Analytical solutions for coagulation and condensation kinetics of composite particles

The processes of composite particles formation consisting of a mixture of different materials are essential for many practical problems: for analysis of the consequences of accidental releases in atmosphere; for simulation of precipitation formation in clouds; for description of multi-phase processes in chemical reactors and industrial facilities. Computer codes developed for numerical simulation of these processes require optimization of computational methods and verification of numerical programs. Kinetic equations of composite particle formation are given in this work in a concise form (impurity integrated). Coagulation, condensation and external sources associated with nucleation are taken into account. Analytical solutions were obtained in a number of model cases. The general laws for fraction redistribution of impurities were defined. The results can be applied to develop numerical algorithms considerably reducing the simulation effort, as well as to verify the numerical programs for calculation of the formation kinetics of composite particles in the problems of practical importance.

► We obtain new kinetic equations for composite particles due to coagulation and condensation.
► New analytical solutions have been obtained for spectra and impurity content.
► Results have been generalized in case of arbitrary coagulation coefficients.
► The general regularities of fraction redistribution of impurity were found out.
► The results can be used for verification of computer codes.