Nonlinear oscillatory rarefied gas flow inside a rectangular cavity

Physical Review. E
Peng WangYonghao Zhang

Abstract

The nonlinear oscillation of rarefied gas flow inside a two-dimensional 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 gas-kinetic 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 second-harmonic oscillation of the temperature field is observed. As a consequence, the amplitude of the shear stress near the top-right corner of the cavity could be several times larger than that at the top-left corner, while the temperature at the top-right corner could be significantly higher than the wall temperature in nearly 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 anti-Fourier heat transfer in a low-speed rarefied lid-drive...Continue Reading

References

Aug 21, 2002·The Journal of the Acoustical Society of America·F SharipovG M Kremer
Dec 10, 2008·The Journal of the Acoustical Society of America·Felix Sharipov, Denize Kalempa
Oct 16, 2013·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Zhaoli GuoRuijie Wang
Apr 15, 2015·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Zhaoli GuoKun Xu

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Citations

Apr 18, 2021·Physical Review. E·Alexandros TsimpoukisDimitris Valougeorgis

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