Reexamination of Hagen-Poiseuille flow: shape-dependence of the hydraulic resistance in microchannels
| dc.creator | Mortensen, Niels Asger | |
| dc.creator | Okkels, Fridolin | |
| dc.creator | Bruus, Henrik | |
| dc.date | 2004-12-02 | |
| dc.date | 2005-05-04 | |
| dc.date.accessioned | 2026-07-07T05:53:37Z | |
| dc.date.available | 2026-07-07T05:53:37Z | |
| dc.description | 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 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. | |
| dc.description | 4 pages including 3 figures. Revised title, as published | |
| dc.identifier | https://arxiv.org/abs/physics/0412015 | |
| dc.identifier | http://arxiv.org/abs/physics/0412015 | |
| dc.identifier | Phys. Rev. E 71, 057301 (2005) | |
| dc.identifier | doi:10.1103/PhysRevE.71.057301 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/86709 | |
| dc.subject | Fluid Dynamics | |
| dc.subject | Soft Condensed Matter | |
| dc.title | Reexamination of Hagen-Poiseuille flow: shape-dependence of the hydraulic resistance in microchannels | |
| dc.type | text |