Transformation kinetics in 1-D processes with continuous nucleation: comparison of shielding and phantom effects

Dunbar P. Birnie and Michael C. Weinberg

Physica A: Statistical Mechanics and its Applications, 1996, vol. 230, issue 3, 484-498

Abstract: A derivation is presented for the fraction of material transformed as a function of time, X(t), for 1-D transformations which occur via continuous nucleation and growth of particles with a distribution of growth velocities. The derivation includes the effects of interparticle shielding as well as shadowed nucleation prevention (“phantoms”). The analytical results are compared with simulations and found to be in close agreement. The shielding effects are more dominant than the phantom effects, though both are important when exact information regarding the extent of transformation is desired.

Keywords: Transformation kinetics; Growth velocity differences; JMAK equations; Particle anisotropy (search for similar items in EconPapers)
Date: 1996
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:230:y:1996:i:3:p:484-498

DOI: 10.1016/0378-4371(96)00124-0

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