Models for condensational growth and evaporation of binary aerosol particles

Journal of Aerosol Science

Volumn 28, Issue 4, 1997, Pages 565-598

  Vesala, Timo ^a   Kulmala, Markku ^a   Rudolf, Richard ^b   Vrtala, Aron ^b   Wagner, Paul E ^b  

^a UNIVERSITY OF HELSINKI   (Finland)

^b INSTITUT FÜR EXPERIMENTALPHYSIK   (Austria)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; CONDENSATION; DROP FORMATION; ENTHALPY; EVAPORATION; HEAT FLUX; HEAT TRANSFER; MASS TRANSFER; MATHEMATICAL MODELS; PARTICLE SIZE ANALYSIS; VAPOR PRESSURE;

BINARY AEROSOL PARTICLES; BINARY DROPLET GROWTH; MASS FLUX;

AEROSOLS;

NITRIC ACID;

ARTICLE; EVAPORATION; POLYMERIZATION; PRESSURE; PRIORITY JOURNAL; TEMPERATURE; VAPOR;

EID: 0031172054     PISSN: 00218502     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0021-8502(96)00461-2     Document Type: Article

References (70)

1. Barkstrom, B. R. (1978) Some effects of 8-12 μm radiant energy transfer on the mass and heat budgets of cloud droplets. J. atmos. Sci. 35, 665-673.
2. Barrett, J. C. and Clement, C. F. (1988) Growth rates for liquid drops. J. Aerosol Sci. 19, 223-242.
3. Barrett, J. C. and Clement, C. F. (1990) Growth and redistribution in a droplet cloud interacting with radiation. J. Aerosol Sci. 21, 761-776.
4. Barrett, J. C., Clement, C. F. and Ford, I. J. (1992) The effect of redistribution on aerosol removal rates. J. Aerosol Sci. 23, 639-656.
5. Barrett, J. C. and Fissan, H. J. (1989) Aerosol growth by condensation in a well-mixed chamber. J. Aerosol Sci. 20, 279-288.
6. Bird, R. B., Curtiss, C. F. and Hirschfelder, J. O. (1955) Fluid mechanics and the transport phenomena. Chem. Eng. Prog. Symp. Series, 51(61), 69-85.
7. Bird, R. B., Stewart, W. E. and Lightfoot, E. N. (1960) Transport Phenomena. Wiley, New York.
8. Brock, J. R. (1967) Highly nonequilibrium evaporation of moving particles in the transition region of Knudsen number. J. Colloid Interface Sci. 24, 344-351.
9. Carslaw, H. S. and Jaeger, J. C. (1959) Conduction of Heat in Solids, 2nd Edition. Oxford University Press, Amen House, London.
10. Carstens, J. C. (1979) Drop growth in the atmosphere by condensation: application to cloud physics. Adv. Colloid Interface Sci. 10, 285-314.
11. Chapman, S. and Cowling, T. G. (1970) The Mathematical Theory of Non-uniform Gases, 3rd Edition. Cambridge University Press, Cambridge, U.K.
12. Clegg, S. L. and Brimblecombe, P. (1990) Equilibrium partial pressures and mean activity and osmotic coefficients of 0-100% nitric acid as a function of temperature. J. Phys. Chem. 94, 5369-5380.
13. Clement, C. F. (1985) Aerosol formation from heat and mass transfer in vapour-gas mixtures. Proc. R. Soc. Lond. A. 398, 307-339.
14. Clement, C. F. (1991) Condensation and evaporation in clouds. In Report Series in Aerosol Science, 17. Finnish Association for Aerosol Research, Helsinki, 3-8.
15. Crank, J. (1957) The Mathematics of Diffusion. Oxford University Press, Amen House, London.
16. CRC Handbook of Chemistry and Physics (1985) 66th Edition. The Chemical Rubber Co., Cleveland, Ohio.
17. Curtiss, C. F. and Hirschfelder, J. O. (1949) Transport properties of multicomponent gas mixtures. J. Chem. Phys. 17(6), 550-555.
18. Daniels, F. and Alberty R. A. (1966) Physical Chemistry. 3rd Edition. Wiley, New York.
19. Davis, E. J. (1983) Transport phenomena with single aerosol particles. Aerosol Sci. Technol. 2, 121-141.
20. FORTRAN-routine C05NCF (1988) The NAG Fortran Library Manual - Mark 13. Vol. 1 (The Numerical Algorithms Group Ltd, Oxford, U.K.).
21. Frank-Kamenetskii, D. A. (1969) Diffusion and Heat Transfer in Chemical Kinetics, 2nd Edition. Plenum Press, New York.
