[HTML][HTML] Finite element analysis of nonlinear bioheat model in skin tissue due to external thermal sources

M Marin, A Hobiny, I Abbas - Mathematics, 2021 - mdpi.com
In this work, numerical estimations of a nonlinear hyperbolic bioheat equation under various
boundary conditions for medicinal treatments of tumor cells are constructed. The heating …

An analytical study on the fractional transient heating within the skin tissue during the thermal therapy

A Ghanmi, IA Abbas - Journal of thermal biology, 2019 - Elsevier
In the present paper, the bioheat equation under fractional derivatives is used to study the
thermal damage within the skin tissue during the thermal therapy. Basically, the analytical …

[HTML][HTML] A GN model on photothermal interactions in a two-dimensions semiconductor half space

A Hobiny, I Abbas - Results in Physics, 2019 - Elsevier
The model of coupled plasma and thermo-elastic wave were used to investigate the wave
propagation in a two-dimensional semiconducting half space by using eigenvalues …

Analytical estimations of temperature in a living tissue generated by laser irradiation using experimental data

FS Alzahrani, IA Abbas - Journal of thermal biology, 2019 - Elsevier
This paper presents an analytical approach associated with Laplace transformation,
experimental temperature data, and a sequential concept over time to obtain the thermal …

Analytical solutions of fractional bioheat model in a spherical tissue

A Hobiny, I Abbas - Mechanics Based Design of Structures and …, 2021 - Taylor & Francis
In this paper, the bio-heat model with fractional derivative is established to study the
variations of temperature and the thermal damage in spherical tissues during thermal …

Nonlinear analysis of dual-phase lag bio-heat model in living tissues induced by laser irradiation

AD Hobiny, IA Abbas - Journal of Thermal Stresses, 2020 - Taylor & Francis
This paper provides a method for determining a numerical solution of the thermal damage of
living tissues using a nonlinear dual phase lag model. Due to the nonlinearity of the basic …

Analytical solution of magneto-photothermal theory during variable thermal conductivity of a semiconductor material due to pulse heat flux and volumetric heat source

AMS Mahdy, K Lotfy, W Hassan… - Waves in Random and …, 2021 - Taylor & Francis
In this investigation, the variable thermal conductivity, which depends on a linear function of
temperature, is studied during photothermal excitation processes. The influence of the …

Natural convection from a vertical permeable cone in a nanofluid saturated porous media for uniform heat and nanoparticles volume fraction fluxes

AJ Chamkha, AM Rashad - … Journal of Numerical Methods for Heat & …, 2012 - emerald.com
Purpose–The purpose of this paper is to study steady, laminar, natural convection boundary‐
layer flow over a permeable vertical cone embedded in a porous medium saturated with a …

Eigenvalue approach for an unbounded medium with a spherical cavity based upon two-temperature generalized thermoelastic theory

IA Abbas - Journal of Mechanical Science and Technology, 2014 - Springer
The thermoelastic interaction in an unbounded medium with a spherical cavity is studied
using two-temperature generalized thermoelasticity theory. The medium is assumed to be …

Non-local memory-dependent heat conduction in a magneto-thermoelastic problem

A Sur - Waves in Random and Complex Media, 2022 - Taylor & Francis
In the present analysis, the non-local behavior during thermal lagging is studied to
accommodate the effect of the thermomass for a piezoelastic half-space due to the influence …