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We have measured the interaction between $^4$He gas at 4.2$~$K and ahigh-quality nano-electro-mechanical string device for its first 3 symmetricmodes (resonating at 2.2$~$MHz, 6.7$~$MHz and 11$~$MHz with quality factor $Q >0.1$ million) over almost 6 orders of magnitude in pressure. This fluid can beviewed as the best experimental implementation of an almost-ideal monoatomicand inert gas which properties are tabulated. The experiment ranges from highpressure where the flow is of laminar Stokes-type presenting slippage, down tovery low pressures where the flow is molecular. In the molecular regime, whenthe mean-free-path is of the order of the distance between the suspendednano-mechanical probe and the bottom of the trench we resolve for the firsttime the signature of the boundary (Knudsen) layer onto the measureddissipation. Our results are discussed in the framework of the most recenttheories investigating boundary effects in fluids (both analytic approaches andMonte-Carlo DSMC simulations).

Slippage and boundary layer probed in an almost-ideal gas by a nano-mechanical oscillator