Hostname: page-component-8448b6f56d-t5pn6 Total loading time: 0 Render date: 2024-04-19T00:42:06.162Z Has data issue: false hasContentIssue false
  • English
  • Français

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
Get access Rights & Permissions [Opens in a new window]

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

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

Arkilic, E. B., Schmidt, M. A., Breuer, K. S. 1997 Gaseous slip flow in long microchannels. J. Micro. Electro. Mech. Sys. 6, 167–178.CrossRefGoogle Scholar
Arkilic, E. B., Schmidt, M. A., Breuer, K. S. 2001 Slip flows and tangential momentum accomdation in micromachined channels. J. Fluid Mech. 437, 29–43.CrossRefGoogle Scholar
van den Berg, H. R., ten Seldam, C. A., van der Guli, P. S. 1993 Compressible laminar flow in a capillary. J. Fluid Mech. 246, 1–20.CrossRefGoogle Scholar
Cai, C., Boyd, I. D, Fan, J., Candler, G. V. 2000 Direct simulation methods for low-speed microchannel flows. J. Thermophys. Heat Tranfser 14, 368–378.CrossRefGoogle Scholar
Chen, X. 1996 GasKinetics and Its Applications in Heat Transfer and Flow. TsingHua University Press, Beijing.Google Scholar
Harley, J. C. & Huang, Y. H. 1995 Gas flow in micro-channels. J. Fluid Mech. 284, 257–274.CrossRefGoogle Scholar
Hetstroni, G., Mosyak, A., Pogrebnyak, E. & Yarin, L.P. 2005 Heat transfer in micro-channels: comparison of experiments with theory and numerical results. Intl J. Heat Mass Transfer 48, 5580–5601.CrossRefGoogle Scholar
Ho, C. M. & Tai, Y. C. 1998 Micro-electro-mechanical-systems(mems) and fluid flows. Annu. Rev. Fluid Mech. 30, 579–612.CrossRefGoogle Scholar
Kedzierski, M. A. 2003 Microchannel heat transfer, pressure drop and macro prediction methods. 2nd Intl Conf. on Heat Transfer, Fluid Mechanics and Thermodynamics pp. 1057–1063. University of Pretoria.Google Scholar
Pong, K. C., Ho, C. M., Liu, J. Q. 1994 Nonlinear pressure distribution in uniform microchannels. In Application of Microfabrication to Fluid Mechanics, ASME Winter Annual Meeting. Chicago. pp. 51–56.Google Scholar
Prud'homme, R. K., Champman, T. W., Brown, J. R. 1986 Laminar compressible flow in a tube. Appl. Sci. Res. 43, 67–74.CrossRefGoogle Scholar
Qin, F. H., Sun, D. J. & Yin, X. Y. 2007 Perturbation analysis gas flow in a straight microchannel. Phys. Fluids 19, 027103.CrossRefGoogle Scholar
Shen, C., Fan, J. & Xie, C. 2003 Statistical simulation of rarefied gas flows in micro-channels. J. Comput. Phys. 189, 512.CrossRefGoogle Scholar
Wang, M. & Li, Z. 2004 Micro- and nanoscale non-ideal gas poiseuille flows in a consistent boltzmann algorithm model. J. MicroMech. Microengng 14, 1057–1063.CrossRefGoogle Scholar
Xu, K. & Li, Z. 2004 Microchannel flow in the slip regime: Gas-kinetic bgk-burnett solutions. J. Fluid Mech. 513, 87–110.CrossRefGoogle Scholar
Zheng, Y., Garcia, A. L. & Alder, B. J. 2000 Comparison of kinetic theory and hydrodynamics for Poiseuille flow. J. Statist. Phys. 109, 368–378.Google Scholar
Zohar, Y. L., Li, S. Y. K., Lee, W. Y., Jiang, L., Tong, P. 2004 Subsonic gas flow in a straight and uniform microchannel. J. Fluid Mech. 472, 125–151.CrossRefGoogle Scholar