22. Frössling, N. (1938) Über die Verdunstung fallender Tropfen. Gerlands Beitr. Geophys. 52, 170-216.
23. Fuchs, N. A. (1959) Evaporation and Droplet Growth in Gaseous Media. Pergamon Press, London.
24. Fuchs, N. A. and Sutugin, A. G. (1970) Highly Dispersed Aerosols. Ann Arbor Science Publ., Ann Arbor, Michigan.
25. Grew, K. E. and Ibbs, T. L. (1952) Thermal Diffusion in Gases. University Press, Cambridge.
26. Heidenreich, S. (1994) Condensational droplet growth in the continuum regime - a critical review for the system air-water. J. Aerosol Sci. 25, 49-59.
27. Hirschfelder, J. O., Curtiss, C. F. and Bird, R. B. (1954) Molecular Theory of Gases and Liquids. Wiley, New York.
28. Isachenko, V. P., Osipova, V. A. and Sukomel, A. S. (1977) Heat Transfer, 3rd Edition. Mir Publishers, Moscow.
29. Jaecker-Voirol, A., Ponche, J. L. and Mirabel, P. (1990) Vapor pressures in the ternary system water-nitric-acid-sulfuric-acid at low temperatures. J. Geophys. Res. D 95, 11857.
30. Kalkkinen, J., Vesala, T. and Kulmala, M. (1991) Binary droplet evaporation in the presence of an inert gas: an exact solution of the Maxwell-Stefan equations. Int. Comm. Heat Mass Transfer 18, 117-126.
31. Kaye, G. W. C. and Laby, T. H. (1986) Tables of physical and chemical constants. Longman, New York.
32. Kennard, E. H. (1938) Kinetic Theory of Gases. McGraw-Hill, New York.
33. Kirkwood, J. G. and Crawford, B. (1952) The macroscopic equations of transport. J. Phys. Chem. 56, 1048-1051.
34. Korhonen, P., Vesala, T. and Kulmala, M. (1994) An air parcel model with multicomponent condensation: a tool for the study of cloud microphysics. In Report Ser. Aerosol Sci. 25, Finnish Association for Aerosol Research, Helsinki, 15-28.
35. Kreidenweis, S. M., Flagan, R. C. and Seinfeld, J. H. (1987) Evaporation and growth of multicomponent aerosols laboratory applications. Aerosol Sci. Technol. 6, 1-14.
36. Krishna, R. and Standart, G. L. (1979) Mass and energy transfer in multicomponent systems. Chem. Engng Commun. 3, 201-275.
37. Kulmala, M. (1990) An analytical expression for the growth of a single particle. In Report Ser. Aerosol Sci. 12, Finnish Association for Aerosol Research, Helsinki, 23-28.
38. Kulmala, M. and Vesala, T. (1991) Condensation in the continuum regime. J. Aerosol Sci. 22, 337-346.
39. Kulmala, M., Laaksonen, A., Vesala, T., Korhonen, P. and Barrett, J. C. (1992) Activation and growth of cloud condensation nuclei by binary nucleation and condensation processes. J. Aerosol Sci. 23, Suppl. 1, S113-S116.
40. Kulmala, M., Vesala, T. and Wagner, P. E. (1993a) An analytical expression for the rate of binary condensational particle growth. Proc. R. Soc. Lond. A 441, 589-605.
41. Kulmala, M., Laaksonen, A., Korhonen, P., Vesala, T., Ahonen, T. and Barrett, J. C. (1993b) The effect of atmospheric nitric acid vapor on cloud condensation nucleus activation. J. Geophys. Res. 98(D12), 22,949-22,958.
42. Kulmala, M., Vesala, T., Schwarz, J. and Smolik, J. (1995a) Mass transfer from a drop - II: Theoretical analysis of temperature dependent mass flux correlation. Int. J. Heat Mass Transfer 39, 1705-1708.
43. Kulmala, M., Vehkamäki, H., Vesala, T., Barrett, J. C. and Clement, C. F. (1995b) Aerosol formation in diffusive boundary layer: binary homogeneous nucleation of ammonia and water vapours. J. Aerosol Sci. 26, 547-558.
44. Landau, L. and Lifshitz, E. (1959) Fluid Mechanics, 1st Edition. Course of Theoretical Physics, Vol. 6, Pergamon Press, London.
45. Landoldt-Börnstein (1960) Zahlenwerte und Functionen aus Physik-Chemie-Astronomie-Geophysik-Technik. Springer, Berlin.
46. Manton, M. J. (1983) The physics of clouds in the atmosphere. Rep. Prog. Phys. 46, 1393-1444.
