Solution kinetics of CuAl2 in an Al-4Cu alloy

A Conserving Discretization for the Free Boundary in a Two-Dimensional Stefan Problem

“…Baty, Tanzilli, and Heckel [3] were the first authors to apply a numerical method using a finite difference method to evaluate the interface position as a function of dissolution time. Their model is also applicable to situations in which the interparticle distance is small, i.e.…”

“…To describe this particle dissolution in rigid media several physical models have been developed, incorporating the effects of long-distance diffusion [3,21,28] and nonequilibrium conditions at the interface [1,13]. The long-distance diffusion models imply that the processes at the interface between particle and matrix proceed infinitely fast.…”

A conserving discretization for a Stefan problem with an interface reaction at the free boundary

“…To describe this particle dissolution in rigid media several physical models have been developed, incorporating the effects of long-distance diffusion [9], [2], [6] and non-equilibrium conditions at the interface [3], [1]. The long-distance diffusion models imply that the processes at the interface between particle and matrix proceed infinitely fast.…”

A mathematical model for the dissolution of stoichiometric particles in multi-component alloys

“…Furthermore, the domain is planar, i.e. a = 0 in equation (2). The interfacial concentrations c sol i satisfy equation (1).…”

“…Due to the scientific and industrial relevance of being able to predict the kinetics of particle dissolution, many models of various complexity [19,11,7,30,2,17,16,21,9,1,20,12,18,28,4,15,8] have been presented and experimentally validated. In recent years the simpler models covering binary and ternary alloys have been extended to cover multicomponent particles [24,26,25].…”