Reexamination of Hagen-Poiseuille flow: Shape dependence of the hydraulic resistance in microchannels

Publication: Research - peer-reviewJournal article – Annual report year: 2005

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@article{2e0a27e2c14c41b2ba54fb244b9b0a2f,
title = "Reexamination of Hagen-Poiseuille flow: Shape dependence of the hydraulic resistance in microchannels",
publisher = "American Physical Society",
author = "Asger Mortensen and Fridolin Okkels and Henrik Bruus",
note = "Copyright 2005 American Physical Society",
year = "2005",
doi = "10.1103/PhysRevE.71.057301",
volume = "71",
number = "5",
pages = "057301",
journal = "Physical Review E (Statistical, Nonlinear, and Soft Matter Physics)",
issn = "1539-3755",

}

RIS

TY - JOUR

T1 - Reexamination of Hagen-Poiseuille flow: Shape dependence of the hydraulic resistance in microchannels

A1 - Mortensen,Asger

A1 - Okkels,Fridolin

A1 - Bruus,Henrik

AU - Mortensen,Asger

AU - Okkels,Fridolin

AU - Bruus,Henrik

PB - American Physical Society

PY - 2005

Y1 - 2005

N2 - We consider pressure-driven, steady-state Poiseuille flow in straight channels with various cross-sectional shapes: elliptic, rectangular, triangular, and harmonic-perturbed circles. A given shape is characterized by its perimeter P and area A which are combined into the dimensionless compactness number C= P-2/A, while the hydraulic resistance is characterized by the well-known dimensionless geometrical correction factor a. We find that a depends linearly on C, which points out C as a single dimensionless measure characterizing flow properties as well as the strength and effectiveness of surface-related phenomena central to lab-on-a-chip applications. This measure also provides a simple way to evaluate the hydraulic resistance for the various shapes.

AB - We consider pressure-driven, steady-state Poiseuille flow in straight channels with various cross-sectional shapes: elliptic, rectangular, triangular, and harmonic-perturbed circles. A given shape is characterized by its perimeter P and area A which are combined into the dimensionless compactness number C= P-2/A, while the hydraulic resistance is characterized by the well-known dimensionless geometrical correction factor a. We find that a depends linearly on C, which points out C as a single dimensionless measure characterizing flow properties as well as the strength and effectiveness of surface-related phenomena central to lab-on-a-chip applications. This measure also provides a simple way to evaluate the hydraulic resistance for the various shapes.

UR - http://link.aps.org/doi/10.1103/PhysRevE.71.057301

U2 - 10.1103/PhysRevE.71.057301

DO - 10.1103/PhysRevE.71.057301

JO - Physical Review E (Statistical, Nonlinear, and Soft Matter Physics)

JF - Physical Review E (Statistical, Nonlinear, and Soft Matter Physics)

SN - 1539-3755

IS - 5

VL - 71

SP - 057301

ER -