All Physics Faculty Publications

Rate Equation and Scaling for Fragmentation with Mass Loss

Document Type

Conference Paper

Journal/Book Title/Conference

Bulletin of the American Physical Society

Volume

34

Publication Date

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

Bull. Am. Phys. Soc. 34, 729

This document is currently not available here.

Share

COinS