Oscillatory rarefied gas flow inside rectangular cavities

Lei Wu, Jason Reese, Yonghao Zhang

Research output: Contribution to journalArticle

22 Citations (Scopus)

Abstract

Two-dimensional oscillatory lid-driven cavity flow of a rarefied gas at arbitrary oscillation frequency is investigated using the linearized Boltzmann equation. 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 oscillating frequency on the damping force exerted on the moving lid is studied. Surprisingly, it is found that, over a certain frequency range, the damping is smaller than that in an oscillatory Couette flow. This reduction in damping is due to the anti-resonance of the rarefied gas. A scaling law between the anti-resonant frequency and the aspect ratio is established, which would enable the control of the damping through choosing an appropriate cavity geometry.
LanguageEnglish
Pages350-367
Number of pages18
JournalJournal of Fluid Mechanics
Volume748
Early online date29 Apr 2014
DOIs
Publication statusPublished - 10 Jun 2014

Fingerprint

rarefied gases
gas flow
Flow of gases
Damping
damping
cavities
aspect ratio
Aspect ratio
Gases
cavity flow
rarefaction
oscillations
Boltzmann equation
Couette flow
Scaling laws
scaling laws
resonant frequencies
Natural frequencies
frequency ranges
Geometry

Keywords

  • micro-fluid dynamics
  • nano-fluid dynamics
  • rarefied gas flows

Cite this

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Oscillatory rarefied gas flow inside rectangular cavities. / Wu, Lei; Reese, Jason; Zhang, Yonghao.

In: Journal of Fluid Mechanics, Vol. 748, 10.06.2014, p. 350-367.

Research output: Contribution to journalArticle

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AU - Reese, Jason

AU - Zhang, Yonghao

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AB - Two-dimensional oscillatory lid-driven cavity flow of a rarefied gas at arbitrary oscillation frequency is investigated using the linearized Boltzmann equation. 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 oscillating frequency on the damping force exerted on the moving lid is studied. Surprisingly, it is found that, over a certain frequency range, the damping is smaller than that in an oscillatory Couette flow. This reduction in damping is due to the anti-resonance of the rarefied gas. A scaling law between the anti-resonant frequency and the aspect ratio is established, which would enable the control of the damping through choosing an appropriate cavity geometry.

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