A New Method for the Consistent Analysis of One-Dimensional Stationary Heat Conduction in a Rarefied Gas at Rest

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  • Sugiyama Masaru
    Graduate School of Engineering, Nagoya Institute of Technology
  • Zhao Nanrong
    Graduate School of Engineering, Nagoya Institute of Technology Department of Physics, Sichuan University Department of Physics, Southwest Normal University

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  • New Method for the Consistent Analysis of One Dimensional Stationary Heat Conduction in a Rarefied Gas at Rest

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A new method of analyzing nonequilibrium phenomena in a rarefied gas is explored through studying one-dimensional stationary heat conduction in a gas at rest by the third-order theory of consistent-order extended thermodynamics. We propose a consistent series solution for the moment equations and an order expansion for the uncontrollable value. The temperature solutions and the optimum uncontrollable data agree quantitatively with the numerical calculations. Temperature jumps and entropy production at the boundaries are also explicitly calculated as illustrations.

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