Positivity of entropy production and phase density in the chapman–enskog expansion

Journal of Thermophysics and Heat Transfer

Volumn 15, Issue 3, 2001, Pages 372-373

  Struchtrup, Henning ^a,b  

^a ARIZONA STATE UNIVERSITY   (United States)

^b UNIVERSITY OF VICTORIA   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 85008282590     PISSN: 08878722     EISSN: None     Source Type: Journal    
DOI: 10.2514/2.6618     Document Type: Article

References (8)

1. Comeaux, K. A., Chapman, D. R., and MacCormack, R.W., “An Analysis of the Burnett EquationsBased on theSecond Law of Thermodynamics,” AIAA Paper 95-0415, 1995.
2. Cercignani, C., Theory andApplicationof the BoltzmannEquation, Scottish Academic Press, Edinburgh, 1975, pp. 40, 232.
3. Chapman, S., and Cowling, T. G., The Mathematical Theory of Non-Uniform Gases, Cambridge Univ. Press, Cambridge, England, U.K., 1970, pp. 46, 107.
4. Grad, H., “On the Kinetic Theory of RareŽ ed Gases,” Communications on Pure and Applied Mathematics, Vol. 2, Wiley, New York, 1949, p. 231.
5. Müller, I., and Ruggeri, T., Rational Extended Thermodynamics (Springer Tracts in Natural Philosophy, Vol. 37), 2nd ed., Springer-Verlag, New York, 1998, p. 19.
6. Bobylev, A. V., “The Chapman–Enskog and Grad Methods for Solving the Boltzmann Equation,” Soviet Physics Doklady, Vol. 27, No. 1, 1998, pp. 29–31.
7. Liboff, R. L., The Theory of Kinetic Equations, Wiley, New York, 1969, p. 263.
8. Levermore, C. D., Morokoff, W. J., and Nadiga, B. T., “Moment Realizability and the Validity of the Navier–Stokes Equations for RareŽ ed Gas Dynamics,” Physics of Fluids, Vol. 10, No. 12, 1998, pp. 3214–3226.