Rate Equation and Scaling for Fragmentation with Mass Loss

Authors

Boyd F. Edwards, Utah State UniversityFollow
M. Cai
H. Han

Document Type

Presentation

Journal/Book Title/Conference

Rate Equation and Scaling for Fragmentation with Mass Loss

Publication Date

1-1-1989

Abstract

A linear rate equation describes fragmentation with continuous and discrete mass loss typified by consumption of porous reactive solids and two-phase heterogeneous solids. For a mass-dependent fragmentation rate xα and a continuous-mass-loss rate εxγ,σ=γ-α-1<0 yields a ‘‘recession regime’’ where small particles lose mass continuously without breaking, σ>0 yields a ‘‘fragmentation regime’’ where all particles break, and σ=0 yields scaling for α>0. Shattering for α<0 and σ≥0 is runaway fragmentation producing an infinte number of particles in a finite time, Exact and asymptotic solutions, exponent relations, and connections with static percolation are found.

Comments

Proc. 17th IUPAP InternationalConference of Thermodynamics and Statistical Mechanics -STATPHYS 17, Rio de Janeiro, Brazil

Recommended Citation

Rate Equation and Scaling for Fragmentation with Mass Loss, B. F.Edwards, M. Cai, and H. Han, Proc. 17th IUPAP InternationalConference of Thermodynamics and Statistical Mechanics -STATPHYS 17, Rio de Janeiro, Brazil, 4 August (1989).