Asymptotic solution of population balance equation based on TEMOM model

In the present study, asymptotic solutions for particle moment and standard deviation due to Brownian coagulation have been obtained analytically, using a specific moment-based formulation known as the Taylor-series expansion method of moment (TEMOM). The derivation is rigorous, and the accuracy of the asymptotic solution is fully dependent on underlying approximations in an expanded Taylor series. The accuracy has been validated by a comparison with numerical results. The asymptotic solutions reveal that the long-time particle moments are an explicit exponential function of time and first particle moment.

► The asymptotic solution for particle moment for PBE has been proposed.
► The asymptotic solution is an explicit exponential function of time.
► The asymptotic solution has been compared with numerical results.