Work

Reexamination of Hagen-Poiseuille flow: Shape dependence of the hydraulic resistance in microchannels

Year: 2005

Type: article

Abstract: 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.

Source: Physical Review E

DOI: 10.1103/physreve.71.057301

Authors: Niels Asger Mortensen, Fridolin Okkels, Henrik Bruus

Institution: Technical University of Denmark

Language: English

Topic: Microfluidic and Capillary Electrophoresis Applications

Subfield: Biomedical Engineering

Field: Engineering

Domain: Physical Sciences

Open Access status: bronze

Funder: Teknologi og Produktion, Det Frie Forskningsråd

OpenAlex ID: W2019013128

FWCI: 2.727

Cites: 4

Cited by: 326

Related to: 10