Thermodynamics of Mixtures (I). Ideal Gases

혼합물의 열역학 (제1보). 이상기체

  • C. K. Yun (Department of Mathematics, University of Strathclyde)
  • 윤창구 (영국 스트라트클라이드대학교 수학과)
  • Published : 1973.10.30

Abstract

We study a mixture of ideal gases by use of recently developed methods in continuum thermodynamics of irreversible processes. A complete form of the free energy function and the gas law for each component are derived directly from an entropy production inequality by assuming that: (1) Constitutive functions depend on the mass densities, the diffusion velocities, the temperature and its gradient only. (2) Phenomenological coefficients appearing in an extra entropy flux are material constants. (3) The internal energy density per unit mass is independent of the total mass density (Joule).

이상기체 혼합물을 연속체의 물질역학과 비가역 변화의 열역학에서 개발된 방법으로 연구하였다. 자유 에너지의 함수 형태와 각개 성분의 기체법칙을 엔트로피 부등식으로부터 직접 유도하고 혼합물의 변형, 열 전도, 확산 및 화학반응이 받는 제약을 명시함으로서 앞으로 이 방법을 다른 물질들에 응용하는 데에 도움이 되도록 하였다.

Keywords

References

  1. Handbuch der Physik III/1 C. Truesdell;R.A. Toupin
  2. Handbuch der Physik III/3 C. Truesdell;W. Noll
  3. J. Chem. Phys. v.37 C. Truesdell
  4. Phys. Rev. v.58 C. Eckart
  5. Arch. Rational Mech. Anal. v.13 B.D. Coleman;W. Noll
  6. Six Lectures on Modern Natural Philosophy C. Truesdell
  7. Rational Thermodynamics: A Course of Lectures on Selected Topics C. Truesdell
  8. Arch. Rational Mech. Anal. v.28 I. Muller
  9. Arch. Rational Mech. Anal. v.26 I. Muller
  10. Arch. Rational Mech. Anal. v.36 C.-C. Wang
  11. Arch. Rational Mech. Anal. v.43 C.-C. Wang
  12. Arch. Ratio, nal Mech. Anal. v.46 M. Feinberg