The Affect of Gravity on Particle Collection Efficiency of Inertial Impactors

"Gravitational forces have been found to be an important factor in defining the particle collection efficiency curve of inertial impactors for large particles. In general it was found that if the parameter G = gW /V 0 2 (g is the gravitational acceleration. w is the nozzle diameter and V 0 is the average fluid velocity at the nozzle throat) in greater than 10-3 the efficiency curve would shift to lower panicle sizes. No effect could be seen for lower values of G.IN'IRODUCTIONInertial impactors have long been used as classifiers for airborne particles. By proper design of the nozzles and flow rate it is possible to classify particles with a fairly sharp cut in the particle size range from approximately .02 µm to 50 µm. Because of inertial impactors wide usage they have been extensively studied calibrated and evaluated. Most of these studies have been experimental calibrations of single stages using monodisperse aerosol particles. However, due to impactor simplicity. i.e. a jet of particle laden air impinging upon a flat plate with large inertia particles crossing the streamlines and impacting upon the plate the impactor also lends itself to theoretical evaluation.The most comprehensive method for analyzing impactors theoretically is to use finite difference solutions to the Navier-Stokcs equations and solve for the velocity components and pressure at node points of a grid placed over the area of interest. Using iteration and relaxation techniques the value of the velocity vectors can be determined at these node points with good accuracy. Once the velocities arc known, theoretical particles of known size can be placed into the now field and their trajectories determined by analyzing their equation of motion using numerical methods.Rader and Marple (1985) have performed theoretical analysis on impactors and have included such factors as Ultra-Stoksian .drag and the physical diameter of the particle in their analysis. However, even with these· factors included, there appears to be discrepancy · between the experimental and theoretical results when the particle size is larger than approximately 4 or 5 µm. One possible reason for this discrepancy could be the effect of gravity on the particle as it passes through the impactor. Therefore, a program was initiated to study the effects of gravitational forces on the collection· efficiency of particles in impactors. The results of that study arc presented here."