Time-dependent aerosol models and homogeneous nucleation rates

Two types of numerical models for homogeneous nucleation and particle growth are compared: models in which the time rate of change in the stable aerosol population is given by an analytical expression for the nucleation rate, and discrete models, in which an expression for the nucleation rate is not required nor explicitly calculated. The classical expression for the homogeneous nucleation rate, coupled to a moment model, is found to produce poor agreement with a discrete-sectional model except for very low values of dimensionless surface tension. A new expression for the homogeneous nucleation rate is proposed, which when coupled to a moment model produces excellent agreement with a discrete-sectional model over a wide range of dimensionless surface tensions. The new expression is also consistent with experimental data on homogeneous nucleation of dibutylphthalate.

[1]  J. Frankel.  Kinetic theory of liquids , 1946 .

[2]  J. Seinfeld,et al.  Theory of aerosol formation and growth in laminar flow , 1983 .

[3]  S. Pratsinis,et al.  Theory for aerosol generation in laminar flow condensers , 1989 .

[4]  J. L. Katz,et al.  A kinetic approach to nucleation in condensed systems , 1978 .

[5]  S. Friedlander,et al.  Monodisperse particle production by vapor condensation in nozzles , 1988 .

[6]  J. Lothe,et al.  RECONSIDERATIONS OF NUCLEATION THEORY , 1962 .

[7]  Steven L Girshick,et al.  Numerical study of MgO powder synthesis by thermal plasma , 1990 .

[8]  J. Katz,et al.  Nucleation theory without Maxwell demons , 1977 .

[9]  J. Seinfeld,et al.  Homogeneous and heterogeneous nucleation in a laminar flow aerosol generator , 1987 .

[10]  Peter H. McMurry,et al.  Photochemical aerosol formation from SO2: A theoretical analysis of smog chamber data , 1980 .

[11]  S. Girshick,et al.  Homogeneous nucleation of particles from the vapor phase in thermal plasma synthesis , 1989 .

[12]  G. G. Stokes.  "J." , 1890, The New Yale Book of Quotations.

[13]  P. Mcmurry,et al.  Nucleation and Growth of Aerosol in Chemically Reacting Systems: A Theoretical Study of the Near-Collision-Controlled Regime , 1989 .

[14]  J. Seinfeld,et al.  Homogeneous Nucleation by Continuous Mixing of High Temperature Vapor with Room Temperature Gas , 1987 .

[15]  Richard C. Flagan,et al.  A discrete-sectional solution to the aerosol dynamic equation , 1988 .

[16]  J. Seinfeld,et al.  Nucleation and Growth of Aerosol From a Continuously Reinforced Vapor , 1984 .

[17]  F. A. Gifford,et al.  Atmospheric Chemistry and Physics of Air Pollution , 1987 .

[18]  S. Girshick,et al.  Kinetic nucleation theory: A new expression for the rate of homogeneous nucleation from an ideal supersaturated vapor , 1990 .

[19]  J. Seinfeld,et al.  Prediction of aerosol concentrations resulting from a burst of nucleation , 1985 .

[20]  H. S. Green,et al.  A Kinetic Theory of Liquids , 1947, Nature.

[21]  S. Pratsinis.  Simultaneous nucleation, condensation, and coagulation in aerosol reactors , 1988 .

[22]  S. Friedlander.  DYNAMICS OF AEROSOL FORMATION BY CHEMICAL REACTION * , 1983 .

[23]  R. Becker,et al.  Kinetische Behandlung der Keimbildung in übersättigten Dämpfen , 1935 .

[24]  S. Friedlander,et al.  Smoke, Dust and Haze: Fundamentals of Aerosol Behavior , 1977 .

[25]  J. Brock,et al.  Condensation aerosol formation and growth in a laminar coaxial jet: experimental , 1986 .