Rate equation and scaling for fragmentation with mass loss
Journal Article
·
· Physical Review, A (General Physics); (USA)
- Department of Physics, West Virginia University, Morgantown, West Virginia 26506 (US)
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 {ital x}{sup {alpha}} and a continuous-mass-loss rate {epsilon}{ital x}{sup {gamma}},{sigma}={gamma}{minus}{alpha}{minus}1{lt}0 yields a recession regime'' where small particles lose mass continuously without breaking, {sigma}{gt}0 yields a fragmentation regime'' where all particles break, and {sigma}=0 yields scaling for {alpha}{gt}0. Shattering for {alpha}{lt}0 and {sigma}{ge}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.
- DOE Contract Number:
- FG22-89PC89791
- OSTI ID:
- 6803533
- Journal Information:
- Physical Review, A (General Physics); (USA), Journal Name: Physical Review, A (General Physics); (USA) Vol. 41:10; ISSN PLRAA; ISSN 0556-2791
- Country of Publication:
- United States
- Language:
- English
Similar Records
Exact and asymptotic scaling solutions for fragmentation with mass loss
Exact enumeration and scaling for fragmentation of percolation clusters
''Quasidirect'' observations of cosmic-ray primaries in the energy region 10/sup 12/--10/sup 14/ eV
Journal Article
·
Mon Jan 14 23:00:00 EST 1991
· Physical Review, A; (USA)
·
OSTI ID:6255668
Exact enumeration and scaling for fragmentation of percolation clusters
Journal Article
·
Sat Nov 14 23:00:00 EST 1992
· Physical Review A. General Physics; (United States)
·
OSTI ID:7198423
''Quasidirect'' observations of cosmic-ray primaries in the energy region 10/sup 12/--10/sup 14/ eV
Journal Article
·
Tue Aug 01 00:00:00 EDT 1989
· Phys. Rev. D; (United States)
·
OSTI ID:6031399