Abstract
| Original language | English |
|---|---|
| Journal | Physical Review E |
| Volume | 71 |
| Issue number | 5 |
| Pages (from-to) | 057301 |
| ISSN | 2470-0045 |
| DOIs | |
| Publication status | Published - 2005 |
Bibliographical note
Copyright 2005 American Physical SocietyCite this
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Reexamination of Hagen-Poiseuille flow: Shape dependence of the hydraulic resistance in microchannels. / Mortensen, Asger; Okkels, Fridolin; Bruus, Henrik.
In: Physical Review E, Vol. 71, No. 5, 2005, p. 057301.Research output: Contribution to journal › Journal article › Research › peer-review
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)
JF - Physical Review E (Statistical, Nonlinear, and Soft Matter Physics)
SN - 2470-0045
IS - 5
ER -