Chaotic mixing by oscillating a Stokeslet in a circular Hele-Shaw microfluidic device

Yasser Aboelkassem

Nanoscale Systems: Mathematical Modeling, Theory and Applications (2016)

  • Volume: 5, Issue: 1, page 1-8
  • ISSN: 2299-3290

Abstract

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Chaotic mixing by oscillating a Stokeslet in a circular Hele-Shaw microffluidic device is presented in this article. Mathematical modeling for the induced flow motions by moving a Stokeslet along the x-axis is derived using Fourier expansion method. The solution is formulated in terms of the velocity stream function. The model is then used to explore different stirring dynamics as function of the Stokeslet parameters. For instance, the effects of using various oscillation amplitudes and force strengths are investigated. Mixing patterns using Poincaré maps are obtained numerically and have been used to characterize the mixing efficiency. Results have shown that, for a given Stokeslet’s strength, efficient mixing can be obtained when small oscillation amplitudes are used. The present mixing platform is expected to be useful for many of biomicrofluidic applications.

How to cite

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Yasser Aboelkassem. "Chaotic mixing by oscillating a Stokeslet in a circular Hele-Shaw microfluidic device." Nanoscale Systems: Mathematical Modeling, Theory and Applications 5.1 (2016): 1-8. <http://eudml.org/doc/285573>.

@article{YasserAboelkassem2016,
abstract = {Chaotic mixing by oscillating a Stokeslet in a circular Hele-Shaw microffluidic device is presented in this article. Mathematical modeling for the induced flow motions by moving a Stokeslet along the x-axis is derived using Fourier expansion method. The solution is formulated in terms of the velocity stream function. The model is then used to explore different stirring dynamics as function of the Stokeslet parameters. For instance, the effects of using various oscillation amplitudes and force strengths are investigated. Mixing patterns using Poincaré maps are obtained numerically and have been used to characterize the mixing efficiency. Results have shown that, for a given Stokeslet’s strength, efficient mixing can be obtained when small oscillation amplitudes are used. The present mixing platform is expected to be useful for many of biomicrofluidic applications.},
author = {Yasser Aboelkassem},
journal = {Nanoscale Systems: Mathematical Modeling, Theory and Applications},
language = {eng},
number = {1},
pages = {1-8},
title = {Chaotic mixing by oscillating a Stokeslet in a circular Hele-Shaw microfluidic device},
url = {http://eudml.org/doc/285573},
volume = {5},
year = {2016},
}

TY - JOUR
AU - Yasser Aboelkassem
TI - Chaotic mixing by oscillating a Stokeslet in a circular Hele-Shaw microfluidic device
JO - Nanoscale Systems: Mathematical Modeling, Theory and Applications
PY - 2016
VL - 5
IS - 1
SP - 1
EP - 8
AB - Chaotic mixing by oscillating a Stokeslet in a circular Hele-Shaw microffluidic device is presented in this article. Mathematical modeling for the induced flow motions by moving a Stokeslet along the x-axis is derived using Fourier expansion method. The solution is formulated in terms of the velocity stream function. The model is then used to explore different stirring dynamics as function of the Stokeslet parameters. For instance, the effects of using various oscillation amplitudes and force strengths are investigated. Mixing patterns using Poincaré maps are obtained numerically and have been used to characterize the mixing efficiency. Results have shown that, for a given Stokeslet’s strength, efficient mixing can be obtained when small oscillation amplitudes are used. The present mixing platform is expected to be useful for many of biomicrofluidic applications.
LA - eng
UR - http://eudml.org/doc/285573
ER -

References

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