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dc.contributorMyers, Timothy
dc.contributor.authorIrastorza Ugalde, Beñat
dc.contributor.otherUniversitat Politècnica de Catalunya. Departament de Matemàtica Aplicada I
dc.description.abstractThe 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.
dc.publisherUniversitat Politècnica de Catalunya
dc.subjectÀrees temàtiques de la UPC::Matemàtiques i estadística
dc.subject.otherHeat Transfer
dc.subject.otherNanoscale Heat Transfer
dc.subject.otherHyperbolic Heat Equation
dc.subject.otherCattaneo-Vernotte Equation
dc.subject.otherMaxwell-Cattaneo Equation
dc.titleHeat transfer at the nanoscale : The hyperbolic heat equation
dc.typeBachelor thesis
dc.subject.amsClassificació AMS::80 Classical thermodynamics, heat transfer::80A Thermodynamics and heat transfer
dc.rights.accessOpen Access
dc.audience.mediatorUniversitat Politècnica de Catalunya. Facultat de Matemàtiques i Estadística

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