Non-Fourier heat conduction: The Maxwell-Cattaneo equations
Non-Fourier heat conduction: The Maxwell-Cattaneo equations
We study the derivation, properties and solution methods of the classical and the hyperbolic heat transfer equations. Some results to approximate the hyperbolic model with the classical model for small values of the thermal relaxation time are given. Finally, two examples of application of the hyperbolic model are studied and discussed.
Differential equations, Àrees temàtiques de la UPC::Matemàtiques i estadística::Equacions diferencials i integrals::Equacions en derivades parcials, Equacions diferencials hiperbòliques, Classificació AMS::35 Partial differential equations::35L Partial differential equations of hyperbolic type, Hyperbolic heat equation, Non-Fourier heat conduction, Maxwell-Cattaneo equations, Parabolic heat equation, Differential equations, Partial, Partial, 510, Thermal propagation
Differential equations, Àrees temàtiques de la UPC::Matemàtiques i estadística::Equacions diferencials i integrals::Equacions en derivades parcials, Equacions diferencials hiperbòliques, Classificació AMS::35 Partial differential equations::35L Partial differential equations of hyperbolic type, Hyperbolic heat equation, Non-Fourier heat conduction, Maxwell-Cattaneo equations, Parabolic heat equation, Differential equations, Partial, Partial, 510, Thermal propagation
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).0 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Average influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Average impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average
Citations provided by BIP!Popularity provided by BIP!