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Nonlinear analysis of a non-Fourier heat conduction problem in a living tissue heated by laser source

Mohammad Javad Noroozi

http://orcid.org/0000-0003-3448-7518

Faculty of Engineering, University of Ayatollah Ozma Boroujerdi, Boroujerd, Iran

E-mail Address: Mo.j.noroozi@gmail.com

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and

Majid Goodarzi

Faculty of Engineering, University of Ayatollah Ozma Boroujerdi, Boroujerd, Iran

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https://doi.org/10.1142/S1793524517501078Cited by:3 (Source: Crossref)

Abstract

The effect of laser, as a heat source, on a one-dimensional finite living tissue was studied in this paper. The dual phase lagging (DPL) non-Fourier heat conduction model was used for thermal analysis. The thermal conductivity was assumed temperature-dependent, resulting in a nonlinear equation. The obtained equations were solved using the approximate-analytical Adomian decomposition method (ADM). It was concluded that the nonlinear analysis was important in non-Fourier heat conduction problems. Moreover, a good agreement between the present nonlinear model and experimental result was obtained.

Keywords:

AMSC: 35K05

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