Slip-flow pressure drop in microchannels of general cross section

M. Bahrami, A. Tamayol, P. Taheri

Research output: Contribution to journalArticle

41 Scopus citations

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 Poisson's equation with homogeneous boundary condition. Square root of area is selected as the characteristic length scale. The model of Bahrami et al. (2006, "Pressure Drop of Laminar, Fully Developed Flow in Microchannels of Arbitrary Cross Section," ASME J. Fluids Eng., 128, pp. 1036-1044), which was developed for no-slip boundary condition, is extended to cover the slip-flow regime in this study. The proposed model for pressure drop 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 collected from different sources in 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)
Pages (from-to)312011-312018
Number of pages8
JournalJournal of Fluids Engineering, Transactions of the ASME
Volume131
Issue number3
DOIs
StatePublished - Mar 2009

Keywords

  • General cross section
  • Microchannels
  • Pressure distribution
  • Slip-flow

ASJC Scopus subject areas

  • Mechanical Engineering

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