Kinetic theory study of steady condensation of a polyatomic gas

Physics of Fluids

Volumn 18, Issue 2, 2006, Pages

  Frezzotti, Aldo ^a   Ytrehus, Tor ^b  

^a POLITECNICO DI MILANO   (Italy)

^b NORWEGIAN UNIVERSITY OF SCIENCE AND TECHNOLOGY   (Norway)

Author keywords

Boltzmann equation; Condensation; Finite difference methods; Flow instability; Kinetic theory; Mach number; Rarefied fluid dynamics; Subsonic flow; Supersonic flow; Two phase flow

Indexed keywords

BOUNDARY CONDITIONS; CONDENSATION; FINITE DIFFERENCE METHOD; KINETIC THEORY OF GASES; MATHEMATICAL MODELS; STEADY FLOW; SUBSONIC FLOW; SUPERSONIC FLOW; TWO PHASE FLOW;

BOLTZMANN EQUATION; FLOW INSTABILITY; MACH NUMBER; RAREFIED FLUID DYNAMICS;

COMPUTATIONAL FLUID DYNAMICS;

BOUNDARY CONDITIONS; COMPUTATIONAL FLUID DYNAMICS; CONDENSATION; FINITE DIFFERENCE METHOD; KINETIC THEORY OF GASES; MATHEMATICAL MODELS; STEADY FLOW; SUBSONIC FLOW; SUPERSONIC FLOW; TWO PHASE FLOW;

EID: 33644609303     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.2171231     Document Type: Article

References (30)

