Geometric Cross-Section & Surface Area of Fractal Aggregate

Abstract

We calculate the cross-section and surface area of fractal aggregate, defined as BPCA and BCCA. As a result, we confirm that both cross-section and surface area of fractal aggregate are larger than those of sphere with the equivalent mass. therefore, we can expect that the fractal aggregate is subject to the gas resistance more than the sphere. Moreover, we have found that a ratio of surface area to cross-section area of a fractal aggregate becomes the similar value to that of a sphere, i.e. about 4 regardless of its size and shape.