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Abstract
The nonlinear oscillation of rarefied gas flow inside a twodimensional rectangular cavity is investigated on the basis of the Shakhov kinetic equation. The gas dynamics, heat transfer, and damping force are studied numerically via the discrete unified gaskinetic scheme for a wide range of parameters, including gas rarefaction, cavity aspect ratio, and oscillation frequency. Contrary to the linear oscillation where the velocity, temperature, and heat flux are symmetrical and oscillate with the same frequency as the oscillating lid, flow properties in nonlinear oscillatory cases turn out to be asymmetrical, and secondharmonic oscillation of the temperature field is observed. As a consequence, the amplitude of the shear stress near the topright corner of the cavity could be several times larger than that at the lefttop corner, while the temperature at the topright corner could be significantly higher than the wall temperature nearly in the whole oscillation period. For the linear oscillation with the frequency over a critical value, and for the nonlinear oscillation, the heat transfer from the hot to cold region dominates inside the cavity, which is contrary to the antiFourier heat transfer in a lowspeed rarefied liddriven cavity flow. The damping force exerted on the oscillating lid is studied in detail, and the scaling laws are developed to describe the dependency of the resonance and antiresonance frequencies (corresponding to the damping force at a local maximum and minimum, respectively) on the reciprocal aspect ratio from the near hydrodynamic to highly rarefied regimes. These findings could be useful in design of the microelectromechanical devices operating in the nonlinear flow regime.
Original language  English 

Number of pages  12 
Journal  Physical Review E 
Volume  97 
Issue number  4 
Early online date  5 Apr 2018 
DOIs  
Publication status  Epub ahead of print  5 Apr 2018 
Keywords
 rarefied gas flow
 nonlinear oscillation
 Shakhov kinetic equation
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Dive into the research topics of 'Nonlinear oscillatory rarefied gas flow inside a rectangular cavity'. Together they form a unique fingerprint.Projects
 2 Finished

PoreScale Study of Gas Flows in Ultratight Porous Media
Zhang, Y. & Scanlon, T.
EPSRC (Engineering and Physical Sciences Research Council)
1/09/15 → 30/09/19
Project: Research

UK Consortium on Mesoscale Engineering Sciences (UKCOMES)
Zhang, Y.
EPSRC (Engineering and Physical Sciences Research Council)
1/06/13 → 31/05/18
Project: Research