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Slip boundary conditions for the compressible Navier-Stokes equations for a polyatomic gas

Masanari Hattori1, Shingo Kosuge2, and Kazuo Aoki3,4

  • 1Department of Aeronautics and Astronautics, Graduate School of Engineering, Kyoto University, Kyoto 615-8540, Japan
  • 2Institute for Liberal Arts and Sciences, Kyoto University, Kyoto 606-8501, Japan
  • 3Department of Mathematics, National Cheng Kung University, Tainan 70101, Taiwan
  • 4Mathematics Division, National Center for Theoretical Sciences, National Taiwan University, Taipei 10617, Taiwan

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Phys. Rev. Fluids 3, 063401 – Published 27 June, 2018

DOI: https://doi.org/10.1103/PhysRevFluids.3.063401

Abstract

The slip boundary conditions for the compressible Navier-Stokes equations for a polyatomic gas are derived from kinetic theory using the ellipsoidal statistical model of the Boltzmann equation for a polyatomic gas. The analysis, which follows the previous work by the present authors and others for a monatomic gas [Aoki et al., J. Stat. Phys. 169, 744 (2017)], is based on the Chapman-Enskog expansion and the analysis of the Knudsen layer adjacent to the boundary. The resulting slip boundary conditions are presented with explicit slip coefficients for some typical polyatomic gases.

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Phys. Rev. Fluids 3, 063401– Published 27 June, 2018
  • Received 16 April 2018
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