Comparison of a size-dependent model for the latent heat of small tin nanoparticles

Abstract

The classical formulation for the Stefan problem at the nanoscale does not work because the melting temperature and the effective latent heat decrease with the nanoparticle size. In this work, a model for the effective latent heat is corrected because it does not correspond to the definition of latent heat. This model is used to see the consequences of imposing a Dirichlet boundary condition instead of a convective boundary condition. To do it, the liquid and the solid problem are simplified using a perturbed solution to reduce the Stefan problem into a first order ODE.