title: Asymptotic analysis of particle engulfmemt.
abstract: An asymptotic analysis is conducted on the interaction between an insoluble spherical particle and an advancing solid-liquid interface when the particle is in the near-contact region (gap thickness is much smaller than the particle's radius). The analysis considers only thermal effects in a pure substance. The interface equilibrium temperature includes the undercooling effects due to the front curvature and to the long-range intermolecular forces in the thin melt film behind the particle. An expression for the crystal-particle gap thickness is derived and used to calculate the threshold value for the front velocity V(T) which separates pushing from engulfment.
authors.affiliation: Mathematics Department, The University of Alabama, Tuscaloosa, Alabama 35487-0350, USA.
authors.forename: L
authors.initials: L
authors.lastname: Hadji