Coupled coagulation of aerosol particles at large Knudsen and small Peclet numbers

摘要

At large Knudsen number, the medium can be approximated by a molecular system, and the equa- tion for the pair-distribution function is then established. When the Peclet number is small, the matched asymptotic ex- pansions of singular perturbation theory is used to solve the equation of the pair-distribution function. A third-order ex- pansion for the dimensionless coagulation rate (Nusselt number) is thus obtained. Comparison of numeric results of the coagulation rate in a molecular system and that in a continuous medium bas shown that the coagulation rate in a molecu- lar system is much larger than that in a continuous medium