On the permeability of binary packings of spheres
✍ Scribed by José S. Andrade Jr.; Dr. Krishnaswamy Rajagopal; Dr. Farid Benyahia; Dr. Esmail A. Foumeny; Prof. Dr. Colin McGreavy
- Publisher
- John Wiley and Sons
- Year
- 1992
- Tongue
- English
- Weight
- 314 KB
- Volume
- 15
- Category
- Article
- ISSN
- 0930-7516
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It is proved that for no n can the Hamming space [0, 1] n be partitioned into three Hamming spheres of any, not necessarily equal radii. This fact is remarkable, since for every k{3 there exist values of n for which the n-dimensional Hamming space can be partitioned into k spheres.
A new, probabilistic approach is applied to the case of dense random packings of binary mixtures of spheres, assuming gapless packing. The model describes correctly the dependence of the porosity of the packing on mixture composition and size ratio for the disordered dense "phase" of the binary mixt
## D r ~b a k , Noway Some literature on this subject already exists. In a paper by H. S. M. Coxeter, A n upper bound of equal nonoverlapping spheres that can touch another of the same size in Proceedings of Symposia in Pure Mathematics, Vol. 7, 1963, we find a list of references which contains 30