Analytical solution of the hyperbolic heat conduction equation for moving semi-infinite medium under the effect of time-dependent laser heat source

DOI10.1155/2009/604695zbMath1179.35352DBLPjournals/jam/Al-KhairyA09OpenAlexW2026059651WikidataQ58648642 ScholiaQ58648642MaRDI QIDQ1034029

R. T. Al-Khairy, Z. M. Al-Ofey

Publication date: 10 November 2009

Published in: Journal of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/45746

zbMATH Keywords

Laplace transformslaser heat sourcehyperbolic heat conduction equation

Mathematics Subject Classification ID

Critical exponents in context of PDEs (35B33) Transform methods (e.g., integral transforms) applied to PDEs (35A22) Solutions to PDEs in closed form (35C05) Moving boundary problems for PDEs (35R37) PDEs in connection with classical thermodynamics and heat transfer (35Q79)

Related Items (4)

Thermoelastic analysis of a partially insulated crack in a strip under thermal impact loading using the hyperbolic heat conduction theory ⋮ Exact analytic solution and investigation of the Guyer-Krumhansl heat equation ⋮ Numerical analysis of dual-phase-lag heat transfer for a moving finite medium subjected to laser heat source ⋮ Some exact solutions to non-Fourier heat equations with substantial derivative

Cites Work

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• Propagation and reflection of thermal waves in a finite medium due to axisymmetric surface sources
• Heat conduction in a semi-infinite solid due to time-dependent laser source
• Analytical solution for pulsed laser heating process: Convective boundary condition case
• Use of the microscopic parabolic heat conduction model in place of the macroscopic model validation criterion under harmonic boundary heating
• The thermal behavior of thin metal films in the hyperbolic two-step model

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