Micropumps are a necessary device for microfluidics. Many solutions are possible and technical devices are numerous. In this paper, we have developed an analytical solution for the peristaltic technique in microchannels that enlighten some physical limitations. We have then compared this solution to a numerical one that also provides results when no theoretical results were found. The squeezing of the wall, in the peristaltic technique, is represented by the corner formed by a rolling cylinder on a wall (cf. fig.1).

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