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Heat transfer at the nanoscale : The hyperbolic heat equation

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hdl:2117/77113

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Irastorza Ugalde, Beñat
Tutor / directorMyers, TimothyMés informacióMés informacióMés informació
Document typeBachelor thesis
Date2015-07
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 interest of taking technology to increasingly small scales has required great changes and advances in science. In particular, the well-known Fourier's law (very useful in large scales) has proved to be not accurate enough for describing heat transfer at smaller scales. The goal of this work is to introduce one of the alternatives to Fourier's law, the Cattaneo-Vernotte equation, and the resulting heat transfer model, the Hyperbolic Heat Equation. Numerical and analytical solutions will be provided and two case studies will be analysed, particularly studying the limit between the Parabolic and Hyperbolic Heat Equations at the nano and microscale.
SubjectsHeat--Transmission, Thermodynamics, Calor--Transmissió, Termodinàmica
DegreeGRAU EN MATEMÀTIQUES (Pla 2009)
URIhttp://hdl.handle.net/2117/77113
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  • Facultat de Matemàtiques i Estadística - Grau en Matemàtiques (Pla 2009) [318]
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