47. Mason, E. A. and Evans III, R. S. (1969) Graham's law: simple demonstrations of gases in motion. J. Chem. Educ. 46, 358-364.
48. Newbold, F. and Amundson, N. (1973) A model for evaporation of a multicomponent droplet. A.I.Ch.E. J. 19, 22-30.
49. Prausnitz, J., Lichtenthaler, R. and de Azevedo, E. (1986) Molecular thermodynamics of fluid-phase equilibria. Prentice-Hall, Englewood Cliffs, New Jersey.
50. Preining, O., Wagner, P. E., Pohl, F. G. and Szymanski, W. (1981) Heterogeneous nucleation and droplet growth. University of Vienna, Institute for Experimental Physics, Vienna, Austria.
51. Press, W. H., Flannery, B. P., Teukolsky, S. A. and Vetterling, W. T. (1986) Numerical Recipes. Cambridge University Press, New York.
52. Reid, R. C., Prausnitz, J. M. and Poling, B. E. (1987) The Properties of Gases and Liquids, 4th Edition. McGraw-Hill, New York.
53. Rosner, D. E. and Chang, W. S. (1973) Transient evaporation and combustion of a fuel droplet near its critical temperature. Combustion Sci. Technol. 7, 145-158.
54. Rudolf, R. (1991) Expansionskammerexperimente zum Kondensationswachstum in Übersättigten Binären Wasser - n-Propanol Dampfmischungen. Diplomarbeit, University of Vienna, Austria.
55. Rudolf, R. (1994) Experimental investigations on condensation of supersaturated acid-water vapor mixtures by means of laser light scattering in a newly developed expansion chamber. Ph.D. Thesis, University of Vienna, Austria.
56. Schwarz, J. and Smolik, J. (1994) Mass transfer from a drop - I: Experimental study and comparisons with existing correlations. Int. J. Heat Mass Transfer 31, 2139-2143.
57. Seinfeld, J. H. (1986) Atmospheric Chemistry and Physics of Air Pollution. Wiley, New York.
58. Sherwood, T. K. (1937) Absorption and Extraction, 1st Edition. McGraw-Hill, New York.
59. Squires, P. (1952) The growth of cloud drops by condensation. I. General characteristics. Australian J. Sci. Res. A5, 59-86.
60. Timmermans, J. (1960) The Physico-Chemical Constants of Binary Systems, Vol. 4. Interscience, New York.
61. Toor, H. L. (1957) Diffusion in three-component gas mixtures. A.I.Ch.E. J. 3, 198-207.
62. Vašáková, J. and Smolik, J. (1994) Thermal diffusion factors for binary gas systems at low pressures: estimation from theory. In Report Ser. Aerosol Sci. 25, Finnish Association for Aerosol Research, Helsinki, 1-14.
63. Vesala, T. (1991) Commentationes Physico-Mathematicae et Chemico-Medicae No 127, Ph.D. Thesis, University of Helsinki, The Finnish Society of Sciences and Letters, Helsinki, Finland.
64. Vesala, T. (1993) On droplet evaporation in the presence of a condensing substance: the effect of internal diffusion. Int. J. Heat Mass Transfer 36, 695-703.
65. Vesala, T. and Kukkonen, J. (1992) A model for binary droplet evaporation and condensation, and its application for ammonia droplets in humid air. Atmos. Envir. 26A, 1573-1581.
66. Vesala, T. and Kulmala, M. (1993) Comparisons of uncoupled, film theoretical and exact solutions for binary droplet evaporation and condensation. Physica A 192, 107-123.
67. Viisanen, Y. (1991) Commentationes Physico-Mathematicae et Chemico-Medicae No 133. Ph.D. Thesis, University of Helsinki, The Finnish Society of Sciences and Letters, Helsinki, Finland.
68. Wagner, P. E. (1982) Aerosol growth by condensation. In Aerosol Microphysics II (Edited by Marlow, W. H.), pp. 129-178. Springer, Berlin.
69. Wagner, P. E. (1985) A constant-angle Mie scattering method (CAMS) for investigation of particle formation processes. J. Colloid Interface Sci. 105, 456-467.
70. Wagner, P. E. (1991) Energy balance during condensational drop growth. J. Aerosol Sci. 22, 789-791.