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

Publication: Research - peer-review › Journal article – Annual report year: 2005

### Standard

**Reexamination of Hagen-Poiseuille flow: Shape dependence of the hydraulic resistance in microchannels.** / Mortensen, Asger; Okkels, Fridolin; Bruus, Henrik.

Publication: Research - peer-review › Journal article – Annual report year: 2005

### Harvard

*Physical Review E (Statistical, Nonlinear, and Soft Matter Physics)*, vol 71, no. 5, pp. 057301. DOI: 10.1103/PhysRevE.71.057301

### APA

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

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

*71*(5), 057301. DOI: 10.1103/PhysRevE.71.057301

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### MLA

*Physical Review E (Statistical, Nonlinear, and Soft Matter Physics)*. 2005, 71(5). 057301. Available: 10.1103/PhysRevE.71.057301

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### Author

### Bibtex

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### RIS

TY - JOUR

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

AU - Mortensen,Asger

AU - Okkels,Fridolin

AU - Bruus,Henrik

N1 - Copyright 2005 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.

U2 - 10.1103/PhysRevE.71.057301

DO - 10.1103/PhysRevE.71.057301

M3 - Journal article

VL - 71

SP - 057301

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

T2 - Physical Review E (Statistical, Nonlinear, and Soft Matter Physics)

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

SN - 1539-3755

IS - 5

ER -