Journal article ยท Preprint article
Reexamination of Hagen-Poiseuille flow: Shape dependence of the hydraulic resistance in microchannels
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.
Language: | English |
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Publisher: | American Physical Society (APS) |
Year: | 2005 |
Pages: | 057301 |
ISSN: | 15502376 , 15393755 , 24700053 and 24700045 |
Types: | Journal article and Preprint article |
DOI: | 10.1103/PhysRevE.71.057301 |
ORCIDs: | Mortensen, Asger and Bruus, Henrik |