Slip-flow pressure drop in microchannels of general cross-section

A. Tamayol, M. Bahrami, P. Taheri

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

Abstract

In the present study, a compact analytical model is developed to determine the pressure drop of fully-developed, incompressible, and constant properties slip-flow through arbitrary cross-section microchannels. An averaged first-order Maxwell slip boundary condition is considered. Introducing a relative velocity, the difference between the bulk flow and the boundary velocities, the axial momentum reduces to the Poisson's equation with homogeneous boundary condition. Square root of area is selected as the characteristic length scale. Bahrami et al.'s model, which was developed no-slip boundary condition, is extended to cover the slip-flow regime in this study. The proposed model is a function of geometrical parameters of the channel: cross-sectional area, perimeter, polar moment of inertia and the Knudsen number. The model is successfully validated against existing numerical and experimental data from different sources in the literature for several shapes, including: circular, rectangular, trapezoidal, and double-trapezoidal cross-sections and a variety of gases such as: nitrogen, argon, and helium.

Original languageEnglish (US)
Title of host publicationProceedings of the 6th International Conference on Nanochannels, Microchannels, and Minichannels, ICNMM2008
Pages85-93
Number of pages9
EditionPART A
DOIs
StatePublished - Dec 1 2008
Event6th International Conference on Nanochannels, Microchannels, and Minichannels, ICNMM2008 - Darmstadt, Germany
Duration: Jun 23 2008Jun 25 2008

Publication series

NameProceedings of the 6th International Conference on Nanochannels, Microchannels, and Minichannels, ICNMM2008
NumberPART A

Other

Other6th International Conference on Nanochannels, Microchannels, and Minichannels, ICNMM2008
CountryGermany
CityDarmstadt
Period6/23/086/25/08

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ASJC Scopus subject areas

  • Process Chemistry and Technology

Cite this

Tamayol, A., Bahrami, M., & Taheri, P. (2008). Slip-flow pressure drop in microchannels of general cross-section. In Proceedings of the 6th International Conference on Nanochannels, Microchannels, and Minichannels, ICNMM2008 (PART A ed., pp. 85-93). (Proceedings of the 6th International Conference on Nanochannels, Microchannels, and Minichannels, ICNMM2008; No. PART A). https://doi.org/10.1115/ICNMM2008-62199