Study of acoustic wave propagation in micro- and nanochannels. (English) Zbl 1524.76391
Summary: The acoustic wave propagating through porous nanomaterials like aerogels, microelectromechanical systems (MEMS) devices, high-frequency acoustic transmission devices or near-vacuum systems, possesses relatively high Knudsen numbers, normally in the transition regime \((0.1<\mathrm{Kn}<10)\). In this regime, the characteristic length of micro- and nanochannels is comparable with the mean free path of monatomic gases, in which the classical continuum theory breaks down. In this paper, a theoretical model with the second-order slip boundary is proposed to describe acoustic wave propagation in micro- and nanochannels. The proposed theoretical model provides analytical solutions for the complex wavenumber, attenuation coefficient and other related transmission variables as function of a Knudsen number in the early transition regime \((0.1 <\mathrm{Kn}<1.0)\), which are valuable for understanding acoustics at micro- and nanoscales. In addition, numerical simulations using the molecular-based direct simulation Monte Carlo (DSMC) method for dilute argon gas are carried out to validate the model and its analytical results. Findings suggest that such a model can effectively predict the acoustic behaviour in micro- and nanochannels.
MSC:
| 76Q05 | Hydro- and aero-acoustics |
| 65C05 | Monte Carlo methods |
| 76S05 | Flows in porous media; filtration; seepage |
| 76M28 | Particle methods and lattice-gas methods |
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