Title: Effect of thermal conductivity in a semiconducting medium under modified Green-Lindsay theory

Authors: Praveen Ailawalia; Priyanka

Addresses: Department of Mathematics, University Institute of Sciences, Chandigarh University, Gharuan-Mohali, 140413, Punjab, India ' Department of Mathematics and Humanities, Maharishi Markandeshwar (Deemed to be University) Mullana-Ambala, 133207, Haryana, India

Abstract: The objective of the present investigation is to study the effect of varying thermal conductivity on photothermal interaction in a semiconducting medium under the modified Green-Lindsay theory. The normal mode analysis technique is used to find the analytic components of displacement, stress, carrier density and temperature distribution. The effect of thermal conductivity on these components is shown graphically for different theories of thermoelasticity namely the Modified Green-Lindsay theory (MGL theory), Green-Lindsay theory (GL theory), Lord-Shulman theory (LS theory) and Classical coupled theory of thermoelasticity (CTE theory). The graphical results show that all the physical quantities depend on thermal conductivity. Moreover, the variations of all the components are oscillatory and the magnitude of oscillations is more when thermal conductivity is constant.

Keywords: Green-Lindsay theory; semiconducting medium; thermal conductivity; temperature distribution; normal mode analysis; carrier density.

DOI: 10.1504/IJCSM.2024.137263

International Journal of Computing Science and Mathematics, 2024 Vol.19 No.2, pp.167 - 179

Received: 02 Feb 2022
Accepted: 26 Feb 2023
Published online: 08 Mar 2024 *

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