Slip flow in collapsing microchannels

Abstract eng:
In this study we investigate the effects of rarefaction on the flow through a two-dimensional microchannel driven by periodically collapsing walls. The Navier Stokes equations are linearized using lubrication theory assumptions, and slip boundary conditions are imposed. Two up-down symmetric collapse sites in the channel are periodically actuated. The axial and vertical velocities, axial pressure gradient, and time averaged flow rates are found as a function of the phase lag between the two contraction sites, with and without slip. The optimal phase lag that maximizes the flow rate increases with the value of the slip parameter, from approximately 60◦ for no slip to approximately 70◦ for the largest value of the slip parameter considered, β = 0.1. As is the case for pressure driven flow through a microchannel, adding slip is found to reduce the rate of contraction-driven flow through the microchannel.

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