Physics – Fluid Dynamics
Scientific paper
2004-12-02
Phys. Rev. E 71, 057301 (2005)
Physics
Fluid Dynamics
4 pages including 3 figures. Revised title, as published
Scientific paper
10.1103/PhysRevE.71.057301
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.
Bruus Henrik
Mortensen Niels Asger
Okkels Fridolin
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