Skip navigation
Please use this identifier to cite or link to this item: http://repository.iitr.ac.in/handle/123456789/12001
Title: Numerical simulation of dual-phase-lag bioheat transfer model during thermal therapy
Authors: Kumar P.
Kumar D.
Rai K.N.
Published in: Mathematical Biosciences
Abstract: This paper theoretically investigates the thermal behavior in a living biological tissue under various coordinate systems and different non-Fourier boundary conditions with the dual-phase-lag bioheat transfer model during thermal therapy. The properties of Legendre wavelets together with the finite difference scheme are used to find an approximate analytical solution of the present problem. It has been observed that surrounding healthy tissues are less affected in second and third kind of boundary condition when applied along with spherical symmetric coordinate system. Also greater temperature rise and fast achievement of peak hyperthermia temperature is achieved when second and third kind of boundary conditions are used in combination with Cartesian coordinate system. It is observed that due to the presence of blood perfusion and temperature dependent metabolic heat generation term, the dual-phase-lag bioheat transfer model reduces to Pennes bioheat transfer model only when Ï„q=Ï„T=0s not for arbitrary Ï„q=Ï„T. Further, in case of dual-phase-lag bioheat transfer model wave-like or diffusion-like behavior will dominate depends whether the ratio Ï„q/Ï„T > 1 or Ï„q/Ï„T < 1. Effect of temperature dependent metabolic heat generation rate, thermal conductivity and blood perfusion rate on dimensionless temperature are discussed in details. The whole analysis is presented in dimensionless form. © 2016 Elsevier Inc.
Citation: Mathematical Biosciences (2016), 281(): 1339-1351
URI: https://doi.org/10.1016/j.mbs.2016.08.013
http://repository.iitr.ac.in/handle/123456789/12001
Issue Date: 2016
Publisher: Elsevier Inc.
Keywords: DPL bioheat transfer model
Finite element wavelet Galerkin method
Generalized coordinate system
Non-Fourier boundary conditions
Thermal damage
Thermal therapy
ISSN: 255564
Author Scopus IDs: 57211464253
57202478211
36442806900
Author Affiliations: Kumar, P., Department of Mathematical Sciences, IIT(BHU), Varanasi, India
Kumar, D., DST-CIMS, Faculty of Science, BHU, Varanasi, India
Rai, K.N., Department 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, New Delhi, 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.; Department of Mathematical Sciences, IIT(BHU), India; email: pkumar.rs.apm12@itbhu.ac.in
Appears in Collections:Journal Publications [ME]

Files in This Item:
There are no files associated with this item.
Show full item record


Items in Repository are protected by copyright, with all rights reserved, unless otherwise indicated.