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Advanced finite element analysis of photothermal response in cylindrical semiconductor with spatial nonlocality and memory-dependent heat transport
Faculty
Science
Year:
2025
Type of Publication:
ZU Hosted
Pages:
Authors:
Khaled Lotfy Mohamed Azab
Staff Zu Site
Abstract In Staff Site
Journal:
International Communications in Heat and Mass Transfer Elsevier
Volume:
Keywords :
Advanced finite element analysis , photothermal response
Abstract:
This study introduces a novel mathematical model for magneto-photo-thermoelastic interaction in hollow cylindrical semiconductors, utilizing a Moore–Gibson–Thompson (MGT) type heat transport process. This advanced model integrates Eringen-type nonlocality and a memory-dependent Fourier law, addressing gaps in understanding photothermoelastic interaction in nonlocal semiconductors. An isotropic cylindrical body with its inner surface at zero temperature and carrier density flux, and its outer surface traction-free with specified heat and carrier density flux is considered. The governing equations, formulated using memorydependent MGT theory and Eringen’s nonlocal stress theory, are solved via the Galerkin finite element method (GFEM) after applying Laplace transforms. Numerical inversion, based on Bellman’s proposition, yields quantitative results for all physical fields in the spatiotemporal domain. The results show the benefits of a nonlinear kernel function over linear ones and highlight the important role of nonlocal theory. Additionally, the study shows how sensitive physical fields are to time-delay parameters, with longer delay times amplifying each field and indicating a lag in heat transport. Furthermore, because thermal waves propagate at finite speeds, photothermal excitation results in significant changes in thermophysical variables. Because they are independent, the temperature field is unaffected by the induced magnetic field. These results contribute to theoretical knowledge and offer useful optimization recommendations for semiconductor design.
Author Related Publications
Khaled Lotfy Mohamed Azab, "Analytical solution of fractional order heat equation under the effects of variable thermal conductivity during photothermal excitation of spherical cavity of semiconductor medium", © 2019 Informa UK Limited, trading as Taylor & Francis Group, 2019
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Khaled Lotfy Mohamed Azab, "Thermal Ramp Type of Photo-Thermal Excitation in Hall Current and Variable Thermal Conductivity of Semiconductor Elastic Material", # Springer Nature B.V. 2020, 2020
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Khaled Lotfy Mohamed Azab, "Normal Mode Method for Two-Temperature Generalized Thermoelasticity under Thermal Shock Problem", Taylor & Francis, 2014
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Khaled Lotfy Mohamed Azab, "The effect of a magnetic field on a 2D problem of fibre-reinforced thermoelasticity rotation under three theories,", Chinese, 2014
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Khaled Lotfy Mohamed Azab, "Mode-I crack in a two-dimensional fibre-reinforced generalized thermoelastic problem,", Chinese, 2014
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