Aerosol nucleation and growth and their coupling to thermal hydraulics

We examine the physical processes leading to vapour condensation as an aerosol in the formation and cooling of vapour-gas mixtures. Requirements for mathematical, computer and experimental modelling are discussed in relation to nuclear aerosols. In the absence of sudden pressure drops we give a complete schematic set of equations which govern the motion of aerosol, vapour, gas and heat including radiation. The coupling to the aerosol equation is mainly through the droplet growth rate, R, and a nucleation term whose possible forms are described. Rapid equilibration between vapour and aerosol means that the likely heterogeneous nucleation term must be treated separately. General forms are given for the coupling terms in the equations for vapour concentration and temperature in terms of the local mass transfer rate to the aerosol. The properties of this quantity are shown clearly by an expression for it obtained in terms of Lewis and condensation numbers and the quantify, zeta, whose derivative gives the local total heat transfer rate. Sizes of these numbers are given for some relevant vapour-gas mixtures. Throughout the paper we give the physical requirements necessary to make the transitions to the more calculable cases of uniform or well-mixed aerosols, and finally we discuss the case of initially unsaturated vapour-gas mixtures. (orig.)