Thermal Science

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Hammad Alotaibi

SOLUTION OF LORD-SHULMANS AND DUAL-PHASE-LAG THEORIES PROBLEM ON A PHOTOTHERMAL ROTATIONAL SEMICONDUCTOR MEDIUM WITH VOIDS AND INITIAL STRESS

ABSTRACT

This paper discusses a photo-thermal rotational semiconductor medium with initial stress, and voids by considering two thermoelastic theories: Lord-Shulman and Dual-Phase-Lag models. The equations of motion, temperature, voids, and photothermal have been investigated under two generalized thermoelastic theory. The technique of normal mode has been applied to solve the differential equations system with appropriate boundary conditions. Quantities of physical interest such as displacement, stress components, concentration, temperature, and carrier density are calculated and displayed graphically to demonstrate the effect of the external parameters. The obtained results, by using the two theories, show that the dual-phase-lag theory gives an origin results comparing with obtained results by Lord-Shulman theory. By neglecting the initial stress and voids, and considering the only dual-phase-lag theory, then the results obtained in this paper are deduced to the results of Abbas et al. [1].

KEYWORDS

photothermal waves, Lord-Shulman, dual-phase-lag, voids, initial stress, normal mode analysis technique, semiconductor

PAPER SUBMITTED: 2020-04-19

PAPER REVISED: 2020-05-20

PAPER ACCEPTED: 2020-05-30

PUBLISHED ONLINE: 2020-10-25

DOI REFERENCE: https://doi.org/10.2298/TSCI20S1059A

CITATION EXPORT: view in browser or download as text file

THERMAL SCIENCE YEAR 2020, VOLUME 24, ISSUE Supplement, PAGES [59 - 68]

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Solution of Lord-Shulmans and dual-phase-lag theories problem on a photothermal rotational semiconductor medium with voids and initial stress

© 2026 Society of Thermal Engineers of Serbia. Published by the Vinča Institute of Nuclear Sciences, National Institute of the Republic of Serbia, Belgrade, Serbia. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International licence