Exact self-similar solutions to the fragmentation equation with homogeneous discrete kernel

被引：15
|
作者：
Kostoglou, M [1 ]
机构：
[1] Univ Thessaloniki, Chem Proc Engn Res Inst, Fdn Res & Technol Hellas, GR-54006 Thessaloniki, Greece
来源：
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS | 2003年 / 320卷
关键词：
fragmentation; breakage; self-similar solution; particle size distribution;
D O I：
10.1016/S0378-4371(02)01537-6
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
New large time asymptotic (self-similar) solutions of the fragmentation (breakage) equation are derived in closed form for the case of certain homogeneous discrete fragmentation kernel. A fragmentation kernel is called homogeneous and discrete if it allows only certain ratios between the size of the fragments and that of parent particle. In this case the fragmentation kernel is not a continuous function. The present solutions are the first explicit self-similarity distributions for discontinuous breakage functions. (C) 2002 Elsevier Science B.V. All rights reserved.
引用
收藏
页码：84 / 96
页数：13
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