The melting and solidification of nanowires

  • B. J. Florio
  • T. G. Myers
Research Paper


A mathematical model is developed to describe the melting of nanowires. The first section of the paper deals with a standard theoretical situation, where the wire melts due to a fixed boundary temperature. This analysis allows us to compare with existing results for the phase change of nanospheres. The equivalent solidification problem is also examined. This shows that solidification is a faster process than melting; this is because the energy transfer occurs primarily through the solid rather than the liquid which is a poorer conductor of heat. This effect competes with the energy required to create new solid surface which acts to slow down the process, but overall conduction dominates. In the second section, we consider a more physically realistic boundary condition, where the phase change occurs due to a heat flux from surrounding material. This removes the singularity in initial melt velocity predicted in previous models of nanoparticle melting. It is shown that even with the highest possible flux the melting time is significantly slower than with a fixed boundary temperature condition.


Nanowire Phase change Mathematical model Melting Modelling and simulation 



The research of BF is supported by MACSI funded by the Science Foundation Ireland Grant 12/IA/1683, Royal Irish academy Charlemont Grant 2015 and a MI-NET cost short-term scientific mission, COST-STSM-TD1409-30100. TM acknowledges financial support from the Ministerio de Ciencía e Innovación Grant MTM 2014-56218.


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Copyright information

© Springer Science+Business Media Dordrecht 2016

Authors and Affiliations

  1. 1.Mathematics Applications Consortium for Science and Industry (MACSI), Department of Mathematics and StatisticsUniversity of LimerickLimerickIreland
  2. 2.Centre de Recerca MatemàticaBellaterraSpain

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