Nonplanar oscillatory shear flow: From the continuum to the free-molecular regime

Emerson, David R.; Gu, Xiaojun; Stefanov, Stefan; Sun, Yu; Barber, Robert W.

doi:10.1063/1.2799203

Cited by 53 publications

(31 citation statements)

References 40 publications

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“…In the past decade, oscillatory gas flows have been extensively studied [11][12][13][14][15][16][17][18][19][20], most of which, however, are for flows between two parallel plates. While the viscous damping is dominate at low oscillation frequencies, at relatively high oscillation frequencies, inertial force leads to the interference of sound waves along the oscillating direction of the plate, so that the magnitude of the damping force on the oscillating plate oscillates when the oscillation frequency varies [18].…”

Section: Introductionmentioning

confidence: 99%

Sound propagation through a rarefied gas in rectangular channels

2016

Phys. Rev. E

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This version is available at https://strathprints.strath.ac.uk/58309/ Strathprints is designed to allow users to access the research output of the University of Strathclyde. Unless otherwise explicitly stated on the manuscript, Copyright © and Moral Rights for the papers on this site are retained by the individual authors and/or other copyright owners. Please check the manuscript for details of any other licences that may have been applied. You may not engage in further distribution of the material for any profitmaking activities or any commercial gain. You may freely distribute both the url (https://strathprints.strath.ac.uk/) and the content of this paper for research or private study, educational, or not-for-profit purposes without prior permission or charge.Any correspondence concerning this service should be sent to the Strathprints administrator: strathprints@strath.ac.ukThe Strathprints institutional repository (https://strathprints.strath.ac.uk) is a digital archive of University of Strathclyde research outputs. It has been developed to disseminate open access research outputs, expose data about those outputs, and enable the management and persistent access to Strathclyde's intellectual output.Sound propagation through a rarefied gas in rectangular channels A sound propagation through a rarefied gas inside a two-dimensional cavity is investigated on the basis of the linearized Boltzmann equation, where one of the cavity wall oscillates harmonically in the normal direction to its own surface and is considered as a sound source. An analytical solution at high oscillation frequencies is obtained, and detailed numerical results for a wide range of gas rarefaction are presented. The influence of both the aspect ratio of the cavity and the oscillation frequency on the average gas pressure exerted on the oscillating plate is studied. It is found that, at large values of the aspect ratio, the average pressure oscillates when the sound frequency varies, due to the sound resonance and anti-resonance along the oscillation direction of the plate. However, at small values of the aspect ratio, the average pressure is a monotonically decreasing function of the sound frequency, which cannot be observed in the corresponding one-dimensional counterpart. This is explained by the sound interference in the direction parallel to the oscillating plate. The influence of both the cavity aspect ratio and oscillation frequency on the sound speed is also investigated: again it is found that different aspect ratio leads to the different behavior of the sound speed as a function of the oscillation frequency.

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Section: Introductionmentioning

confidence: 99%

Sound propagation through a rarefied gas in rectangular channels

2016

Phys. Rev. E

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“…Emerson et al [8] also applied this boundary condition to the oscillatory Couette flow and observed a velocity inversion too. The EPL and LREB formulations are both based on Maxwell's slip boundary condition.…”

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confidence: 93%

Velocity inversion of micro cylindrical Couette flow: A lattice Boltzmann study

Guo

Shi

Chen

2011

Computers & Mathematics with Applications

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a b s t r a c tIn this work the micro gas flow between two concentric cylinders is investigated by a lattice Boltzmann equation (LBE) model with multiple relaxation times. A local kinetic boundary condition is proposed for the LBE to model the gas-wall interaction. Numerical simulations are conducted to examine the tangential velocity distribution under different flow conditions. It is shown that the proposed LBE can capture the velocity inversion phenomenon successfully. Comparisons with the Navier-Stokes solutions and DSMC results are also made and it is shown that the LBE yields better predictions.

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“…Even though numerical techniques of deterministic and statistical nature have been developed in the transition regime (see e.g. [14][15][16][17][18][19][20][21][22][23][24][25][26][27][28][29][30][31][32][33]), their application to realistic 3D low-speed MEMS is still under investigation [34,35]. On the contrary, the collisionless or free-molecule flow lends itself to the development of simpler numerical models.…”

Section: Introductionmentioning

confidence: 99%