Some Aspects of Computer Approaches to Simulation of Bimodal Sphere Packing in Material Engineering

Abstract

This paper summarize idealized theoretical studies of bicomponent particle packing parameters, affecting the phase and pore structure of obtained materials. Such a kind of analysis can be used both in theoretical consideration of material engineering problems and in chemical industry. The effects of key variables on the relationship between packing fraction and particle size were re-examined for general application. Potential applications of these results include synthesis of nanopaterials, adsorbents, catalyst carriers and packing for chromatographic columns. Directions for future research are suggested.

Packing Spheres into a Minimum-Height Parabolic Container

“…Several publications consider ellipsoidal containers [16,17], while there are only a few works focusing on packing for multiply connected domains and cardioids [18] and paraboloids [19]. Sphere packing into irregular containers arises in, e.g., material science [20,21] and nanotechnology [22]. A simple application of sphere packing into a parabolic container can be found in the food industry [23], where a parabolic dish container must be designed to store candies.…”