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Approximate analytical solutions to the condensation-coagulation equation of aerosols
Authors:Naftali R Smith  Nir J Shaviv  Henrik Svensmark
Affiliation:1. Racah Institute of Physics, Hebrew University of Jerusalem, Israel;2. The Institute for Advanced Study, Princeton, New Jersey, USA;3. National Space Institute, Technical University of Denmark, Elektrovej, Lyngby, Denmark
Abstract:We present analytical solutions to the steady state nucleation-condensation-coagulation equation of aerosols in the atmosphere. These solutions are appropriate under different limits but more general than previously derived analytical solutions. For example, we provide an analytic solution to the coagulation limit plus a condensation correction. Our solutions are then compared with numerical results. We show that the solutions can be used to estimate the sensitivity of the cloud condensation nuclei number density to the nucleation rate of small condensation nuclei and to changes in the formation rate of sulfuric acid.

© 2016 American Association for Aerosol Research

Keywords:Nicole Riemer
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