[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 …

Heat conduction at micro and nanoscales: a review through the prism of extended irreversible thermodynamics

G Lebon - Journal of Non-Equilibrium Thermodynamics, 2014 - degruyter.com
This review paper is dedicated to a description of heat transport at micro and nanoscales
from the viewpoint of Extended Irreversible Thermodynamics. After a short survey of the …

Nonlocal thermoelasticity based on nonlocal heat conduction and nonlocal elasticity

YJ Yu, XG Tian, QL **ong - European Journal of Mechanics-A/Solids, 2016 - Elsevier
Thermoelastic analysis at micro and nano-scale is becoming important along with the
miniaturization of the device and wide application of ultrafast lasers, even the novel laser …

Lagging heat models in thermodynamics and bioheat transfer: a critical review

Z Shomali, R Kovács, P Ván, IV Kudinov… - Continuum Mechanics …, 2022 - Springer
The accuracy of the classical heat conduction model, known as Fourier's law, is highly
questioned, dealing with the micro-and nanosystems and biological tissues. In other words …

Analytical solutions for heat diffusion beyond Fourier law

KV Zhukovsky, HM Srivastava - Applied Mathematics and Computation, 2017 - Elsevier
We obtain solutions for differential equations, describing a broad range of physical problems
by the operational method with recourse to inverse differential operators, integral transforms …

Maxwell–Cattaneo double-diffusive convection: limiting cases

DW Hughes, MRE Proctor, IA Eltayeb - Journal of Fluid Mechanics, 2021 - cambridge.org
Double-diffusive convection, in which a fluid is acted upon by two fields (such as
temperature and salinity) that affect the density, has been widely studied in areas as diverse …

[BOEK][B] Non-Fourier Heat Conduction

AI Zhmakin - 2023 - Springer
The Fourier heat conduction model is valid for most macroscopic problems. However, it fails
when the wave nature of the heat propagation or the time lags become dominant and the …

Non-axisymmetric Homann stagnation-point flow of Walter's B nanofluid over a cylindrical disk

M Khan, M Sarfraz, J Ahmed, L Ahmad… - Applied Mathematics and …, 2020 - Springer
The study of non-axisymmetric Homann stagnation-point flow of Walter's B nanofluid along
with magnetohydrodynamic (MHD) and non-linear Rosseland thermal radiation over a …

Exact solution of Guyer–Krumhansl type heat equation by operational method

KV Zhukovsky - International Journal of Heat and Mass Transfer, 2016 - Elsevier
We construct particular solutions for some heat transport differential equations, in particular,
for extended forms of hyperbolic heat equation and of Guyer–Krumhansl (GK) equation. The …

Heat conduction beyond the Fourier law

AI Zhmakin - Technical Physics, 2021 - Springer
The Fourier law correctly describes heat transport in most practical macroscopic problems.
However, for heat transfer in rapid processes, heat transport on micro-and nanoscales, and …