Evaluation of master equations for the droplet size distribution in condensing flow

Physics of Fluids

Volumn 21, Issue 7, 2009, Pages

  Sidin, Ryan S R ^a   Hagmeijer, Rob ^a   Sachs, Ulrich ^a  

^a UNIVERSITY OF TWENTE   (Netherlands)

Author keywords

[No Author keywords available]

Indexed keywords

FOKKER PLANCK EQUATION; INTEGRAL EQUATIONS; NOZZLES; NUCLEATION;

DROPLET SIZE DISTRIBUTIONS; EQUILIBRIUM DISTRIBUTIONS; EXPANDING NOZZLE FLOWS; FIRST AND SECOND-ORDER APPROXIMATIONS; GENERAL DYNAMIC EQUATION; SENSITIVITY STUDIES; STICKING PROBABILITY; SURFACE TENSION MODELING;

PROBABILITY DISTRIBUTIONS;

EID: 70350702917     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.3180863     Document Type: Article

References (26)

1. D. Kashchiev, Nucleation: Basic Theory With Applications (Butterworth-Heineman, Oxford, 2000).
2. J. H. Seinfeld, Atmospheric Chemistry and Physics of Air Pollution (Wiley, New York, 1986).
3. M. M. R. Williams and S. K. Loyalka, Aerosol Science Theory and Practice (Pergamon, Oxford, 1991).
4. R. Becker and W. Döring, "Kinetische Behandlung der Keimbildung in übersättigten Dämpfern," Ann. Phys. ANPYA20003-3804 416, 719 (1935). 10.1002/andp.19354160806
5. H. Vehkamäki, Nucleation Theory in Multicomponent Systems (Springer-Verlag, Berlin, 2006).
6. V. Holten and M.E.H. van Dongen, "Comparison between solutions of the general dynamic equation and the kinetic equation for nucleation and droplet growth," J. Chem. Phys. JCPSA60021-9606 130, 014102 (2009). 10.1063/1.3054634
7. A. H. White and J. B. Young, "Transient calculations of nucleation and droplet growth for wet-steam expansions," in Proceedings of the 15th International Conference on the Properties of Water and Steam, edited by R. Span and I. Weber (VDI-The Association of German Engineers, Düsseldorf, 2008).
8. G. K. Schenter, S. M. Kathmann, and B. C. Garrett, "Dynamical benchmarks of the nucleation kinetics of water," J. Chem. Phys. JCPSA60021-9606 116, 4275 (2002). 10.1063/1.1448487
9. Y. Okada and Y. Hara, "Calculation of the sticking probability of a water molecule to a water droplet," Earozory Kenkyu 22, 147 (2007).
10. K. Yasuoka and M. Matsumoto, "Molecular dynamics of homogeneous nucleation in the vapor phase. II. Water," J. Chem. Phys. JCPSA60021-9606 109, 8463 (1998). 10.1063/1.477510
11. G. Wilemski, "The Kelvin-equation and self-consistent nucleation theory," J. Chem. Phys. JCPSA60021-9606 103, 1119 (1995). 10.1063/ 1.469822
12. 2O in comparison: The isotope effect," J. Phys. Chem. BJPCBFK1089-5647 105, 11683 (2001). 10.1021/jp0115805
13. H. Risken, The Fokker-Planck Equation: Methods of Solution and Applications (Springer, Berlin, 1989).
14. P. G. Hill, "Condensation of water vapor during supersonic expansion in nozzles," J. Fluid Mech. JFLSA70022-1120 25, 593 (1966). 10.1017/S0022112066000284
15. R. Hagmeijer, R. H. A. IJzermans, and F. Put, "Solution of the general dynamic equation along approximate fluid trajectories generated by the method of moments," Phys. Fluids PHFLE61070-6631 17, 056101 (2005). 10.1063/1.1921147
16. A. H. White, "A comparison of modelling methods for polydispersed wet-steam flow," Int. J. Numer. Methods Eng. IJNMBH0029-5981 57, 819 (2003). 10.1002/nme.705
17. X. Luo, B. Prast, M. E. H. van Dongen, H. W. M. Hoeijmakers, and J. Yang, "On phase transition in compressible flows: Modelling and validation," J. Fluid Mech. JFLSA70022-1120 548, 403 (2006). 10.1017/S0022112005007809
18. M. Muitjens, "Homogeneous condensation in a vapor/gas mixture at high pressures in an expansion cloud chamber," Ph.D. thesis, Eindhoven University of Technology, 1996.
19. R. Sidin and R. Hagmeijer, "Evaluation of the phase path analysis method in condensing flows," in Proceedings of the Sixth International Conference on Multiphase Flow, edited by M. Sommerfeld (Martin-Luther-Universität Halle-Wittenberg, Halle, 2007), Paper No. S4_Thu_D_61.
20. S. Tanimura, Y. Zvinevich, B. E. Wyslouzil, M. S. Zahniser, J. H. Shorter, D. D. Nelson, and J. B. McManus, "Temperature and gas-phase composition measurements in supersonic flows using tunable laser diode absorption spectroscopy: The effect of condensation on the boundary-layer thickness," J. Chem. Phys. JCPSA60021-9606 122, 194304 (2005). 10.1063/1.1900084
21. 2O nanodroplets and binary nucleation rates in a supersonic nozzle," J. Chem. Phys. JCPSA60021-9606 118, 5465 (2003). 10.1063/1.1554736
22. 2O from measurements made during steady-state evaporation," Phys. Rev. E PLEEE81063-651X 72, 056304 (2005). 10.1103/PhysRevE.72.056304
23. P. Tamamidis and D. Assanis, "Evaluation of various high-order accuracy schemes with and without flux limiters," Int. J. Numer. Methods Fluids IJNFDW0271-2091 16, 931 (1993). 10.1002/fld.1650161006
24. B. van Leer, "Flux-vector splitting for the Euler equations," Lect. Notes Phys. LNPHA40075-8450 170, 507 (1982). 10.1007/ 3-540-11948-5_66
25. G. D. Van Albada, B. Van Leer, and W. W. Roberts, "A comparative study of computational methods in cosmic gas dynamics," Astron. Astrophys.AAEJAF0004-6361 108, 76 (1982).
26. J. Merikanto, E. Zapadinsky, A. Lauri, and H. Vehkamäki, "Origin of the failure of nucleation theory: Incorrect description of the smallest droplets," Phys. Rev. Lett. PRLTAO0031-9007 98, 145702 (2007). 10.1103/PhysRevLett.98.145702