Modelling of non-isothermal transformations in alloys containing a particle distribution

A framework for modelling coupled nucleation, growth and coarsening in diluted alloys is presented, based on the method of finite differences. According to the assumptions, the particle distribution is divided into a series of discrete size classes, each represented by a control volume. By applying a standard procedure for discretization of the governing evolution equation, the flux of particles in and out of the control volumes can be...