Journal of Fluid Mechanics

Papers

Gas flows in microchannels and microtubes

CHUNPEI CAIa1, QUANHUA SUNa2 and IAIN D. BOYDa3

a1 ZONA Technology Inc., Scottsdale, AZ 85258, USA

a2 ESI US R&D, Huntsville, Alabama 35806

a3 Department of Aerospace Engineering, University of Michigan, Ann Arbor, MI 48109, USA

Abstract

This study analyses compressible gas flows through microchannels or microtubes, and develops two complete sets of asymptotic solutions. It is a natural extension of the previous work by Arkilic et al. on compressible flows through microchannels. First, by comparing the magnitudes of different forces in the compressible gas flow, we obtain proper estimations for the Reynolds and Mach numbers at the outlets. Second, based on these estimations, we obtain asymptotic analytical solutions of velocities, pressure and temperature distributions of compressible gas flow inside the microchannels and microtubes with a relaxation of the isothermal assumption, which was previously used in many studies. Numerical simulations of compressible flows through a microchannel and a microtube are performed by solving the compressible Navier–Stokes equations, with velocity slip and temperature jump wall boundary conditions. The numerical simulation results validate the analytical results from this study.

(Received February 15 2007)

(Revised August 03 2007)

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