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Noroozi MJ, Goodarzi M. Nonlinear analysis of a non-Fourier heat conduction problem in a living tissue heated by laser source. INT J BIOMATH 2017. [DOI: 10.1142/s1793524517501078] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/18/2022]
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.
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Affiliation(s)
| | - Majid Goodarzi
- Faculty of Engineering, University of Ayatollah Ozma Boroujerdi, Boroujerd, Iran
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