Maximum intensity of rarefaction shock waves for dense gases

Journal of Fluid Mechanics

Volumn 642, Issue , 2010, Pages 127-146

  Guardone, Alberto ^a   Zamfirescu, Calin ^b   Colonna, Piero ^c  

^a POLITECNICO DI MILANO   (Italy)

^b UNIVERSITY OF ONTARIO INSTITUTE OF TECHNOLOGY   (Canada)

^c DELFT UNIVERSITY OF TECHNOLOGY   (Netherlands)

Author keywords

Gas dynamics; Shock waves

Indexed keywords

AERODYNAMICS; GAS DYNAMICS; MACH NUMBER; SHOCK WAVES; SILICON COMPOUNDS; THERMODYNAMIC PROPERTIES; VAN DER WAALS FORCES;

EXPERIMENTAL VERIFICATION; GAS-DYNAMIC PHENOMENON; MAXIMUM PRESSURE DROPS; MODERN THERMODYNAMICS; TECHNICAL APPLICATIONS; TEMPERATURE INTERVALS; THERMODYNAMIC STATE; VAN DER WAALS MODELS;

EQUATIONS OF STATE;

EQUATION OF STATE; GAS FLOW; PRESSURE DROP; SHOCK WAVE; THERMODYNAMICS;

EID: 76249120188     PISSN: 00221120     EISSN: 14697645     Source Type: Journal    
DOI: 10.1017/S0022112009991716     Document Type: Article

References (51)

