The chord length distribution of a two-sphere aggregate

Chord length distributions of non convex bodies: Dumbbell and diabolo like-particles

“…The figures 2a-b represent the CLDs of dumbbells with various inter-centre values  whereas the figures 3a-b represent the CLDs of diabolos with various neck sizes expressed as R2. The CLD's of two touching spheres [18] and dumbbells [19] are analytically known; the comparison between analytical expressions and MCS shows a very strong agreement.…”

“…Vlasov formally deduced the expression of the CLD for the non-convex case. Gruy et al analytically calculated the CLD of a two-sphere cluster [18] and a dumbbell [19].…”

The chord length distribution of a dumbbell shaped aggregate: Analytical expression

“…As a consequence, two CLD can be defined: Even if the latter ones only consider OCD, we will present both OCD and MCD calculations with 3D uniform flow of lines. The corresponding procedure is similar to the one used for a two-sphere aggregate [15].…”

“…Among the particle shapes observed in industrial processes, small clusters of spherical particles are often present. By the past we calculated [15] the CLD for a two-sphere aggregate. In this paper we extend this calculation to a set of two spheres penetrating each other.…”

Relationship between the morphology and the light scattering cross section of optically soft aggregates

“…These functions can often be analytically calculated for convex bodies. However, the calculation is less easy for non convex bodies [19,20], as clusters of primary particles. The choice of the relevant geometrical parameter depends on the size and the relative refractive index m; m is defined by the ratio between the refractive indices of the particle and the surrounding medium.…”