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Heat Transfer Research
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ISSN Imprimer: 1064-2285
ISSN En ligne: 2162-6561

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Heat Transfer Research

DOI: 10.1615/HeatTransRes.2018021095
pages 1459-1488

CYLINDRICAL COORDINATE SYSTEM-BASED FORMULATION TO INVESTIGATE THERMAL RESPONSE OF LASER-IRRADIATED TISSUE PHANTOMS USING NON-FOURIER HEAT CONDUCTION MODELS

K. K. Sravan
Department of Mechanical Engineering, Indian Institute of Technology Bombay, Powai – 400076, Mumbai, India
Atul Srivastava
Department of Mechanical Engineering, Indian Institute of Technology Bombay, Powai – 400076, Mumbai, India

RÉSUMÉ

Phenomenon of heat transfer through the body of biological tissue phantoms has been numerically modelled in cylindrical coordinate system. The tissue phantom has been subjected to a train of short pulse laser irradiation. Time history of intensity distribution within the phantom has been determined through FVM-based solution of transient radiative transfer equation (RTE). The solution of RTE has been coupled with one of the most generalised non-Fourier heat conduction models, i.e. dual phase lag (DPL) model to determine the temperature field. The numerical methodology developed has been verified against the results reported in the literature. The DPL-based temperature predictions have been compared with those of Fourier and hyperbolic models. Effects of relaxation times associated with temperature gradient (τT) and heat flux (τq) have been investigated. Results reveal that non-Fourier models predict substantially higher temperature levels compared to that for the Fourier model. The studies performed to analyse the effects of τT and τq on temperature response show that τq induces wave nature to the thermal fronts propagating in the tissue medium. On the other hand, τT tends to smoothen the wave nature of sharp thermal wave fronts induced by τq. Effects of absorption inhomogeneity on temperature distributions have been captured quite well. To the best of our knowledge, the work presented is one of the first attempts to develop the cylindrical coordinate system-based numerical methodology for coupling the transient form of RTE to the most generalised non-Fourier model (dual phase lag model) and holds it importance in therapeutic applications of short pulse lasers.


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