Approximated Solution for The Most Penetrating Particle Size in Multiple Fluid Sphere Systems

Abstract

There exists an intermediate size of particles, normally refereed to as most penetrating particle size, at which particles are least influenced by any collection mechanisms. The maximum aerosol penetration regime can occur where Brownian diffusion plus either gravitation or interception are the operant controlling mechanisms. In this study, a simplified approximated solution was obtained with regard to the most penetrating particle size in multiple fluid sphere systems. The harmonic mean type solution was approximated, and the results were then compared with the numerical solutions. Finally, minimum collection efficiency was calculated from the obtained solution for the most penetrating particle size. The simplified approximated solution is very consistent with the numerically calculated solution, for solid, bubble, and liquid fluid sphere systems. Consequently, this study showed that the general type-solutions were analytically approximated for both most penetrating particle size and minimum collection efficiency in multiple fluid spheres systems.