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

Kabacaoğlu, G.; Quaife, B.; Biros, G.

doi:10.1063/1.4975154

Title: Quantification of mixing in vesicle suspensions using numerical simulations in two dimensions

Journal Article · 09 February 2017 · Physics of Fluids

DOI: https://doi.org/10.1063/1.4975154 · OSTI ID:1466739

^[1]; Quaife, B. ^[2]; Biros, G. ^[3]

Univ. of Texas, Austin, TX (United States). Department of Mechanical Engineering
Florida State Univ., Tallahassee, FL (United States). Department of Scientific Computing
Univ. of Texas, Austin, TX (United States). Department of Mechanical Engineering and Institute for Computational Engineering and Sciences

Here, 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. Finally, 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.

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Research Organization:: Univ. of Texas, Austin, TX (United States). Department of Mechanical Engineering

Sponsoring Organization:: USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR); USDOE

Grant/Contract Number:: SC0010518; SC0009286

OSTI ID:: 1466739

Alternate ID(s):: OSTI ID: 1349338

Journal Information:: Physics of Fluids, Vol. 29, Issue 2; ISSN 1070-6631

Publisher:: American Institute of Physics (AIP)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 11 works

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Modelling solute transport in the brain microcirculation: is it really well mixed inside the blood vessels? Berg, Maxime; Davit, Yohan; Quintard, Michel Journal of Fluid Mechanics, Vol. 884 https://doi.org/10.1017/jfm.2019.866	journal	December 2019
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