1. Angelino, G. & Invernizzi, C. 1993 Cyclic methylsiloxanes as working fluids for space power cycles. Trans. ASME, J. Sol. Energy 115 (3), 130-137.
2. Bethe, H. A. 1942 The theory of shock waves for an arbitrary equation of state. Tech Rep. 545. Office of Scientific Research and Development.
3. Borisov, A. A., Borisov, A. A., Kutateladze, S. S. & Nakoryakov, V. E. 1983 Rarefaction shock waves near the critic liquid-vapour point. J. Fluid Mech. 126, 59-73.
4. Brown, B. P. & Argrow, B. M. 2000 Application of Bethe-Zel'dovich- Thompson fluids in organic rankine cycle engines. J. Propul. Power 16 (6), 1118-1124.
5. Calderazzi, L. & Colonna, P. 1997 Thermal stability of R-134a, R-141b, R-13I1, R-7146, R-125 associated with stainless steel as a containing material. Intl J. Refrig. 20 (6), 381-389.
6. Callen, H. B. 1985 Thermodynamics and an Introduction to Thermostatistics, 2nd edn. Wiley.
7. Colonna, P. 1996 Fluidi di lavoro multi componenti per cicli termodinamici di potenza [Multicomponent working fluids for power cycles]. PhD thesis, Politecnico di Milano, Milan, Italy.
8. Colonna, P. & Guardone, A. 2006 Molecular interpretation of nonclassical gasdynamics of dense vapours under the van der Waals model. Phys. Fluids 18 (5), 056101-1-056101-56114
9. Colonna, P., Guardone, A. & Nannan, R. 2007 Siloxanes: a new class of candidate Bethe-Zel'dovich-Thompson fluids. Phys. Fluids 19 (8), 086102-1-086102-86112
10. Colonna, P., Guardone, A., Nannan, R. & van der Stelt, T. P. 2009 On the computation of the fundamental derivative of gasdynamics Γ using equations of state. Fluid Phase Equilib. In Press, Available on line 30 July 2009, doi:10.1016/j.fluid.2009.07.021.
11. Colonna, P., Guardone, A., Nannan, R. & Zamfirescu, C. 2008a Design of the dense gas flexible asymmetric shock tube. J. Fluids Engng 130, 034501-1-034501-34506
12. Colonna, P., Nannan, R. & Guardone, A. 2008b Multiparameter equations of state for siloxanes: [(CH3)3-Si-O1/2]2-[O-Si-(CH3)2]i = 1,..,3 and [O-Si-(CH3)2]6. Fluid Phase Equilib. 263, 115-130.
13. Colonna, P., Nannan, R., Guardone, A. & Lemmon, E. W. 2006 Multi-parameter equations of state for selected siloxanes. Fluid Phase Equilib. 244, 193-211.
14. Colonna, P. & Silva, P. 2003 Dense gas thermodynamic properties of single and multicomponent fluids for fluid dynamics simulations. ASME J. Fluids Engng 125, 414-427.
15. Cramer, M. S. 1989 Negative nonlinearity in selected fluorocarbons. Phys. Fluids 1 (11), 1894-1897.
16. Cramer, M. S. 1991 Nonclassical dynamics of classical gases. In Nonlinear Waves in Real Fluids (ed. A. Kluwick), pp. 91-145.
17. Springer. Cramer, M. S. & Park, S. 1999 On the suppression of shock-induced separation in Bethe-Zel'dovich-Thompson fluids. J. Fluid Mech. 393, 1-21.
18. Cramer, M. S. & Sen, R. 1986 Shock formation in fluids having embedded regions of negative nonlinearity. Phys. Fluids 29, 2181-2191.
19. Cramer, M. S. & Sen, R. 1990 Mixed nonlinearity and double shocks in superfluid helium. J. Fluid Mech. 221, 233-261.
20. Fergason, S. H., Guardone, A. & Argrow, B. M. 2003 Construction and validation of a dense gas shock tube. J. Thermophys. Heat Transfer 17 (3), 326-333.
21. Fergason, S. H., Ho, T. L., Argrow, B. M. & Emanuel, G. 2001 Theory for producing a single-phase rarefaction shock wave in a shock tube. J. Fluid Mech. 445, 37-54.
22. Guardone, A. 2007 Three-dimensional shock tube flows of dense gases. J. Fluid Mech. 583, 423-442.
23. Guardone, A. & Argrow, B. M. 2005 Nonclassical gasdynamic region of selected fluorocarbons. Phys. Fluids 17 (11), 116102-1-17.
24. Hayes, W. 1960 The basic theory of gasdynamic discontinuities. In Fundamentals of Gasdynamics: High Speed Aerodynamics and Jet Propulsion (ed. H. W. Emmons), vol.3, pp. 416-481. Princeton University Press.
25. Ivanov, A. G. & Novikov, S. A. 1961 Rarefaction shock waves in iron and steel. Zh. Eksp. Teoret. Fiz. 40 (6), 1880-1882.
26. Kluwick, A. 2001 Theory of shock waves. Rarefaction shocks. In Handbook of Shockwaves (ed. G. Ben-Dor, O. Igra, T Elperin & A. Lifshitz), vol.1, chapter 3.4, pp. 339-411.
27. Academic. Kutateladze, S. S., Nakoryakov, V. E. & Borisov, A. A. 1987 Rarefaction waves in liquid and gas-liquid media. Annu. Rev. Fluid Mech. 19, 577-600.
28. Lambrakis, K. C. & Thompson, P. A. 1972 Existence of real fluids with a negative fundamental derivative. Phys. Fluids 15 (5), 933-935.
29. Lax, P. D. 1957 Hyperbolic systems of conservation laws. Part II. Comm. Pure Appl. Math. 10, 537-566. doi:10.1002/cpa.3160100406
30. Liu, T. P. 1975 The Riemann problem for general systems of conservation laws. J. Diff. Equations 18, 218-234.
31. Martin, J. J. & Hou, Y. 1955 Development of an equation of state for gases. AIChE J. 1 (2), 142-151.
32. Martin, J. J., Kapoor, R. M. & De Nevers, N. 1958 An improved equation of state. AIChE J. 5 (2), 159-160.
33. Menikoff, R. & Plohr, B. J. 1989 The Riemann problem for fluid flow of real material. Rev. Mod. Phys. 61 (1), 75-130.
34. Nannan, R., Colonna, P., Tracy, C. M., Rowley, R. L. & Hurly, J. J. 2007 Ideal-gas heat capacities of dimethylsiloxanes from speed-of-sound measurements and ab initio calculations. Fluid Phase Equilib. 257 (1), 102-113.
35. Nannan, R. N. 2009 Advancements in nonclassical gasdynamics. PhD thesis, Delft University of Technology, Delft, The Netherlands.
36. Oleinik, O. 1959 Uniqueness and stability of the generalized solution of the Cauchy problem for a quasilinear equation. Uspehi Mat. Nauk. 14, 165-170.
37. Smoller, J. 1983 Shock Waves and Reaction-Diffusion Equations. Springer.
38. Span, R. & Wagner, W. 2003a Equations of state for technical applications. Part I. Simultaneously optimized functional forms for nonpolar and polar fluids. Intl J. Thermophys. 24 (1), 1-39.
39. Span, R. & Wagner, W. 2003b Equations of state for technical applications. Part II. Results for nonpolar fluids. Intl J. Thermophys. 24 (1), 41-109.
40. Stewart, R. B., Jacobsen, R. T. & Penocello, S. G. 1969 ASHRAE Thermodynamic Properties of Refrigerants. ASHRAE.
41. Stryjek, R. & Vera, J. H. 1986 PRSV: an improved Peng-Robinson equation of state for pure compounds and mixtures. Can. J. Chem. Engng 64, 323-333.
42. Thompson, P. A. 1971 A fundamental derivative in gasdynamics. Phys. Fluids 14 (9), 1843-1849.
43. Thompson, P. A. 1988 Compressilbe Fluid Dynamics. McGraw-Hill.
44. Thompson, P. A. 1991 Liquid-vapour adiabatic phase changes and related phenomena. In Nonlinear Waves in Real Fluids (ed. A. Kluwick), pp. 147-213. Springer.
45. Thompson, P. A., Carofano, G. A. & Kim, Y. 1986 Shock waves and phase changes in a large heat capacity fluid emerging from a tube. J. Fluid Mech. 166, 57-96.
46. Thompson, P. A., Chaves, H., Meier, G. E. A., Kim, Y. G. & Speckmann, H. D. 1987 Wave splitting in a fluid of large heat capacity. J. Fluid Mech. 185, 385-414.
47. Thompson, P. A. & Lambrakis, K. C. 1973 Negative shock waves. J. Fluid Mech. 60, 187-208.
48. van der Waals, J. D. 1873 Over de continüiteit van den gas-en vloeistoftoestand [On the continuity of the gas and liquid state]. PhD thesis, Leiden University, Leiden, The Netherlands.
49. Weyl, H. 1949 Shock waves in arbitrary fluids. Comm. Pure Appl. Math. 2, 102-122.
50. Zamfirescu, C., Guardone, A. & Colonna, P. 2008 Admissibility region for rarefaction shock waves in dense gases. J. Fluid Mech. 599, 363-381.
51. Zel'dovich, Y. B. 1946 On the possibility of rarefaction shock waves. Zh. Eksp. Teoret. Fiz. 4, 363-364.