The effect of surface tension and kinetic undercooling on a radially-symmetric melting problem
作者：
Highlights：
• We study a one-phase Stefan problem for melting a nanoscaled spherical ball.
• We include both surface tension and kinetic effects in the Gibbs–Thomson condition.
• Kinetic undercooling is required to keep the solution regular until complete melting.
• With kinetic effects taken into account, the melting temperature is no longer singular.
• The model with kinetic undercooling is consistent with observations of abrupt melting.
摘要
•We study a one-phase Stefan problem for melting a nanoscaled spherical ball.•We include both surface tension and kinetic effects in the Gibbs–Thomson condition.•Kinetic undercooling is required to keep the solution regular until complete melting.•With kinetic effects taken into account, the melting temperature is no longer singular.•The model with kinetic undercooling is consistent with observations of abrupt melting.
论文关键词：Stefan problem,Surface tension,Kinetic undercooling,Nanoparticle melting
论文评审过程：Available online 31 December 2013.
论文官网地址：https://doi.org/10.1016/j.amc.2013.12.003
