[HTML][HTML] Heat equations beyond Fourier: From heat waves to thermal metamaterials

R Kovács - Physics Reports, 2024 - Elsevier
In the past few decades, numerous heat conduction models extending beyond Fourier's
have been developed to account for large gradients, fast phenomena, wave propagation …

[BOOK][B] Heat conduction

S Kakaç, Y Yener, CP Naveira-Cotta - 2018 - books.google.com
Heat Conduction, Fifth Edition, upholds its reputation as the leading text in the field for
graduate students, and as a resource for practicing engineers. The text begins with …

Morphogenetic action through flux-limited spreading

M Verbeni, O Sánchez, E Mollica… - Physics of Life …, 2013 - Elsevier
A central question in biology is how secreted morphogens act to induce different cellular
responses within a group of cells in a concentration-dependent manner. Modeling …

Non-Fourier heat conductions in nanomaterials

M Wang, N Yang, ZY Guo - Journal of Applied Physics, 2011 - pubs.aip.org
We study the non-Fourier heat conductions in nanomaterials based on the thermomass
theory. For the transient heat conduction in a one-dimensional nanomaterial with a low …

Multiscale biological tissue models and flux-limited chemotaxis for multicellular growing systems

N Bellomo, A Bellouquid, J Nieto… - Mathematical Models and …, 2010 - World Scientific
This paper deals with the derivation of macroscopic tissue models from the underlying
description delivered by a class of equations that models binary mixtures of multicellular …

Thermodynamics: The unique universal science

WM Haddad - Entropy, 2017 - mdpi.com
Thermodynamics is a physical branch of science that governs the thermal behavior of
dynamical systems from those as simple as refrigerators to those as complex as our …

Plasticity theory formulated in terms of physically based microstructural variables—Part I. Theory

MB Rubin - International journal of solids and structures, 1994 - Elsevier
In the present paper a theory for elastic-plastic materials is developed that is valid for
general anisotropic response and is independent of the choice of the reference …

An Eulerian hyperbolic model for heat transfer derived via Hamilton's principle: analytical and numerical study

F Dhaouadi, S Gavrilyuk - Proceedings of the Royal …, 2024 - royalsocietypublishing.org
In this paper, we present a new model for heat transfer in compressible fluid flows. The
model is derived from Hamilton's principle of stationary action in Eulerian coordinates, in a …

Relativistic heat conduction

YM Ali, LC Zhang - International journal of heat and mass transfer, 2005 - Elsevier
The hyperbolic heat conduction equation (HHCE), which acknowledges the finite speed of
heat propagation, is based on microscopic evidence from the kinetic theory and statistical …

Comparative analysis of thermal damage to laser-irradiated breast tumor based on Fourier conduction and non-Fourier heat conduction models: A numerical study

A Khosravirad, MB Ayani - International Communications in Heat and Mass …, 2023 - Elsevier
In recent decades, laser technology has been widely used in surgeries and thermal
therapies. To ensure patient safety and enhance therapeutic effectiveness in laser …