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Gas flows in microchannels and microtubes

  • CHUNPEI CAI (a1), QUANHUA SUN (a2) and IAIN D. BOYD (a3)
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.

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E. B. Arkilic , M. A. Schmidt , K. S. Breuer 1997 Gaseous slip flow in long microchannels. J. Micro. Electro. Mech. Sys. 6, 167178.

C. Cai , I. D Boyd , J. Fan , G. V. Candler 2000 Direct simulation methods for low-speed microchannel flows. J. Thermophys. Heat Tranfser 14, 368378.

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C. M. Ho & Y. C. Tai 1998 Micro-electro-mechanical-systems(mems) and fluid flows. Annu. Rev. Fluid Mech. 30, 579612.

R. K. Prud'homme , T. W. Champman , J. R. Brown 1986 Laminar compressible flow in a tube. Appl. Sci. Res. 43, 6774.

F. H. Qin , D. J. Sun & X. Y. Yin 2007 Perturbation analysis gas flow in a straight microchannel. Phys. Fluids 19, 027103.

C. Shen , J. Fan & C. Xie 2003 Statistical simulation of rarefied gas flows in micro-channels. J. Comput. Phys. 189, 512.

M. Wang & Z. Li 2004 Micro- and nanoscale non-ideal gas poiseuille flows in a consistent boltzmann algorithm model. J. MicroMech. Microengng 14, 10571063.

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Journal of Fluid Mechanics
  • ISSN: 0022-1120
  • EISSN: 1469-7645
  • URL: /core/journals/journal-of-fluid-mechanics
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