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NONEQUILIBRIUM DUAL-PHASE-LAG HEAT TRANSPORT THROUGH BIOLOGICAL TISSUES

Volume 18, Issue 1, 2015, pp. 57-69
DOI: 10.1615/JPorMedia.v18.i1.50
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ABSTRACT

To describe nonequilibrium heat transfer in living biological tissues as porous mediums, the recently developed generalized dual-phase-lag (DPL) model of bioheat transfer equation is studied analytically. An arbitrary time-dependent surface heat flux is considered. In order to compare the tissue thermal behavior, when it is considered as porous and nonporous media, the classical DPL model of bioheat transfer equation is studied as well. Analytical expressions for the DPL model are obtained by applying the Laplace transform (LT) method with the aid of the inversion theorem. The reliability of the present results has been evidenced through comparison with the literature. Since the classical DPL model under certain circumstances can be reduced to the traditional Pennes and thermal wave (TW) models, comparisons between the tissue temperatures and damages predicted by the aforementioned models are carried out. The influences of porosity factor (ε), coupling factor between blood and tissue (G), and various thermal relaxation times on the thermal behavior of biological tissues are investigated and discussed.

CITED BY
  1. Askarizadeh Hossein, Ahmadikia Hossein, Periodic Heat Transfer in Convective Fins Based on Dual-Phase-Lag Theory, Journal of Thermophysics and Heat Transfer, 30, 2, 2016. Crossref

  2. Forghani P., Ahmadikia H., Karimipour A., Non-Fourier Boundary Conditions Effects on the Skin Tissue Temperature Response, Heat Transfer-Asian Research, 46, 1, 2017. Crossref

  3. Askarizadeh Hossein, Ahmadikia Hossein, Analytical study on the transient heating of a two-dimensional skin tissue using parabolic and hyperbolic bioheat transfer equations, Applied Mathematical Modelling, 39, 13, 2015. Crossref

  4. Askarizadeh Hossein, Baniasadi Ehsan, Ahmadikia Hossein, Equilibrium and non-equilibrium thermodynamic analysis of high-order dual-phase-lag heat conduction, International Journal of Heat and Mass Transfer, 104, 2017. Crossref

  5. Askarizadeh Hossein, Ahmadikia Hossein, Dual-Phase-Lag Heat Conduction in Finite Slabs With Arbitrary Time-Dependent Boundary Heat Flux, Heat Transfer Engineering, 37, 12, 2016. Crossref

  6. Nield Donald A., Bejan Adrian, Heat Transfer Through a Porous Medium, in Convection in Porous Media, 2017. Crossref

  7. Shomali Zahra, Kovács Róbert, Ván Péter, Kudinov Igor Vasilievich, Ghazanfarian Jafar, Lagging heat models in thermodynamics and bioheat transfer: a critical review, Continuum Mechanics and Thermodynamics, 34, 3, 2022. Crossref

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