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

Abstract

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.

Authors:
ORCiD logo [1];  [2];  [3]
  1. Univ. of Texas, Austin, TX (United States). Department of Mechanical Engineering
  2. Florida State Univ., Tallahassee, FL (United States). Department of Scientific Computing
  3. Univ. of Texas, Austin, TX (United States). Department of Mechanical Engineering and Institute for Computational Engineering and Sciences
Publication Date:
Research Org.:
Univ. of Texas, Austin, TX (United States). Department of Mechanical Engineering
Sponsoring Org.:
USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR) (SC-21)
OSTI Identifier:
1466739
Alternate Identifier(s):
OSTI ID: 1349338
Grant/Contract Number:  
SC0010518; SC0009286
Resource Type:
Journal Article: Accepted Manuscript
Journal Name:
Physics of Fluids
Additional Journal Information:
Journal Volume: 29; Journal Issue: 2; Journal ID: ISSN 1070-6631
Publisher:
American Institute of Physics (AIP)
Country of Publication:
United States
Language:
English
Subject:
42 ENGINEERING; 97 MATHEMATICS AND COMPUTING; 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS

Citation Formats

Kabacaoğlu, G., Quaife, B., and Biros, G. Quantification of mixing in vesicle suspensions using numerical simulations in two dimensions. United States: N. p., 2017. Web. doi:10.1063/1.4975154.
Kabacaoğlu, G., Quaife, B., & Biros, G. Quantification of mixing in vesicle suspensions using numerical simulations in two dimensions. United States. doi:10.1063/1.4975154.
Kabacaoğlu, G., Quaife, B., and Biros, G. Thu . "Quantification of mixing in vesicle suspensions using numerical simulations in two dimensions". United States. doi:10.1063/1.4975154. https://www.osti.gov/servlets/purl/1466739.
@article{osti_1466739,
title = {Quantification of mixing in vesicle suspensions using numerical simulations in two dimensions},
author = {Kabacaoğlu, G. and Quaife, B. and Biros, G.},
abstractNote = {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.},
doi = {10.1063/1.4975154},
journal = {Physics of Fluids},
number = 2,
volume = 29,
place = {United States},
year = {Thu Feb 09 00:00:00 EST 2017},
month = {Thu Feb 09 00:00:00 EST 2017}
}

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Works referenced in this record:

Micromixers�a review on passive and active mixing principles
journal, April 2005

  • Hessel, Volker; L�we, Holger; Sch�nfeld, Friedhelm
  • Chemical Engineering Science, Vol. 60, Issue 8-9, p. 2479-2501
  • DOI: 10.1016/j.ces.2004.11.033