Laminar flow in microchannels with noncircular cross section

Ali Tamayol, Majid Bahrami

Research output: Contribution to journalArticlepeer-review

45 Scopus citations


Analytical solutions are presented for laminar fully developed flow in micro-/minichannels of hyperelliptical and regular polygonal cross sections in the form of compact relationships. The considered geometries cover a wide range of common simply connected shapes including circle, ellipse, rectangle, rectangle-with-round-corners, rhombus, star-shape, equilateral triangle, square, pentagon, and hexagon. A point matching technique is used to calculate closed form solutions for the velocity distributions in the above-mentioned channel cross sections. The developed relationships for the velocity distribution and pressure drop are successfully compared with existing analytical solutions and experimental data collected from various sources for a variety of geometries, including polygonal, rectangular, circular, elliptical, and rhombic cross sections. The present compact solutions provide a convenient and power tool for performing hydrodynamic analyses in a variety of fundamental and engineering applications such as in microfluidics, transport phenomena, and porous media.

Original languageEnglish (US)
Pages (from-to)111201-1-111201-9
JournalJournal of Fluids Engineering, Transactions of the ASME
Issue number11
StatePublished - Nov 2010
Externally publishedYes

ASJC Scopus subject areas

  • Mechanical Engineering


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