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Comparison of a size-dependent model for the latent heat of small tin nanoparticles

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hdl:2117/89910

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González Esteve, Adrià
Tutor / directorMyers, TimothyMés informacióMés informacióMés informació
Document typeMaster thesis
Date2016-07
Rights accessOpen Access
Attribution-NonCommercial-ShareAlike 3.0 Spain
Except where otherwise noted, content on this work is licensed under a Creative Commons license : Attribution-NonCommercial-ShareAlike 3.0 Spain
Abstract
The classical formulation for the Stefan problem at the nanoscale does not work because the melting temperature and the effective latent heat decrease with the nanoparticle size. In this work, a model for the effective latent heat is corrected because it does not correspond to the definition of latent heat. This model is used to see the consequences of imposing a Dirichlet boundary condition instead of a convective boundary condition. To do it, the liquid and the solid problem are simplified using a perturbed solution to reduce the Stefan problem into a first order ODE.
SubjectsHeat--Transmission, Thermodynamics, Calor--Transmissió, Termodinàmica
DegreeMÀSTER UNIVERSITARI EN MATEMÀTICA AVANÇADA I ENGINYERIA MATEMÀTICA (Pla 2010)
URIhttp://hdl.handle.net/2117/89910
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  • Màsters oficials - Master of Science in Advanced Mathematics and Mathematical Engineering (MAMME) [282]
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