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

Dunbar P Birnie; Michael C. Weinberg

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

Dunbar P Birnie, Michael C. Weinberg

Rutgers University

Research output: Contribution to journal › Article › peer-review

8 Citations (Scopus)

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.

Original language	English
Pages (from-to)	484-498
Number of pages	15
Journal	Physica A: Statistical Mechanics and its Applications
Volume	230
Issue number	3-4
Publication status	Published - Sep 1 1996

Keywords

Growth velocity differences
JMAK equations
Particle anisotropy
Transformation kinetics

ASJC Scopus subject areas

Mathematical Physics
Statistical and Nonlinear Physics

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