Abstract
Two-dimensional Stokes flow through a microchannel with a slit inside composed of a couple of thin plates is investigated. At far upstream and downstream from the slit in the channel, the plane Poiseuille flow exists. The Stokes equation is solved analytically for the slip velocity boundary condition. Flow properties such as stream function and pressure distribution are determined. From the results the streamline pattern and pressure distribution are plotted, and the slip velocity at the boundaries is shown. The excess pressure drop due to the slit and the force exerted on the plate are calculated as functions of the length of the plate, and they are almost independent of the Knudsen number.
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