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Reexamination of Hagen-Poiseuille flow: Shape dependence of the hydraulic resistance in microchannels
Open accessAbstract
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= P2/A, while the hydraulic resistance is characterized by the well-known dimensionless geometrical correction factor alpha. We find that alpha 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.
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Cited by
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Metadata
- Authors
- Mortensen, N. A., Okkels, F., & Bruus, H.
- Venue
- Physical Review E
- Publisher
- American Physical Society (APS)
- Published
- 2005-05-05
- Volume
- 71
- Issue
- 5
- Pages
- 057301-057301
- ISSN
- 1539-3755 (ISSN-L)
- 1550-2376
- OpenAlex
- W2019013128
- Cited by
- 305
- References
- 0
- FWCI
- 2.89
- Type
- journal article
- Language
- en
- Open access
- bronze
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- Mortensen, N. A., Okkels, F., & Bruus, H. (2005). Reexamination of Hagen-Poiseuille flow: Shape dependence of the hydraulic resistance in microchannels. Physical Review E. https://doi.org/10.1103/physreve.71.057301
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