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Please use this identifier to cite or link to this item: http://repository.iitr.ac.in/handle/123456789/11947
Title: Non-linear dual-phase-lag model for analyzing heat transfer phenomena in living tissues during thermal ablation
Authors: Kumar P.
Kumar D.
Rai K.N.
Published in: Journal of Thermal Biology
Abstract: In this article, a non-linear dual-phase-lag (DPL) bio-heat transfer model based on temperature dependent metabolic heat generation rate is derived to analyze the heat transfer phenomena in living tissues during thermal ablation treatment. The numerical solution of the present non-linear problem has been done by finite element Runge-Kutta (4,5) method which combines the essence of Runge-Kutta (4,5) method together with finite difference scheme. Our study demonstrates that at the thermal ablation position temperature predicted by non-linear and linear DPL models show significant differences. A comparison has been made among non-linear DPL, thermal wave and Pennes model and it has been found that non-linear DPL and thermal wave bio-heat model show almost same nature whereas non-linear Pennes model shows significantly different temperature profile at the initial stage of thermal ablation treatment. The effect of Fourier number and Vernotte number (relaxation Fourier number) on temperature profile in presence and absence of externally applied heat source has been studied in detail and it has been observed that the presence of externally applied heat source term highly affects the efficiency of thermal treatment method. © 2016 Elsevier Ltd
Citation: Journal of Thermal Biology (2016), 60(): 204-212
URI: https://doi.org/10.1016/j.jtherbio.2016.07.017
http://repository.iitr.ac.in/handle/123456789/11947
Issue Date: 2016
Publisher: Elsevier Ltd
Keywords: Finite element Runge-Kutta (4, 5) Method
Metabolic heat generation rate
Non-linear DPL bio-heat model
Thermal ablation
Vernotte number
ISSN: 3064565
Author Scopus IDs: 57211464253
57202478211
36442806900
Author Affiliations: Kumar, P., Dept. of Mathematical Sciences, IIT (BHU), Varanasi, India
Kumar, D., DST-CIMS, Faculty of Science, BHU, Varanasi, India
Rai, K.N., Dept. of Mathematical Sciences, IIT (BHU), Varanasi, India, DST-CIMS, Faculty of Science, BHU, Varanasi, India
Funding Details: The first author is thankful to the UGC , India for the financial support under the SRF ( 17- 06/2012/(i) EU-V ) scheme. The second and third authors are also thankful to the DST-CIMS, BHU for providing the necessary facility during the preparation of the paper.
Corresponding Author: Kumar, P.; Dept. of Mathematical Sciences, IIT (BHU)India; email: pkumar.rs.apm12@itbhu.ac.in
Appears in Collections:Journal Publications [ME]

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