A Model for Nanoparticle Melting with a Newton Cooling Condition and Size-Dependent Latent Heat

  • Helena Ribera
  • Timothy G. Myers
Conference paper
Part of the Mathematics in Industry book series (MATHINDUSTRY, volume 26)


In this paper we study the melting of a spherical nanoparticle. To match with experimental data, the model includes several new features such as size-dependent latent heat and a cooling boundary condition at the boundary. Melt temperature variation and density change are also included. A novel form of Stefan condition is used to determine the position of the melt front. Results show that melting times can be significantly faster than those predicted by previous theoretical models, primarily due to the latent heat variation.



The authors acknowledge that the research leading to these results has received funding from “la Caixa” Foundation. TM acknowledges financial support from the Ministerio de Ciencia e Innovación grant MTM2014-56218.


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© Springer International Publishing AG, part of Springer Nature 2017

Authors and Affiliations

  1. 1.Centre de Recerca MatemàticaBarcelonaSpain

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