A Fibonacci wavelet method for solving dual-phase-lag heat transfer model in multi-layer skin tissue during hyperthermia treatment
Date
2021
Authors
Srivastava, H.M.
Irfan, Mohd.
Shah, Firdous A.
Journal Title
Journal ISSN
Volume Title
Publisher
Energies
Abstract
In this article, a novel wavelet collocation method based on Fibonacci wavelets is proposed
to solve the dual-phase-lag (DPL) bioheat transfer model in multilayer skin tissues during hyperthermia
treatment. Firstly, the Fibonacci polynomials and the corresponding wavelets along with
their fundamental properties are briefly studied. Secondly, the operational matrices of integration for
the Fibonacci wavelets are built by following the celebrated approach of Chen and Haiso. Thirdly,
the proposed method is utilized to reduce the underlying DPL model into a system of algebraic
equations, which has been solved using the Newton iteration method. Towards the culmination,
the effect of different parameters including the tissue-wall temperature, time-lag due to heat flux,
time-lag due to temperature gradient, blood perfusion, metabolic heat generation, heat loss due
to diffusion of water, and boundary conditions of various kinds on multilayer skin tissues during
hyperthermia treatment are briefly presented and all the outcomes are portrayed graphically.
Description
Keywords
Fibonacci wavelets, Fibonacci polynomials, dual-phase-lag model, multilayer skin tissue, tumor, bioheat transfer, hyperthermia treatment, initial and boundary conditions
Citation
Srivastava, H. M., Irfan, M., & Shah, F. A. (2021). “A Fibonacci wavelet method for solving dual-phase-lag heat transfer model in multi-layer skin tissue during hyperthermia treatment.” Energies, 14(8), 2254. https://doi.org/10.3390/en14082254