Enhanced growth rates of nanodroplets in the free molecular regime: The role of long-range interactions

ABSTRACT Recently, Pathak et al. (2013) conducted a series of non-isothermal D2O nanodroplet growth studies in the free molecular regime. They found that under highly non-equilibrium conditions, the condensation (qc) and evaporation coefficients (qe) can differ from each other and from the expected value of 1. Here, we confirm these observations by analyzing comparable experiments using n-propanol. We show that the best agreement with the non-isothermal Hertz–Knudsen growth law corresponds to setting (qc, qe) = (1, 0.6) or (qc, qe) = (1.3, 1). The approach of retarded evaporation yields values close to those observed by Pathak et al. for D2O, but is difficult to justify theoretically. Enhancing the condensation coefficient is consistent with long-range attractive interactions between the vapor molecules and droplets in the nanometer size range. © 2016 American Association for Aerosol Research

[1]  J. Wölk,et al.  Isothermal Nucleation Rates of n-Propanol, n-Butanol, and n-Pentanol in Supersonic Nozzles: Critical Cluster Sizes and the Role of Coagulation. , 2015, The journal of physical chemistry. B.

[2]  Fiona R. Hughes,et al.  A Comparison of Modeling Techniques for Polydispersed Droplet Spectra in Steam Turbines , 2015 .

[3]  K. Lehtinen,et al.  Estimating atmospheric nucleation rates from size distribution measurements: Analytical equations for the case of size dependent growth rates , 2014 .

[4]  H. Pathak,et al.  Nonisothermal Droplet Growth in the Free Molecular Regime , 2013 .

[5]  Christopher J. Hogan,et al.  Nanoparticle collisions in the gas phase in the presence of singular contact potentials. , 2012, The Journal of chemical physics.

[6]  D. Ghosh,et al.  Nucleation of ethanol, propanol, butanol, and pentanol: a systematic experimental study along the homologous series. , 2012, The Journal of chemical physics.

[7]  Christopher J. Hogan,et al.  Determination of the Transition Regime Collision Kernel from Mean First Passage Times , 2011 .

[8]  R. C. Cohen,et al.  Determination of the evaporation coefficient of D 2 O , 2008 .

[9]  S. Seifert,et al.  Using small angle x-ray scattering to measure the homogeneous nucleation rates of n-propanol, n-butanol, and n-pentanol in supersonic nozzle expansions. , 2008, The Journal of chemical physics.

[10]  Aldo Frezzotti,et al.  Nonequilibrium molecular-dynamics simulation of net evaporation and net condensation, and evaluation of the gas-kinetic boundary condition at the interphase , 2004 .

[11]  Oleg V. Vasilyev,et al.  Effect of the attractive potential of a drop in vapor phase nucleation. , 1996, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[12]  Oleg V. Vasilyev,et al.  Capture of vapor molecules by a realistic attraction potential of a drop , 1996 .

[13]  Y. Viisanen,et al.  Homogeneous nucleation rates for n‐butanol , 1994 .

[14]  Stephen J. Harris,et al.  The Coagulation of Soot Particles with van der Waals Forces , 1988 .

[15]  I. Kennedy The evolution of a soot aerosol in a counterflow diffusion flame , 1987 .

[16]  K. Okuyama,et al.  Change in size distribution of ultrafine aerosol particles undergoing brownian coagulation , 1984 .

[17]  J. Young Spontaneous condensation of steam in supersonic nozzles , 1982 .

[18]  W. Marlow Lead aerosol brownian collision rates at normal and elevated temperature: theory , 1982 .

[19]  W. Marlow Lifshitz–van der Waals forces in aerosol particle collisions. I. Introduction: Water droplets , 1980 .

[20]  N. Fuchs,et al.  Coagulation rate of highly dispersed aerosols , 1965 .

[21]  K. Kobe The properties of gases and liquids , 1959 .

[22]  J. Straub,et al.  Analysis of the evaporation coefficient and the condensation coefficient of water , 2001 .

[23]  S. C. Graham,et al.  Coagulation of molten lead aerosols , 1973 .

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