Nonlinear Behavior of Thermal Lagging in Laser-Irradiated Layered Tissue
Author(s) -
KuoChi Liu,
ChengChi Wang,
Po-Jeng Cheng
Publication year - 2013
Publication title -
advances in mechanical engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.318
H-Index - 40
eISSN - 1687-8140
pISSN - 1687-8132
DOI - 10.1155/2013/732575
Subject(s) - nonlinear system , materials science , irradiation , heat transfer , laser , partial differential equation , mechanics , boundary value problem , bioheat transfer , thermal , phase (matter) , differential equation , radiation , mathematical analysis , optics , physics , thermodynamics , mathematics , quantum mechanics , nuclear physics
This work theoretically studies the temperature rise behavior in laser-irradiated layered tissue, which was stratified into skin, fat, and muscle. Taking the effect of microstructural interaction into account, a modified non-Fourier equation of bioheat transfer was developed based on the nonlinear form of the dual-phase-lag model. The broad beam irradiation method was adopted to calculate the laser energy deposition in tissues. The nonlinear high order partial differential equation and the complicated boundary conditions at the interface between two adjacent layers cause some mathematical difficulties. It is not easy to deal with such a problem. Therefore, a hybrid numerical scheme has been proposed to solve the present problem. The comparison between the linear and nonlinear effects of phase lag times on bioheat transfer has been made
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