Assessment of thermodynamic models for dense gas dynamics

Physics of Fluids

Volumn 16, Issue 11, 2004, Pages 3878-3887

  Guardone, A ^a   Vigevano, L ^a   Argrow, B M ^b  

^a POLITECNICO DI MILANO   (Italy)

^b University of Colorado at Boulder   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

MATHEMATICAL MODELS; NUMERICAL ANALYSIS; THERMODYNAMICS;

DENSE GASES; THERMODYNAMIC MODELS; WAVEFIELDS;

GAS DYNAMICS;

PHYSICS;

EID: 8844265402     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.1786791     Document Type: Article

References (35)

1. H. A. Bethe, "The theory of shock waves for an arbitrary equation of state," Office Sci. Res. & Dev., Washington, Rep. No. 545.
2. P. A. Thompson, "A fundamental derivative in gas dynamics," Phys. Fluids 14, 1843 (1971).
3. Y. B. Zel'dovich, "On the possibility of rarefaction shock waves," Zh. Eksp. Teor. Fiz. 4, 363 (1946).
4. P. Duhem, "Sur la propagation des ondes de choc au sein des fluides," Z. Phys. Chem. (Leipzig) 69, 169 (1909).
5. R. Menikoff and B. J. Plohr, "The Riemann problem for fluid flow of real material," Rev. Mod. Phys. 61, 75 (1989).
6. B. M. Argrow, "Computational analysis of dense gas shock tube flow," Shock Waves 6, 241 (1996).
7. H. B. Callen, Thermodynamics and an Introduction to Thermostatistics, 2nd ed. (Wiley, New York, 1985).
8. G. D. Kahl and D. C. Mylin, "Rarefaction shock possibility in a van der Waals-Maxwell fluid," Phys. Fluids 12, 2283 (1969).
9. S. H. Fergason, "Dense gas shock tube: Design and analysis," Ph.D. thesis, University of Colorado, Boulder, 2001.
10. S. H. Fergason, T. L. Ho, B. M. Argrow, and G. Emanuel, "Theory for producing a single-phase rarefaction shock wave in a shock tube," J. Fluid Mech. 445, 37 (2001).
11. S. H. Fergason, A. Guardone, and B. M. Argrow, "Construction and validation of a dense gas shock tube," J. Thermophys. Heat Transfer 17, 326 (2003).
12. P. Colonna and P. Silva, "Dense gas thermodynamic properties of single and multicomponent fluids for fluid dynamics simulations," ASME J. Fluids Eng. 125, 414 (2003).
13. K. C. Lambrakis and P. A. Thompson, "Existence of real fluids with a negative fundamental derivative," Phys. Fluids 15, 933 (1972).
14. P. A. Thompson and K. C. Lambrakis, "Negative shock waves," J. Fluid Mech. 60, 187 (1973).
15. M. S. Cramer, "Negative nonlinearity in selected fluorocarbons," Phys. Fluids A 1, 1894 (1989).
16. M. S. Cramer, "Nonclassical dynamics of classical gases," in Nonlinear Waves in Real Fluids, edited by A. Kluwick (Springer, New York, 1991), pp. 91-145.
17. J. J. Martin and Y. Hou, "Development of an equation of state for gases," AIChE J. 1, 142 (1955).
18. J. J. Martin, R. M. Kapoor, and N. De Nevers, "An improved equation of state," AIChE J. 5, 159 (1958).
19. G. Emanuel, "Assessment of the Martin-Hou equation for modeling a nonclassical fluid," J. Fluids Eng. 116, 883 (1994).
20. M. S. Cramer and S. Park, "On the suppression of shock-induced separation in Bethe-Zel'dovich-Thompson fluids," J. Fluid Mech. 393, 1 (1999).
21. B. P. Brown and B. M. Argrow, "Application of Bethe-Zel'dovichThompson fluids in organic Rankine cycle engines," J. Propul. Power 16, 1118 (2000).
22. A. Guardone, "Nonclassical gasdynamics: Thermodynamic modeling and numerical simulation of multidimensional flows of BZT fluids," Ph.D. thesis, Politecnico di Milano, Italy, 2001.
23. G. Soave, "Equilibrium constants from a modified Redlich-Kwong equation of state," Chem. Eng. Sci. 27, 1197 (1972).
24. D. Y. Peng and D. B. Robinson, "A new two-constant equation of state," Ind. Eng. Chem. Fundam. 15, 59 (1976).
25. J. J. Martin, "Equations of state," Ind. Eng. Chem. 59 34 (1967).
26. R. B. Stewart, R. T. Jacobsen, and S. G. Penocello, ASHRAE Thermodynamic Properties of Refrigerants (ASHRAE, New York, 1969).
27. G. Emanuel, Advanced Classical Thermodynamics, AIAA Education Series (AIAA, Washington, 1987).
28. 3M Chemicals, 3M Fluorinert Liquids, 1997.
29. v, vapor pressure, and (p, ρ, T) measurements from 92 to 350 K at pressures to 35 MPa and a new equation of state for chlorotrifluoromethane (R13)," Int. J. Thermophys. 21, 1097 (2000).
30. J. Hurly, D. Defibaugh, and M. Moldove, "Thermodynamic properties of sulfur hexafluoride," Int. J. Thermophys. 21, 739 (2000).
31. M. Grigiante, G. Scalabrin, G. Benedetto, R. Gavioso, and R. Spagno, "Vapor phase acoustic measurements for R125 and development of a Helmholtz free energy equation," Fluid Phase Equilib. 174, 69 (2000).
32. D. N. Rihani and L. K. Doraiswamy, "Estimation of heat capacity of organic compounds from group contributions," Ind. Eng. Chem. Fundam. 4, 17 (1965).
33. S. H. Fergason and B. M. Argrow, "Simulations of nonclassical dense gas dynamics, No. 2001-2752," 35th AIAA Thermophysics Conference, June 2001.
34. A. Guardone and L. Vigevano, "Roe linearization for the van der Waals gas," J. Comput. Phys. 175, 50 (2002).
35. A. A. Borisov, A. A. Borisov, S. S. Kutateladze, and V. E. Nakaryakov, "Rarefaction shock waves near the critic liquid-vapour point," J. Fluid Mech. 126, 59 (1993).