification of mixing in vesicle suspensions using numerical simulations in two dimensions.

Physics of fluids (Woodbury, N.Y. : 1994)

G Kabacaoğlu, B Quaife, G Biros

Affiliations

  1. Department of Mechanical Engineering, The University of Texas at Austin , Austin, Texas 78712, USA.
  2. Department of Scientific Computing, Florida State University , Tallahassee, Florida 32306, USA.

PMID: 28344432 PMCID: PMC5321511 DOI: 10.1063/1.4975154

Abstract

We study mixing in Stokesian vesicle suspensions in two dimensions on a cylindrical Couette apparatus using numerical simulations. The vesicle flow simulation is done using a boundary integral method, and the advection-diffusion equation for the mixing of the solute is solved using a pseudo-spectral scheme. We study the effect of the area fraction, the viscosity contrast between the inside (the vesicles) and the outside (the bulk) fluid, the initial condition of the solute, and the mixing metric. We compare mixing in the suspension with mixing in the Couette apparatus without vesicles. On the one hand, the presence of vesicles in most cases slightly suppresses mixing. This is because the solute can be only diffused across the vesicle interface and not advected. On the other hand, there exist spatial distributions of the solute for which the unperturbed Couette flow completely fails to mix whereas the presence of vesicles enables mixing. We derive a simple condition that relates the velocity and solute and can be used to characterize the cases in which the presence of vesicles promotes mixing.

References

  1. Philos Trans A Math Phys Eng Sci. 2004 May 15;362(1818):1001-18 - PubMed
  2. Phys Rev Lett. 2011 Jan 14;106(2):028101 - PubMed
  3. Phys Rev E Stat Nonlin Soft Matter Phys. 2006 Aug;74(2 Pt 2):025301 - PubMed
  4. Math Biosci. 1993 Jul;116(1):89-110 - PubMed
  5. Phys Rev Lett. 2006 Jan 20;96(2):028104 - PubMed
  6. Phys Rev Lett. 2008 Jun 20;100(24):248101 - PubMed
  7. Proc Natl Acad Sci U S A. 2005 Oct 4;102(40):14159-64 - PubMed
  8. J Magn Magn Mater. 2011 Mar 1;323(6):651-668 - PubMed
  9. Phys Rev Lett. 1996 Oct 21;77(17):3685-3688 - PubMed
  10. Philos Trans A Math Phys Eng Sci. 2004 May 15;362(1818):923-35 - PubMed
  11. Nature. 2009 Jul 30;460(7255):624-6 - PubMed
  12. Annu Rev Fluid Mech. 2005 Jan 1;37:43-69 - PubMed

Publication Types