### Abstract

Microfluidic designs require the effort to understand the flow pattern depending on the channel geometry. An in-depth analysis based on the theoretical model is presented for the pressure-driven electrokinetic microflows in curved rectangular channels by applying the finite volume scheme with a SIMPLE (semi-implicit method for pressure-linked equations) algorithm. The external body force originated from between the nonlinear Poisson-Boltzmann field around the channel wall and the flow-induced electric field is employed in the Navier-Stokes equation, and the Nernst-Planck equation is taken into further consideration. Unknown pressure terms of the momentum equation are solved by using the continuity equation as the pressure-velocity coupling achieves convergence. Attention is focused on the geometry effect on the fluid velocity profile at the turn of charged rectangular channels with ranging complementary channel aspect ratios (i.e., H/W=0.2-5.0). Simulation results exhibit that the streamwise axial velocity at the turn skews the profile to the inner region of the microchannel. This is due to the stronger effect of spanwise pressure gradient arising from a sufficiently low Dean number. The skewed pattern in the velocity profile becomes greater with decreasing channel aspect ratio as well as degree of the channel curvature. Quantitative predictions for the decreasing velocity due to the electrokinetic interaction were also provided in both cases of shallow and deep microchannels.

Original language | English |
---|---|

Article number | 013005PHF |

Pages (from-to) | 1-10 |

Number of pages | 10 |

Journal | Physics of Fluids |

Volume | 22 |

Issue number | 5 |

DOIs | |

Publication status | Published - 2010 May 1 |

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### ASJC Scopus subject areas

- Condensed Matter Physics

### Cite this

*Physics of Fluids*,

*22*(5), 1-10. [013005PHF]. https://doi.org/10.1063/1.3427572

**The geometry effect on steady electrokinetic flows in curved rectangular microchannels.** / Yun, Jang H.; Chun, Myung S.; Jung, Hyun Wook.

Research output: Contribution to journal › Article

*Physics of Fluids*, vol. 22, no. 5, 013005PHF, pp. 1-10. https://doi.org/10.1063/1.3427572

}

TY - JOUR

T1 - The geometry effect on steady electrokinetic flows in curved rectangular microchannels

AU - Yun, Jang H.

AU - Chun, Myung S.

AU - Jung, Hyun Wook

PY - 2010/5/1

Y1 - 2010/5/1

N2 - Microfluidic designs require the effort to understand the flow pattern depending on the channel geometry. An in-depth analysis based on the theoretical model is presented for the pressure-driven electrokinetic microflows in curved rectangular channels by applying the finite volume scheme with a SIMPLE (semi-implicit method for pressure-linked equations) algorithm. The external body force originated from between the nonlinear Poisson-Boltzmann field around the channel wall and the flow-induced electric field is employed in the Navier-Stokes equation, and the Nernst-Planck equation is taken into further consideration. Unknown pressure terms of the momentum equation are solved by using the continuity equation as the pressure-velocity coupling achieves convergence. Attention is focused on the geometry effect on the fluid velocity profile at the turn of charged rectangular channels with ranging complementary channel aspect ratios (i.e., H/W=0.2-5.0). Simulation results exhibit that the streamwise axial velocity at the turn skews the profile to the inner region of the microchannel. This is due to the stronger effect of spanwise pressure gradient arising from a sufficiently low Dean number. The skewed pattern in the velocity profile becomes greater with decreasing channel aspect ratio as well as degree of the channel curvature. Quantitative predictions for the decreasing velocity due to the electrokinetic interaction were also provided in both cases of shallow and deep microchannels.

AB - Microfluidic designs require the effort to understand the flow pattern depending on the channel geometry. An in-depth analysis based on the theoretical model is presented for the pressure-driven electrokinetic microflows in curved rectangular channels by applying the finite volume scheme with a SIMPLE (semi-implicit method for pressure-linked equations) algorithm. The external body force originated from between the nonlinear Poisson-Boltzmann field around the channel wall and the flow-induced electric field is employed in the Navier-Stokes equation, and the Nernst-Planck equation is taken into further consideration. Unknown pressure terms of the momentum equation are solved by using the continuity equation as the pressure-velocity coupling achieves convergence. Attention is focused on the geometry effect on the fluid velocity profile at the turn of charged rectangular channels with ranging complementary channel aspect ratios (i.e., H/W=0.2-5.0). Simulation results exhibit that the streamwise axial velocity at the turn skews the profile to the inner region of the microchannel. This is due to the stronger effect of spanwise pressure gradient arising from a sufficiently low Dean number. The skewed pattern in the velocity profile becomes greater with decreasing channel aspect ratio as well as degree of the channel curvature. Quantitative predictions for the decreasing velocity due to the electrokinetic interaction were also provided in both cases of shallow and deep microchannels.

UR - http://www.scopus.com/inward/record.url?scp=77955590538&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=77955590538&partnerID=8YFLogxK

U2 - 10.1063/1.3427572

DO - 10.1063/1.3427572

M3 - Article

VL - 22

SP - 1

EP - 10

JO - Physics of Fluids

JF - Physics of Fluids

SN - 1070-6631

IS - 5

M1 - 013005PHF

ER -