Stefan problems for melting nanoscaled particles
Back, Julian M. (2015) Stefan problems for melting nanoscaled particles. PhD thesis, Queensland University of Technology.
Under certain conditions, the mathematical models governing the melting of nano-sized particles predict unphysical results, which suggests these models are incomplete. This thesis studies the addition of different physical effects to these models, using analytic and numerical techniques to obtain realistic and meaningful results.
In particular, the mathematical "blow-up" of solutions to ill-posed Stefan problems is examined, and the regularisation of this blow-up via kinetic undercooling. Other effects such as surface tension, density change and size-dependent latent heat of fusion are also analysed.
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|Item Type:||QUT Thesis (PhD)|
|Supervisor:||McCue, Scott & Moroney, Timothy|
|Keywords:||Stefan problems, Size-dependent melting, Surface tension, Finite-time blow-up, Kinetic undercooling, Superheating, Supercooling, Nanoparticle melting, Gibbs-Thomson|
|Divisions:||Current > Schools > School of Mathematical Sciences
Current > QUT Faculties and Divisions > Science & Engineering Faculty
|Institution:||Queensland University of Technology|
|Deposited On:||30 Jan 2015 06:15|
|Last Modified:||08 Sep 2015 06:43|
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