Patameter estimation of a simplified model for predicting aerosol collection efficiency on a dust-loaded fiber

Abstract

The growth of dendrite on a fiber in an air filter causes the particle collection efficiency along with the pressure drop to increase rapidly with filtration time. The deterministic dendritic growth model which Dr.Wiwut et al. developed on the basis of population balance was modified for particle deposition via convective diffusion and via inertial impaction. The optimal parametric values of the model could be estimated by comparison with the stochastic simulation results. The non-linear simplex method was used to estimate the set of values that minimized the objective function, which is the squared difference of the dendrite distribution between the present model and the previous stochastic model. The dendrite distribution predicted by the model agreed well with that of the stochastic model at a small interception parameter R but fairly well at a large R. The set of optimal parameters and the collection efficiency raising factor depended on the filtration conditions namely, R and Pe for convective diffusion, or R and St for inertial impaction. By the way, the present model also required much less computer memory and consumed much less computational time than the stochastic model.