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Gas flows in microchannels and microtubes

Published online by Cambridge University Press:  08 October 2007

CHUNPEI CAI ,
QUANHUA SUN  and
IAIN D. BOYD
CHUNPEI CAI
Affiliation:
ZONA Technology Inc., Scottsdale, AZ 85258, USA
QUANHUA SUN
Affiliation:
ESI US R&D, Huntsville, Alabama35806
IAIN D. BOYD
Affiliation:
Department of Aerospace Engineering, University of Michigan, Ann Arbor, MI 48109, USA
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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.

Type
Papers
Information
Journal of Fluid Mechanics , Volume 589 , 25 October 2007 , pp. 305 - 314
Copyright
Copyright © Cambridge University Press 2007

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