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Multiple translational temperature model and its shock structure solution.

Kun Xu1, Eswar Josyula

  • 1Department of Mathematics, The Hong Kong University of Science and Technology, Kowloon, Hong Kong. makxu@ust.hk

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|August 11, 2005
PubMed
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A new gas-kinetic model accurately predicts translational nonequilibrium in shock waves. This model captures distinct gas temperatures parallel and perpendicular to the shock front, improving shock structure calculations.

Area of Science:

  • * Fluid Dynamics
  • * Kinetic Theory
  • * Statistical Mechanics

Background:

  • * Shock waves exhibit complex internal structures.
  • * Translational nonequilibrium, where gas particle motion differs along various directions, is a key feature.
  • * Existing models struggle to accurately capture this phenomenon.

Purpose of the Study:

  • * To propose a generalized gas-kinetic Bhatnagar-Gross-Krook (BGK) model.
  • * To accurately predict translational nonequilibrium within shock layers.
  • * To improve the calculation of shock structure in monatomic gases.

Main Methods:

  • * Developed a generalized gas-kinetic BGK model.
  • * Utilized a continuum gas distribution function truncated to the Navier-Stokes order.

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  • * Incorporated a generalized particle collision time.

    • Main Results:

    • * The proposed model successfully captures the shock structure.
    • * Two distinct translational temperatures within the shock layer are accurately predicted.
    • * Demonstrates the model's capability in handling translational nonequilibrium.

    Conclusions:

    • * The generalized gas-kinetic BGK model provides an effective approach for shock wave analysis.
    • * The model accurately represents the anisotropic translational motion of gas particles.
    • * Offers a valuable tool for studying nonequilibrium phenomena in rarefied gas dynamics.