Bivariate Taylor-series expansion method of moment for particle population balance equation in Brownian coagulation

摘要

AbstractIn this study, we extend the Taylor-series expansion method of moment to two-component aggregation problem undergoing Brownian coagulation with kernels that are independent of composition. A set of closed particle population balance equation for lower-order moments is then derived. Numerical results and its asymptotic solutions are validated by comparing with Monte Carlo simulation method both in free molecular regime and continuum regime. It is shown that three dimensionless particle momentsMC1,MC2,MC3almost approach to a same value over large evolution time. The normalized variance of excess component A decreases as1/v?and it tends to zero over large evolution time.Highlights?The Taylor-series expansion method of moment to two-component aggregation problem is proposed.?The asymptotic solution for particle moment for PBE is proposed and compared with numerical results.?The normalized variance of excess component A and dimensionless particle moments is investigated.]]>