On the construction of entropy balance equations for arbitrary thermophysical processes

39th Aerospace Sciences Meeting and Exhibit

Volumn , Issue , 2001, Pages

  Camberos, José A ^a  

^a AIR FORCE RESEARCH LABORATORY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

AEROSPACE ENGINEERING;

COMPUTATIONAL PHYSICS; CONCAVE FUNCTION; ENTROPY BALANCE; MODERN APPLICATIONS; NON NEGATIVES; SECOND LAW; SECOND LAW OF THERMODYNAMICS; THERMOPHYSICAL PROCESS;

ENTROPY;

EID: 85086612670     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.2514/6.2001-815     Document Type: Conference Paper

References (21)

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2. J. A. Camberos Non-Linear Time-Step Constraints Based on the Second Law of Thermodynamics. AIAA Journal of Thermophysics and Heat Transfer Vol. 14, No. 3, 231-244 (July-Sept. 2000).
3. J. A. Camberos An Alternative Interpretation of Work Potential in Thermophysical Processes. AIAA Journal of Thermophysics and Heat Transfer Vol. 14, No. 2, 177-185 (April-June 2000).
4. K. A. Comeaux (1995), An Evaluation of the Second Order Constitutive Relations for Rarefied Gas Dynamics Based on the Second Law of Thermodynamics, Ph. D. Dissertation, Department of Aeronautics & Astronautics, Stanford University. Published as SUDAAR No. 665.
5. I. Muller, Thermodynamics, Pitman Publishing, Inc., 1985.
6. I. Muller & T. Ruggeri, Rational Extended Thermodynamics Springer-Verlag, 1998.
7. G. A. Bird. Molecular Gas Dynamics. New York, NY: Oxford University Press, 1976.
8. S. Chapman and T. G. Cowling. The Mathematical Theory of Non-Uniform Gases. Cambridge, U.K.: Cambridge University Press, 1990 (reprint).
9. J. A. Camberos (1995), Probabilistic Approach to the Computational Simulation of Gasdynamic Processes, Ph. D. Dissertation, Department of Aeronautics &; Astronautics, Stanford University. Published as SUDAAR No. 668.
10. M. L. Merriam (1989), An Entropy-Based Approach to Nonlinear Stability, Ph. D. Dissertation, Department of Mechanical Engineering, Stanford University. Also available as NASA TM-101086.
11. R. D. Levine and M. Tribus, (1979) The Maximum Entropy Formalism, MIT Press, Cambridge, Mass., pp. 5-8.
12. E. T. Jaynes (1991), Probability Theory as Logic, in Maximum-Entropy and Bayesian Methods, P. F. Fougere (ed.), Kluwer Academic Publishers, Dordrecht, Holland, pp. 1-16.
13. J. N. Kapur and H. K. Kesavan, (1992) Entropy Optimization Principles with Applications, Academic Press, San Diego, CA.
14. J. A. Camberos The Production of Entropy in Relation to Numerical Error in Compressible Viscous Flow. AIAA Paper No. 2000-2333 (unpublished), AIAA Fluid 2000 Symposium, Denver, CO (June 2000).
15. B. H. Lavenda. Statistical Physics: A Probabilistic Approach. New York, NY: John Wiley and Sons, Inc., 1991.
16. E. T. Jaynes (1980), The Minimum Entropy Production Principle, Annual Review of Physics & Chemistry Vol. 31: 579-601 (1980).
17. I-Shih Liu, Method of Lagrange Multipliers for Exploitation of the Entropy Principle. Archive for Rational Mechanics & Analysis Vol. 46, No. 2, 131-148 (1972).
18. I. Muller On the Entropy Inequality. Archive for Rational Mechanics & Analysis Vol. 26, No. 2, 118-141 (1967).
19. J. A. Camberos Comparison of Selected Probability Distribution Functions for Gasdynamic Simulations Inspired by Kinetic Theory. AIAA Paper No. 97-0340 (unpublished), 35th Aerospace Sciences Meeting, Reno, NV (January 1997).
20. J. A. Camberos Comparison of Split Fluxes Generated with Selected Probability Distributions Functions. AIAA Paper No. 97-2095 (unpublished), 13th Computational Fluid Dynamics Conference, Snowmass Village, Co (June 1997).
21. J. A. Camberos Comparison of Concave Entropy Functions Generated from Selected Probability Distributions. AIAA Paper No. 98-2818 (unpublished), 29th AIAA Fluid Dynamics Conference, Albuquerque, NM (June 1998).