Analytical solutions for laminar fully-developed flow in microchannels with non-circular cross-section

A. Tamayol, M. Bahrami

Research output: Chapter in Book/Report/Conference proceedingConference contribution

5 Scopus citations

Abstract

Analytical solutions are presented for laminar fully-developed flow in micro/minichannels of hyperelliptical and regular polygonal cross-sections. The considered geometries cover a wide range of common simply connected shapes including circle, ellipse, rectangle, rhomboid, star-shape, equilateral triangle, square, pentagon, and hexagon. Therefore, the present approach can be considered as a general solution. Predicted results 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.

Original languageEnglish (US)
Title of host publicationProceedings of the ASME Fluids Engineering Division Summer Conference 2009, FEDSM2009
Pages1323-1333
Number of pages11
EditionPART B
DOIs
StatePublished - Dec 1 2009
Event2009 ASME Fluids Engineering Division Summer Conference, FEDSM2009 - Vail, CO, United States
Duration: Aug 2 2009Aug 6 2009

Publication series

NameProceedings of the ASME Fluids Engineering Division Summer Conference 2009, FEDSM2009
NumberPART B
Volume1

Other

Other2009 ASME Fluids Engineering Division Summer Conference, FEDSM2009
CountryUnited States
CityVail, CO
Period8/2/098/6/09

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ASJC Scopus subject areas

  • Fluid Flow and Transfer Processes
  • Mechanical Engineering

Cite this

Tamayol, A., & Bahrami, M. (2009). Analytical solutions for laminar fully-developed flow in microchannels with non-circular cross-section. In Proceedings of the ASME Fluids Engineering Division Summer Conference 2009, FEDSM2009 (PART B ed., pp. 1323-1333). (Proceedings of the ASME Fluids Engineering Division Summer Conference 2009, FEDSM2009; Vol. 1, No. PART B). https://doi.org/10.1115/FEDSM2009-78167