Abstract
Molecular dynamics simulations of force-driven nano-channel gas flows show two distinct flow regions. While the bulk flow region can be determined using kinetic theory, transport in the near-wall region is dominated by gas–wall interactions. This duality enables definition of an inner-layer scaling, \(y^{*}\), based on the molecular dimensions. For gas–wall interactions determined by Lennard–Jones potential, the velocity distribution for \(y^{*} \le 3\) exhibits a universal behavior as a function of the local Knudsen number and gas–wall interaction parameters, which can be interpreted as the “law of the nano-wall.” Knowing the velocity and density distributions within this region and using the bulk flow velocity profiles from Beskok–Karniadakis model (Beskok and Karniadakis in Microscale Thermophys Eng 3(1):43–77, 1999), we outline a procedure that can correct kinetic-theory-based mass flow rate predictions in the literature for various nano-channel gas flows.
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Acknowledgments
Murat Barisik would like to thank H2020 Marie Skłodowska-Curie action CO-FUNDED Brain Circulation Scheme for support under the Grant Number TÜBİTAK 115C026. Ali Beskok would like to thank American Chemical Society (ACS) for support under the Grant Number 54562-ND9.
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Barisik, M., Beskok, A. “Law of the nano-wall” in nano-channel gas flows. Microfluid Nanofluid 20, 46 (2016). https://doi.org/10.1007/s10404-016-1713-6
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DOI: https://doi.org/10.1007/s10404-016-1713-6