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    Title: The Analytical and Numerical Solutions for Gaseous Slip Flows in Micro-Channels
    Other Titles: 微流道內之滑動氣體流場探討
    Authors: 陳慶祥;Chen, C. S.
    Contributors: 淡江大學航空太空工程學系
    Keywords: 滑動流;微流道;微機電系統 Slip flow;Micro-channel;MEMS
    Date: 2000-03
    Issue Date: 2013-07-11 11:56:09 (UTC+8)
    Publisher: Taipei : Chinese Institute of Chemical Engineers
    Abstract: The present work studies analytically as well as numerically gaseous
    flow in micro-channels. The working fluids are nitrogen and
    helium. The proposed model assumes the fluid is a continuum, but
    employs a slip boundary condition on the channel wall. Although slip
    flow in micro-channels can be investigated by solving numerically the
    compressible Navier-Stokes equations, as was done previously by several
    investigators, the hyperbolic-parabolic character of the equations
    makes it very inefficient. The results of the present work show that
    they can be predicted accurately by solving the compressible boundary-
    layer equations. The parabolic character of the boundary-layer
    equations renders the present method a very efficient and accurate tool
    in studying slip flows. The results also demonstrate that diffusion is
    the dominant mechanism in momentum and energy transfers in microchannel
    flows. The convective terms in the boundary-layer equations
    can be neglected when compared with the diffusive terms. This reduces
    the governing equations to a simple parabolic equation which
    can be solved analytically. Both analytical and numerical solutions
    compare quite well with experimental data. The slip boundary condition
    is the result of rarefaction, which is due to the incomplete momentum
    and energy exchanges between gas molecules and the walls. Our
    results show that the slip condition has decisive effects on the velocity
    and mass flow rate of the flow and has to be taken into account.
    Relation: Journal of the Chinese Institute of Engineers=中國工程學刊 23(2), pp.229-235
    DOI: 10.1080/02533839.2000.9670541
    Appears in Collections:[航空太空工程學系暨研究所] 期刊論文

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