Mean field kinetic theory description of evaporation of a fluid into vacuum

Physics of Fluids

Volumn 17, Issue 1, 2005, Pages

  Frezzotti, Aldo ^a   Gibelli, Livio ^a   Lorenzani, Silvia ^a  

^a POLITECNICO DI MILANO   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; DIFFUSION; EVAPORATION; KINETIC THEORY; VAPORS;

DIFFUSIVE BOUNDARY CONDITIONS; EVAPORATING MOLECULES; MEAN FIELD KINETIC THEORY;

FLOW OF FLUIDS;

EVAPORATION; KINETICS; MATHEMATICAL ANALYSIS; VACUUM;

EID: 19944427806     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.1824111     Document Type: Article

References (29)

1. C. Cercignani, Rarefied Gas Dynamics: From Basic Concepts to Actual Calculations (Cambridge University Press, Cambridge, 2000).
2. Y. Sone, Kinetic Theory and Fluid Dynamics (Birkhäuser, Basel, 2002).
3. C. Cercignani, The Boltzmann Equation and Its Applications (Springer, Berlin, 1988).
4. Y. Onishi and K. Yamada, "Evaporation and condensation from or onto condensed phase with an internal structure," in Rarefied Gas Dynamics, AIP Conf. Proc. Vol. 663, edited by A. D. Ketsdever and E. P. Muntz (AIP, Melville, NY, 2003), pp. 630-637.
5. M. Maerefat, S. Fujikawa, and T. Akamatsu, "An experimental study of non-equilibrium vapor condensation in a shock-tube," Exp. Fluids EXFLDU0723-4864 7, 513 (1989).
6. 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).
7. J. A. Morgan and G. M. Nathanson, "Atom scattering from atomic surfactants: Collisions of argonAwith a dilute Bi:Ga solution," J. Chem. Phys. JCPSA60021-960610.1063/1.1344199 114, 1958 (2001).
8. M. Matsumoto and K. Yasuoka, "Evaporation and condensation at a liquid surface. I. Argon," J. Chem. Phys. JCPSA60021-9606 101, 7094 (1994).
9. 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).
10. V. V. Zhakhovskii and S. I. Anisimov, "Molecular dynamics simulation of evaporation of a liquid," JETPJTPHES1063-776110.1134/1.558192 84, 734 (1997).
11. 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).
12. A. Frezzotti, P. Grosfils, and S. Toxvaerd, "Evidence of an inverted temperature gradient during evaporation/condensation of a Lennard-Jones fluid," Phys. FluidsPHFLE61070-663110.1063/1.1601221 15, 2837 (2003).
13. A. Røsjorde, S. Kjelstrup, D. Bedeaux, and B. Hafskjold, "Non-equilibrium molecular dynamics simulations of steady state heat and mass transport in condensation. II. Transfer coefficients," J. Colloid Interface Sci.JCISA50021-979710.1006/jcis.2001.7611 240, 355 (2001).
14. 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).
15. 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. FluidsPHFLE61070-663110.1063/1.1763936 16, 2899 (2004).
16. M. Grmela, "Kinetic equation approach to phase transitions," J. Stat. Phys.JSTPBS0022-4715 3, 347 (1971).
17. J. Karkheck and G. Stell, "Mean field kinetic theories," J. Chem. Phys.JCPSA60021-960610.1063/1.442154 75, 1475 (1981).
18. D. Enskog, "Kinetische Theorie der Wärmeleitung, Reibung und Selbstdiffusion in gewissen verdichteten Gasen und Flüssigkeiten," K. Sven. Vetenskapsakad. Handl.KSVHAO0023-5377 63, 3 (1921).
19. A. Frezzotti and L. Gibelli, "A Kinetic model for equilibrium and non-equilibrium structure of the vapor-liquid interface," in Rarefied Gas Dynamics, AIP Conf. Proc. Vol. 663, edited by A. D. Ketsdever and E. P. Muntz (AIP, Melville, NY, 2003), pp. 980-987.
20. B. T. Nadiga and S. Zalesky, "Investigations of a two-phase fluid model," Eur. J. Mech. B/FluidsEJBFEV0997-7546 6, 885 (1996).
21. X. He and G. D. Doolen, "Thermodynamic foundations of kinetic theory and lattice Boltzmann models for multiphase flows," J. Stat. Phys.JSTPBS0022-471510.1023/A:1014527108336 107, 309 (2002).
22. R. Balescu, Equilibrium and Nonequilibrium Statistical Mechanics (Wiley, New York, 1975).
23. N. F. Carnahan and K. E. Starling, "Equation of state for nonattracting rigid spheres," J. Chem. Phys.JCPSA60021-960610.1063/1.1672048 51, 635 (1969).
24. P. Resibois and M. DeLeener, Classical Kinetic Theory of Fluids (Wiley, New York, 1977).
25. J. W. Cahn and J. E. Hilliard, "Free energy of a nonuniform system. I. interfacial free energy," J. Chem. Phys.JCPSA60021-960610.1063/1.1744102 28, 258 (1958).
26. A. Frezzotti, "A particle scheme for the numerical solution of the Enskog equation," Phys. FluidsPHFLE61070-663110.1063/1.869247 9, 1329 (1997).
27. M. P. Allen and D. J. Tildesley, Computer Simulation of Liquids (Clarendon, Oxford, 1987).
28. J. O. Hirschfelder, C. F. Curtiss, and R. B. Bird, Molecular Theory of Gases and Liquids (Wiley, New York, 1954).
29. R. Meland and T. Ytrehus, "Boundary conditions at a gas-liquid interface," in Rarefied Gas Dynamics, AIP Conf. Proc. Vol. 585, edited by T. J. Bartels and M. A. Gallis (AIP, Melville, NY, 2001), pp. 583-587.