1. C. Cercignani, The Boltzmann Equation and Its Applications (Springer-Verlag, Berlin, 1988).
2. Y. Sone, "Kinetic theoretical studies of the half-space problem of evaporation and condensation," Transp. Theory Stat. Phys. TTSPB40041-1450 29, 227 (2000).
3. C. Cercignani, "Strong evaporation of a polyatomic gas," in Rarefied Gas Dynamics, edited by S. S. Fisher, Prog. Astronaut. Aeronaut. Vol. 74, Part I (AIAA, New York, 1981), pp. 305-320.
4. T. Soga, "A kinetic theory analysis of evaporation and condensation of a diatomic gas," Phys. Fluids PFLDAS0031-917110.1063/1.865011 28, 1280 (1985).
5. P. A. Skovorodko, "Semi-empirical boundary conditions for strong evaporation of a polyatomic gas," in Rarefied Gas Dynamics, edited by T. J. Bartel and M. A. Gallis, AIP Conference Proceedings, Vol. 585 (American Institute of Physics, Melville, NY, 2001), p. 588.
6. N. A. Zharov, I. A. Kudnetsova, and A. A. Yushkanov, "Intense evaporation of molecular gas" High Temp. HITEA40018-151X 36, 109 (1998).
7. A. Frezzotti, "A numerical investigation of the steady evaporation of a polyatomic gas," Technical Report No. 648/P, Dipartimento di Matematica-Politecnico di Milano, 2005.
8. S. Fujikawa, T. Yano, K. Kobajashi, K. Iwanami, and M. Ichijo, "Molecular gas dynamics applied to phase change processes at a vapor-liquid interface: Shock-tube experiment and MGD computation for methanol," Exp. Fluids EXFLDU0723-486410.1007/s00348-004-0787-1 37, 80 (2004).
9. K. Aoki, Y. Sone, and T. Yamada, "Numerical analysis of gas flows condensing on its plane condensed phase on the basis of kinetic theory," Phys. Fluids A PFADEB0899-821310.1063/1.857661 2, 1867 (1990).
10. K. Aoki, K. Nishino, Y. Sone, and H. Sugimoto, "Numerical analysis of steady flows of a gas condensing on or evaporating from its plane condensed phase on the basis of kinetic theory: Effect of gas motion along the condensed phase," Phys. Fluids A PFADEB0899-821310.1063/ 1.857907 3, 2260 (1991).
11. M. N. Kogan and A. A. Abramov, "Direct Simulation Solution of the Strong Evaporation and Condensation Problem," in Rarefied Gas Dynamics, edited by A. E. Beylich (VCH, Weinheim, 1991), pp. 1278-1284.
12. Y. Sone, F. Golse, T. Ohwada, and T. Doi, "Analytical study of transonic flows of a gas condensing onto its plane condensed phase on the basis of kinetic theory," Eur. J. Mech. B/Fluids EJBFEV0997-754610.1016/S0997-7546(98)80260-4, 17, 277 (1998).
13. C. Borgnakke and P. S. Larsen, "Statistical collision model for Monte Carlo simulation of polyatomic gas hixtures," J. Comput. Phys. JCTPAH0021-999110.1016/0021-9991(75)90094-7 18, 405 (1975).
14. I. Kuščer, "A model for rotational energy exchange in polyatomic gases," Physica A PHYADX0378-4371 158, 784 (1989).
15. G. A. Bird, Molecular Gas Dynamics and the Direct Simulation of Gas Flows (Clarendon, Oxford, 1994).
16. P. L. Bhatnagar, E. P. Gross, and M. Krook, "A model for collision processes in gases. I. Small amplitude processes in charged and neutral one-component systems," Phys. Rev. PHRVAO0031-899X 94, 511525 (1954).
17. L. H. Holway, "New statistical models for kinetic theory," Phys. Fluids PFLDAS0031-917110.1063/1.1761920 9, 1658 (1966).
18. S. Chapman and T. G. Cowling, The Mathematical Theory of Non-Uniform Gases (Cambridge University Press, Cambridge, 1990).
19. I. J. Wysong and D. C. Wadsworth, "Assessment of direct simulation Monte Carlo phenomenological rotational relaxation models," Phys. Fluids PHFLE61070-663110.1063/1.869818 10, 2983 (1998).
20. R. Meland, A. Frezzotti, T. Ytrehus, and B. Hafskjold, "Nonequilibrium molecular-dynamics simulation of net evaporation and net condensation, and evaluation of the gas-kinetic boundary condition at the interphase," Phys. Fluids PHFLE61070-663110.1063/ 1.1630797 16, 223 (2004).
21. M. Marek and J. Straub, "Analysis of the evaporation coefficient and the condensation coefficient of water," Int. J. Heat Mass Transfer IJHMAK0017-931010.1016/S0017-9310(00)00086-7 44, 39 (2001).
22. T. Tsuruta, H. Tanaka, and T. Masuoka, "Condensation/evaporation coefficient and velocity distribution at liquid-vapor interface," Int. J. Heat Mass Transfer IJHMAK0017-931010.1016/S0017-9310(99)00081-2 42, 4107 (1999).
23. S. I. Anisimov, D. O. Dunikov, V. V. Zhakhovskii, and S. P. Malyshenko, "Properties of a liquid-gas interface at high-rate evaporation," J. Chem. Phys. JCPSA60021-960610.1063/1.478779 110, 8722 (1999).
24. T. Ishiyama, T. Yano, and S. Fujikawa, "Molecular dynamics study of kinetic boundary condition at an interface between argon vapor and its condensed phase," Phys. Fluids PHFLE61070-663110.1063/1.1763936 16, 2899 (2004).
25. A. Frezzotti and L. Gibelli, "A kinetic model for equilibrium and non-equilibrium structure of the vapor-liquid interface," in Rarefied Gas Dynamics, edited by A. D. Ketsdever and E. P. Muntz, AIP Conference Proceedings, Vol. 663 (American Institute of Physics, Melville, NY, 2003), pp. 980-987.
26. A. Frezzotti, L. Gibelli, and S. Lorenzani, "Mean field kinetic theory description of evaporation of a fluid into vacuum," Phys. Fluids PHFLE61070-663110.1063/1.1824111 17, 012102 (2005).
27. T. Ishiyama, T. Yano, and S. Fujikawa, "Molecular dynamics study of kinetic boundary condition at an interface between a polyatomic vapor and its condensed phase," Phys. Fluids PHFLE61070-663110.1063/ 1.1811674 16, 4713 (2004).
28. A. V. Rodionov, J. F. Crifo, K. Szego, J. Lagerros, and M. Fulle, "An advanced physical model of cometary activity," Planet. Space Sci. PLSSAE0032-0633 50, 983 (2002).
29. C. K. Chu, "Kinetic-theoretic description of the formation of a shock wave," Phys. Fluids PFLDAS0031-917110.1063/1.1761077 8, 12 (1965).
30. A. Frezzotti, "Numerical investigation of the strong evaporation of a polyatomic gas," in Rarefied Gas Dynamics, edited by A. E. Beylich (VCH, Weinheim, 1991), pp. 12431250.