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Numerical study of shock/vortex interaction in diatomic gas flows

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Abstract

The particle-based direct simulation of Monte Carlo(DSMC) was present and validated for the investigation of non-equilibrium effects in diatomic gas flows. All the validations show that the results of the present DSMC is in agreement with the experimental data. Then, the numerical studies of micro scale shock/composite-vortex interactions in diatomic gas flows were conducted. The substantial attenuation of enstrophy in diatomic gas flow is observed. Differ from the sharp decreasing in diatomic gas, the time evolution of enstrophy in monatomic gas flow decrease linearly in the whole process. This study also shows that the vortex deformation through a shock, in particular, is observed to be strongly dependent on the shock and vortex strengths. Also, it is also found that strong interaction can also cause vorticity production in microscale shock/vortex interaction for diatomic gas flow. The attenuation, analogous to DSMC results, overwhelms the vorticity generation only in a limited set of regimes with low shock Mach number, small vortex size, or weak vortex. Besides, in diatomic gas flow, viscous vorticity generation is also most dominant in the three dynamical processes of vorticity transportation, followed by dilatational and baroclinicvorticity generation. The present study conform that shock/vortex present different features in strong and weak interactions for monatomic and diatomic gas flows. Furthermore, it provides a new way for the investigation of non-equilibrium effects.

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Abbreviations

c :

Sound speed

dt :

Time step

M av :

Vortex Mach number

M as :

Shock Mach number

n :

The number of molecules in each cell

p :

Pressure

P ij :

Pressure tensor

r :

Vortex radius

r 1 :

Vortex core radius

r 2 :

Vortex outer radius

U c :

Maximum tangential velocity

u :

Molecule velocity

u':

Molecule thermal velocity

V θ :

Vortex tangential velocity

η :

The second viscosity coefficient

ρ :

Density

λ :

Mean free path

Πij :

Stress tensor

δ ij :

Kronecker tensor

μ :

Viscosity coefficient

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Authors and Affiliations

  1. School of Power and Energy, Northwestern Polytechnical University, Xian, 710-072, China

    Hong Xiao & Ke Tang

  2. School of Mechanical & Aerospace Engineering, ReCAPT, Gyeongsang National University, 501, Jinju-daero, Jinju-si, Gyeongsangnam-do, 52828, South Korea

    Zhe-Zhu Xu & Sung-Ki Lyu

  3. Department of Chemical and Materials Engineering, University of Alberta, Edmonton, Alberta, T6G-2G6, Canada

    Dong-yang Li

Authors
  1. Hong Xiao
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  2. Ke Tang
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  3. Zhe-Zhu Xu
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Correspondence to Sung-Ki Lyu.

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Xiao, H., Tang, K., Xu, ZZ. et al. Numerical study of shock/vortex interaction in diatomic gas flows. Int. J. Precis. Eng. Manuf. 17, 27–34 (2016). https://doi.org/10.1007/s12541-016-0004-1

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  • DOI: https://doi.org/10.1007/s12541-016-0004-1

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