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 …

Numerical estimation of temperature response with step heating of a multi-layer skin under the generalized boundary condition

RK Chaudhary, V Chaurasiya, J Singh - Journal of Thermal Biology, 2022 - Elsevier
In this article, we discussed a one-dimensional bioheat transfer mathematical model that
describes the process of temperature distribution in tissue for the multi-layer skin under the …

Analysis of the time-space fractional bioheat transfer equation for biological tissues during laser irradiation

X Wang, H Qi, X Yang, H Xu - International Journal of Heat and Mass …, 2021 - Elsevier
Laser technology has been widely used in biomedical therapies and external surgeries. To
promote its applications, a good thermal model is required to analyze the temperature …

Thermal wave model of bioheat transfer with modified Riemann–Liouville fractional derivative

X Jiang, H Qi - Journal of Physics A: Mathematical and …, 2012 - iopscience.iop.org
In this paper a new fractional thermal wave model of the bioheat transfer (FTWMBT) caused
by spatial heating is built using Taylor's series expansion of modified Riemann–Liouville …

Boundary element algorithm for modeling and simulation of dual-phase lag bioheat transfer and biomechanics of anisotropic soft tissues

MA Fahmy - International Journal of Applied Mechanics, 2018 - World Scientific
The main aim of this paper is to propose a new boundary element algorithm for describing
thermomechanical interactions in anisotropic soft tissues. The governing equations are …

A new LRBFCM-GBEM modeling algorithm for general solution of time fractional-order dual phase lag bioheat transfer problems in functionally graded tissues

MA Fahmy - Numerical Heat Transfer, Part A: Applications, 2019 - Taylor & Francis
The main objective of this article is to propose a new hybrid modeling algorithm based on
combining local radial basis function collocation method (LRBFCM) and general boundary …

Numerical simulation of time fractional dual-phase-lag model of heat transfer within skin tissue during thermal therapy

D Kumar, KN Rai - Journal of Thermal Biology, 2017 - Elsevier
In this paper, we investigated the thermal behavior in living biological tissues using time
fractional dual-phase-lag bioheat transfer (DPLBHT) model subjected to Dirichelt boundary …

A comprehensive numerical study of space-time fractional bioheat equation using fractional-order Legendre functions

R Roohi, MH Heydari, M Aslami… - The European Physical …, 2018 - epjplus.epj.org
The determination of a temperature field within the living tissues and especially during the
thermal therapies requires a comprehensive modeling due to the involved complex heat …

Fractal Pennes and Cattaneo–Vernotte bioheat equations from product-like fractal geometry and their implications on cells in the presence of tumour growth

RA El-Nabulsi - Journal of the Royal Society Interface, 2021 - royalsocietypublishing.org
In this study, the Pennes and Cattaneo–Vernotte bioheat transfer equations in the presence
of fractal spatial dimensions are derived based on the product-like fractal geometry. This …

A study of fractional order dual-phase-lag bioheat transfer model

KN Rai - Journal of Thermal Biology, 2020 - Elsevier
In this study, we have established a space-time fractional DPL bioheat transfer model in the
presence of temperature-dependent metabolic and space-time dependent electromagnetic …