Non-Fourier Heat Conduction

From Phase-Lag Models to Relativistic and Quantum Transport de

Éditeur :

Springer


Paru le : 2023-07-01

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Description

This book presents a broad and well-structured overview of various non-Fourier heat conduction models. The classical Fourier heat conduction model is valid for most macroscopic problems. However, it fails when the wave nature of the heat propagation becomes dominant and memory or non-local spatial effects become significant; e.g., during ultrafast heating, heat transfer at the nanoscale, in granular and porous materials, at extremely high values of the heat flux, or in heat transfer in biological tissues. The book looks at numerous non-Fourier heat conduction models that incorporate time non-locality for materials with memory, such as hereditary materials, including fractional hereditary materials, and/or spatial non-locality, i.e. materials with a non-homogeneous inner structure. Beginning with an introduction to classical transport theory, including phase-lag, phonon, and thermomass models, the book then looks at various aspects of relativistic and quantum transport, including approaches based on the Landauer formalism as well as the Green-Kubo theory of linear response. Featuring an appendix that provides an introduction to methods in fractional calculus, this book is a valuable resource for any researcher interested in theoretical and numerical aspects of complex, non-trivial heat conduction problems.

Pages
422 pages
Collection
n.c
Parution
2023-07-01
Marque
Springer
EAN papier
9783031259722
EAN PDF
9783031259739

Informations sur l'ebook
Nombre pages copiables
4
Nombre pages imprimables
42
Taille du fichier
4649 Ko
Prix
158,24 €
EAN EPUB
9783031259739

Informations sur l'ebook
Nombre pages copiables
4
Nombre pages imprimables
42
Taille du fichier
16353 Ko
Prix
158,24 €

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